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Articles 1  30 of 51
FullText Articles in Physical Sciences and Mathematics
Book Review: Life On Mars: What To Know Before We Go, T. D. Oswalt
Book Review: Life On Mars: What To Know Before We Go, T. D. Oswalt
Publications
This document is Dr. Oswalt’s review of Life on Mars: what to know before we go. Princeton, 2018. 302p index ISBN 9780691180533, $29.95; ISBN 9781400889945 ebook, contact publisher for price.
Bayesian Analysis Of Two Stellar Populations In Galactic Globular Clusters Ii: Ngc 5024, Ngc 5272, And Ngc 6352, Rachel WagnerKaiser, Ted Von Hippel, David Stenning, Elliot Robinson, Ata Sarajedini, David Van Dyk, Nathan Stein, William H. Jefferys
Bayesian Analysis Of Two Stellar Populations In Galactic Globular Clusters Ii: Ngc 5024, Ngc 5272, And Ngc 6352, Rachel WagnerKaiser, Ted Von Hippel, David Stenning, Elliot Robinson, Ata Sarajedini, David Van Dyk, Nathan Stein, William H. Jefferys
Publications
We use Cycle 21 Hubble Space Telescope (HST) observations and HST archival ACS Treasury observations of Galactic Globular Clusters to find and characterize two stellar populations in NGC 5024 (M53), NGC 5272 (M3), and NGC 6352. For these three clusters, both single and doublepopulation analyses are used to determine a best fit isochrone(s). We employ a sophisticated Bayesian analysis technique to simultaneously fit the cluster parameters (age, distance, absorption, and metallicity) that characterize each cluster. For the twopopulation analysis, unique population level helium values are also fit to each distinct population of the cluster and the relative proportions of ...
Interaction Between Gravitational Radiation And Electromagnetic Radiation, Preston Jones, Douglas Singleton
Interaction Between Gravitational Radiation And Electromagnetic Radiation, Preston Jones, Douglas Singleton
Publications
In this review paper we investigate the connection between gravity and electromagnetism from Faraday to the present day. The particular focus is on the connection between gravitational and electromagnetic radiation. We discuss electromagnetic radiation produced when a gravitational wave passes through a magnetic field. We then discuss the interaction of electromagnetic radiation with gravitational waves via Feynman diagrams of the process graviton + graviton → photon + photon. Finally we review recent work on the vacuum production of counterpart electromagnetic radiation by gravitational waves.
Testing VelocityDependent CptViolating Gravitational Forces With Radio Pulsars, Lijing Shao, Quentin G. Bailey
Testing VelocityDependent CptViolating Gravitational Forces With Radio Pulsars, Lijing Shao, Quentin G. Bailey
Publications
In the spirit of effective field theory, the standardmodel extension (SME) provides a comprehensive framework to systematically probe the possibility of Lorentz/CPT violation. In the pure gravity sector, operators with mass dimension larger than 4, while in general being advantageous to shortrange experiments, are hard to investigate with systems of astronomical size. However, there is exception if the leadingorder effects are CPTviolating and velocitydependent. Here we study the lowestorder operators in the pure gravity sector that violate the CPT symmetry with carefully chosen relativistic binary pulsar systems. Applying the existing analytical results to the dynamics of a binary orbit ...
Gravity's Light In The Shadow Of The Moon, Andri Gretarsson, Preston Jones, Douglas Singleton
Gravity's Light In The Shadow Of The Moon, Andri Gretarsson, Preston Jones, Douglas Singleton
Publications
In this essay we look at the possibility of vacuum production of very low frequency electromagnetic radiation from a gravitational wave background (i.e. gravity's light). We also propose that this counterpart electromagnetic radiation should be detectable by a lunar orbiting satellite which is periodically occulted by the Moon (i.e., in the shadow of the Moon). For concreteness we consider the possibility of detection of both the gravitational wave and hypothesized electromagnetic radiation counterpart from the supernova core collapse of Betelgeuse
Relating Noncommutative So(2,3)* Gravity To The LorentzViolating StandardModel Extension, Quentin G. Bailey, Charles D. Lane
Relating Noncommutative So(2,3)* Gravity To The LorentzViolating StandardModel Extension, Quentin G. Bailey, Charles D. Lane
Publications
We consider a model of noncommutative gravity that is based on a spacetime with broken local SO(2,3)* symmetry. We show that the torsionfree version of this model is contained within the framework of the Lorentzviolating StandardModel Extension (SME). We analyze in detail the relation between the torsionfree, quadratic limits of the broken SO(2,3)* model and the StandardModel Extension. As part of the analysis, we construct the relevant geometric quantities to quadratic order in the metric perturbation around a flat background.
Weighted Composition Operators On Analytic Function Spaces: Some Recent Progress, Dip Acharyya
Weighted Composition Operators On Analytic Function Spaces: Some Recent Progress, Dip Acharyya
Publications
Theory of Composition Operators is a steady point of interest for almost 100 years. While studying these operators, our general goal is to describe their operator theoretic properties in terms of the associated function symbols. In this talk, I will discuss some recent results concerning linear combinations (sums, differences, etc.) of weighted composition operators in certain spaces of Analytic functions.
Superresolution Mapping Of Energy Landscape For Single Charge Carriers In Plastic Semiconductors, Yifei Jiang, Jason Mcneill
Superresolution Mapping Of Energy Landscape For Single Charge Carriers In Plastic Semiconductors, Yifei Jiang, Jason Mcneill
Publications
The performance of conjugated polymer devices is largely dictated by charge transport processes. However, it is difficult to obtain a clear relationship between conjugated polymer structures and charge transport properties, due to the complexity of the structure and the dispersive nature of charge transport in conjugated polymers. Here, we develop a method to map the energy landscape for charge transport in conjugated polymers based on simultaneous, correlated charge carrier tracking and singleparticle fluorescence spectroscopy. In nanoparticles of the conjugated polymer poly[9,9dioctylfluorenyl2,7diyl)co1,4benzo{2,1′3}thiadiazole)], two dominant chain conformations were observed, a blueemitting phase ...
A Bayesian Analysis Of The Ages Of Four Open Clusters, Elizabeth Jeffery, Ted Von Hippel, David A. Van Dyk, David C. Stenning, Elliot Robinson, Nathan Sten, William H. Jefferys
A Bayesian Analysis Of The Ages Of Four Open Clusters, Elizabeth Jeffery, Ted Von Hippel, David A. Van Dyk, David C. Stenning, Elliot Robinson, Nathan Sten, William H. Jefferys
Publications
In this paper we apply a Bayesian technique to determine the best fit of stellar evolution models to find the main sequence turn off age and other cluster parameters of four intermediateage open clusters: NGC 2360, NGC 2477, NGC 2660, and NGC 3960. Our algorithm utilizes a Markov chain Monte Carlo technique to fit these various parameters, objectively finding the bestfit isochrone for each cluster. The result is a highprecision isochrone fit. We compare these results with the those of traditional “byeye” isochrone fitting methods. By applying this Bayesian technique to NGC 2360, NGC 2477, NGC 2660, and NGC 3960 ...
Weighted Composition Operators On Spaces Of Analytic Functions: A Survey, Soumyadip Acharyya
Weighted Composition Operators On Spaces Of Analytic Functions: A Survey, Soumyadip Acharyya
Publications
“Pure mathematics is, in its way, the poetry of logical ideas.”  Albert Einstein. Pure mathematicians study abstract entities and structures that underlie mathematics. Although their general perspective is “math for math’s sake”, sometimes even the most abstract mathematics can have unexpected applications! Come learn some of these astonishing discoveries in the history of science and mathematics! They might make you thrilled but keep in mind realworld usage is rarely the goal behind developing a new mathematical theory.
Welcome to the world of pure mathematics! In this talk, we will focus on the theory of composition operators which is a ...
Database Review: Sao/Nasa Astrophysics Data System, Laura Pope Robbins
Database Review: Sao/Nasa Astrophysics Data System, Laura Pope Robbins
Publications
Laura Pope Robbins is an advisor for The Charleston Advisor, and the review below is included in Scholarly Commons with the permission of the publisher.
The Astrophysics Data System (ADS) is the premier Open Access research database for astronomy and astrophysics containing over 13 million bibliographic records. These records include journal articles, books, conference proceedings, historical observatory bulletins, and other gray literature. An exceptional feature of ADS is the visualizations it creates, showing author networks, overlapping citations, and frequently occurring terminology giving researchers new ways to explore the literature. It is a unique resource that is as easy for a ...
EHooks Provide Guidance And A Soft Landing For The Microtubule Binding Domain Of Dynein, Nayere Tajielyato, Lin Li, Yunhui Peng, Joshua Alper, Emil Alexov
EHooks Provide Guidance And A Soft Landing For The Microtubule Binding Domain Of Dynein, Nayere Tajielyato, Lin Li, Yunhui Peng, Joshua Alper, Emil Alexov
Publications
Macromolecular binding is a complex process that involves sensing and approaching the binding partner, adopting the proper orientation, and performing the physical binding. We computationally investigated the role of Ehooks, which are intrinsically disordered regions (IDRs) at the Cterminus of tubulin, on dynein microtubule binding domain (MTBD) binding to the microtubule as a function of the distance between the MTBD and its binding site on the microtubule. Our results demonstrated that the contacts between Ehooks and the MTBD are dynamical; multiple negatively charted patches of amino acids on the Ehooks grab and release the same positively charged patches on the ...
Identifying Weak Interdomain Interactions That Stabilize The Supertertiary Structure Of The NTerminal Tandem Pdz Domains Of Psd95, Inna S. Yanez Orozco, Frank A. Mindlin, Junyan Ma, Bo Wang, Brie Levesque, Matheu Spencer, Soheila Rezaei Adariani, George Hamilton, Feng Ding, Mark E. Bowen, Hugo Sanabria
Identifying Weak Interdomain Interactions That Stabilize The Supertertiary Structure Of The NTerminal Tandem Pdz Domains Of Psd95, Inna S. Yanez Orozco, Frank A. Mindlin, Junyan Ma, Bo Wang, Brie Levesque, Matheu Spencer, Soheila Rezaei Adariani, George Hamilton, Feng Ding, Mark E. Bowen, Hugo Sanabria
Publications
Previous studies of the Nterminal PDZ tandem from PSD95 produced divergent models and failed to identify interdomain contacts stabilizing the structure. We used ensemble and singlemolecule FRET along with replicaexchange molecular dynamics to fully characterize the energy landscape. Simulations and experiments identified two conformations: an openlike conformation with a small contact interface stabilized by salt bridges, and a closedlike conformation with a larger contact interface stabilized by surfaceexposed hydrophobic residues. Both interfaces were confirmed experimentally. Proximity of interdomain contacts to the binding pockets may explain the observed coupling between conformation and binding. The lowenergy barrier between conformations allows submillisecond dynamics ...
Dust Production And Depletion In Evolved Planetary Systems, J. Farihi, Ted Von Hippel, Rik Van Lieshout, P.W. Cauley, Erik Dennihy, Et Al.
Dust Production And Depletion In Evolved Planetary Systems, J. Farihi, Ted Von Hippel, Rik Van Lieshout, P.W. Cauley, Erik Dennihy, Et Al.
Publications
The infrared dust emission from the white dwarf GD 56 is found to rise and fall by 20 per cent peaktopeak over 11.2 yr, and is consistent with ongoing dust production and depletion. It is hypothesized that the dust is produced via collisions associated with an evolving dust disc, temporarily increasing the emitting surface of warm debris, and is subsequently destroyed or assimilated within a few years. The variations are consistent with debris that does not change temperature, indicating that dust is produced and depleted within a fixed range of orbital radii. Gas produced in collisions may rapidly recondense ...
Full Field Computing For Elastic Pulse Dispersion In Inhomogeneous Bars, A. Berezovski, R. Kolman, M. Berezovski, D. Gabriel, V. Adamek
Full Field Computing For Elastic Pulse Dispersion In Inhomogeneous Bars, A. Berezovski, R. Kolman, M. Berezovski, D. Gabriel, V. Adamek
Publications
In the paper, the finite element method and the finite volume method are used in parallel for the simulation of a pulse propagation in periodically layered composites beyond the validity of homogenization methods. The direct numerical integration of a pulse propagation demonstrates dispersion effects and dynamic stress redistribution in physical space on example of a onedimensional layered bar. Results of numerical simulations are compared with analytical solution constructed specifically for the considered problem. Analytical solution as well as numerical computations show the strong influence of the composition of constituents on the dispersion of a pulse in a heterogeneous bar and ...
Bayesian Hierarchical Modelling Of InitialFinal Mass Relations Across Star Clusters, Shijing Si, David A. Van Dyk, Ted Von Hippel, Elliot Robinson, Elizabeth Jeffery, David C. Stenning
Bayesian Hierarchical Modelling Of InitialFinal Mass Relations Across Star Clusters, Shijing Si, David A. Van Dyk, Ted Von Hippel, Elliot Robinson, Elizabeth Jeffery, David C. Stenning
Publications
The initialfinal mass relation (IFMR) of white dwarfs (WDs) plays an important role in stellar evolution. To derive precise estimates of IFMRs and explore how they may vary among star clusters, we propose a Bayesian hierarchical model that pools photometric data from multiple star clusters. After performing a simulation study to show the benefits of the Bayesian hierarchical model, we apply this model to five star clusters: the Hyades, M67, NGC 188, NGC 2168, and NGC 2477, leading to reasonable and consistent estimates of IFMRs for these clusters. We illustrate how a clusterspecific analysis of NGC 188 using its own ...
Rapid Screening Of Ellagitannins In Natural Sources Via Targeted Reporter Ion Triggered Tandem Mass Spectrometry, Jeremiah J. Bowers, Harsha P. Gunawardena, Anaëlle Cornu, Ashwini S. Narvekar, Antoine Richieu, Denis Deffieux, Stéphane Quideau, Nishanth Tharayil
Rapid Screening Of Ellagitannins In Natural Sources Via Targeted Reporter Ion Triggered Tandem Mass Spectrometry, Jeremiah J. Bowers, Harsha P. Gunawardena, Anaëlle Cornu, Ashwini S. Narvekar, Antoine Richieu, Denis Deffieux, Stéphane Quideau, Nishanth Tharayil
Publications
Complex biomolecules present in their natural sources have been difficult to analyze using traditional analytical approaches. Ultrahighperformance liquid chromatography (UHPLCMS/MS) methods have the potential to enhance the discovery of a less well characterized and challenging class of biomolecules in plants, the ellagitannins. We present an approach that allows for the screening of ellagitannins by employing higher energy collision dissociation (HCD) to generate reporter ions for classification and collisioninduced dissociation (CID) to generate unique fragmentation spectra for isomeric variants of previously unreported species. Ellagitannin anions efficiently form three characteristic reporter ions after HCD fragmentation that allows for the classification of ...
Bayesian Analysis Of Two Stellar Populations In Galactic Globular Clusters I: Statistical And Computational Methods, David Stenning, Ted Von Hippel, Rachel WagnerKaiser, Elliot Robinson, David Van Dyk, Ata Sarajedini, Nathan Stein
Bayesian Analysis Of Two Stellar Populations In Galactic Globular Clusters I: Statistical And Computational Methods, David Stenning, Ted Von Hippel, Rachel WagnerKaiser, Elliot Robinson, David Van Dyk, Ata Sarajedini, Nathan Stein
Publications
We develop a Bayesian model for globular clusters composed of multiple stellar populations, extend ing earlier statistical models for open clusters composed of simple (single) stellar populations (e.g., van Dyk et al. 2009; Stein et al. 2013). Specifically, we model globular clusters with two populations that differ in helium abundance. Our model assumes a hierarchical structuring of the parameters in which physical propertiesage, metallicity, helium abundance, distance, absorption, and initial massare common to (i) the cluster as a whole or to (ii) individual populations within a cluster, or are unique to (iii) individual stars. An adaptive Markov ...
MountainWave Propagation Under Transient Tropospheric Forcing: A Deepwave Case Study, Tanja C. Portele, Andreas Dörnbrack, Johannes S. Wagner, Sonja Gisinger, Benedikt Ehard, PierreDominique Pautet, Markus Rapp
MountainWave Propagation Under Transient Tropospheric Forcing: A Deepwave Case Study, Tanja C. Portele, Andreas Dörnbrack, Johannes S. Wagner, Sonja Gisinger, Benedikt Ehard, PierreDominique Pautet, Markus Rapp
Publications
The impact of transient tropospheric forcing on the deep vertical mountainwave propagation is investigated by a unique combination of in situ and remote sensing observations and numerical modeling. The temporal evolution of the upstream lowlevel wind follows approximately a cos^{2} shape and was controlled by a migrating trough and connected fronts. Our case study reveals the importance of the timevarying propagation conditions in the upper troposphere and lower stratosphere (UTLS). Uppertropospheric stability, the wind profile, and the tropopause strength affected the observed and simulated wave response in the UTLS. Legintegrated alongtrack momentum fluxes (MF_{track}) and amplitudes of vertical ...
KelvinHelmholtz Instability: Lessons Learned And Ways Forward, A. Masson, K. Nykyri
KelvinHelmholtz Instability: Lessons Learned And Ways Forward, A. Masson, K. Nykyri
Publications
The Kelvin–Helmholtz instability (KHI) is a ubiquitous phenomenon across the Universe, observed from 500 m deep in the oceans on Earth to the Orion molecular cloud. Over the past two decades, several space missions have enabled a leap forward in our understanding of this phenomenon at the Earth’s magnetopause. Key results obtained by these missions are first presented, with a special emphasis on Cluster and THEMIS. In particular, as an ideal instability, the KHI was not expected to produce mass transport. Simulations, later confirmed by spacecraft observations, indicate that plasma transport in Kelvin–Helmholtz (KH) vortices can arise ...
Orbital Characteristics Of The SubdwarfB And F V Star Binary Ec 201174014 (=V4640 Sgr), T. Otani, T. D. Oswalt, A. E. LynasGray, D. Kilkenny, C. Koen, M. Amaral, R. Jordan
Orbital Characteristics Of The SubdwarfB And F V Star Binary Ec 201174014 (=V4640 Sgr), T. Otani, T. D. Oswalt, A. E. LynasGray, D. Kilkenny, C. Koen, M. Amaral, R. Jordan
Publications
Among the competing evolution theories for subdwarfB (sdB) stars is the binary evolution scenario. EC 201174014 (=V4640 Sgr) is a spectroscopic binary system consisting of a pulsating sdB star and a late F mainsequence companion; however, the period and the orbit semimajor axes have not been precisely determined. This paper presents orbital characteristics of the EC 201174014 binary system using 20 years of photometric data. Periodic observed minus calculated (O–C) variations were detected in the two highestamplitude pulsations identified in the EC 201174014 power spectrum, indicating the binary system's precise orbital period (P = 792.3 days) and the ...
Book Review: Spectral Atlas For Amateur Astronomers: A Guide To The Spectra Of Astronomical Objects And Terrestrial Light Sources, T. D. Oswalt
Publications
This document is Dr. Oswalt’s review of Spectral Atlas for Amateur Astronomers: A Guide to the Spectra of Astronomical Objects and Terrestrial Light Sources by Richard Walker. Cambridge 2017, 277 p bibl index, 9781107165908 $89.99, 9781316731048 $72.00
Seasonal Propagation Characteristics Of Mstids Observed At High Latitudes Over Central Alaska Using The Poker Flat Incoherent Scatter Radar, Michael R. Negale, Michael J. Taylor, M. J. Nicolls, Sharon L. Vadas, Kim Nielsen, Craig J. Heinselman
Seasonal Propagation Characteristics Of Mstids Observed At High Latitudes Over Central Alaska Using The Poker Flat Incoherent Scatter Radar, Michael R. Negale, Michael J. Taylor, M. J. Nicolls, Sharon L. Vadas, Kim Nielsen, Craig J. Heinselman
Publications
Near‐continuous electron density measurements obtained over a ∼3 year period, 2010–2013, using the Poker Flat Incoherent Scatter Radar (PFISR) in central Alaska (69°N, 147°W) have been analyzed to quantify the properties of over 650 high‐latitude medium‐scale traveling ionospheric disturbances (MSTIDs). Our analysis focused on the altitude range 100–300 km encompassing the lower ionosphere/thermosphere and yielded first full seasonal day/night distributions of MSTIDs at high northern latitudes with mean values: horizontal wavelength 446 km, horizontal phase speed 187 m/s, and period 41 min. These year‐round measurements fill an important summertime ...
Thermal Removal Of Carbon Dioxide From The Atmosphere: Energy Requirements And Scaling Issues, Ted Von Hippel
Thermal Removal Of Carbon Dioxide From The Atmosphere: Energy Requirements And Scaling Issues, Ted Von Hippel
Publications
I conduct a systemslevel study of direct air capture of CO2 using techniques from thermal physics. This system relies on a combination of an efficient heat exchanger, radiative cooling, and refrigeration, all at industrial scale and operated in environments at low ambient temperatures. While technological developments will be required for such a system to operate efficiently, those developments rest on a long history of refrigeration expertise and technology, and they can be developed and tested at modest scale. I estimate that the energy required to remove CO2 via this approach is comparable to direct air capture by other techniques. The ...
Algal Biofuel: The Future Of Green Jet Fuel In Air Transportation, Rajee Olaganathan
Algal Biofuel: The Future Of Green Jet Fuel In Air Transportation, Rajee Olaganathan
Publications
The aviation industry is one of the major contributors for the greenhouse gases. As air travel has become inevitable in this modern era, and fossil fuel usage is not sustainable, it is essential to produce renewable fuel and commercialize it to reduce the greenhouse gas emissions. In order to produce an alternate aviation biofuel a lot of industrial and academic collaborations have been developed worldwide. The main concern of this collaborative research is to produce aviation biofuel from renewable resources with low environmental impacts, and which is sustainable at an economically viable price. This minireview briefly discusses the biotechnological approaches ...
Breaking The Habit: The Peculiar 2016 Eruption Of The Unique Recurrent Nova M31n 200812a, M. Henze, T. D. Oswalt, M. J. Darnley, S. C. Williams, M. Kato, Et Al.
Breaking The Habit: The Peculiar 2016 Eruption Of The Unique Recurrent Nova M31n 200812a, M. Henze, T. D. Oswalt, M. J. Darnley, S. C. Williams, M. Kato, Et Al.
Publications
Since its discovery in 2008, the Andromeda galaxy nova M31N 200812a has been observed in eruption every single year. This unprecedented frequency indicates an extreme object, with a massive white dwarf and a high accretion rate, which is the most promising candidate for the singledegenerate progenitor of a Type Ia supernova known to date. The previous three eruptions of M31N 200812a have displayed remarkably homogeneous multiwavelength properties: (i) from a faint peak, the optical light curve declined rapidly by two magnitudes in less than two days, (ii) early spectra showed initial high velocities that slowed down significantly within days and ...
A Versatile Carbon NanotubeBased Scalable Approach For Improving Interfaces In LiIon Battery Electrodes, Lakshman K. Ventrapragada, Jingyi Zhu, Stephen E. Creager, Apparao M. Rao, Ramakrishna Podila
A Versatile Carbon NanotubeBased Scalable Approach For Improving Interfaces In LiIon Battery Electrodes, Lakshman K. Ventrapragada, Jingyi Zhu, Stephen E. Creager, Apparao M. Rao, Ramakrishna Podila
Publications
Resistive interfaces within the electrodes limit the energy and power densities of a battery, for example, a Liion battery (LIB). Typically, active materials are mixed with conductive additives in organic solvents to form a slurry, which is then coated on current collectors (e.g., bare or carboncoated Al foils) to reduce the inherent resistance of the active material. Although many approaches using nanomaterials to either replace Al foils or improve conductivity within the active materials have been previously demonstrated, the resistance at the current collector active material interface (CCAMI), a key factor for enhancing the energy and power densities, remains ...
Updated Guidelines, Updated Curriculum: The Gaise College Report And Introductory Statistics For The Modern Student, Beverly Wood, Megan Mocko, Michelle Everson, Nicholas J. Horton, Paul Velleman
Updated Guidelines, Updated Curriculum: The Gaise College Report And Introductory Statistics For The Modern Student, Beverly Wood, Megan Mocko, Michelle Everson, Nicholas J. Horton, Paul Velleman
Publications
Since the 2005 American Statistical Association's (ASA) endorsement of the Guidelines for Assessment and Instruction in Statistics Education (GAISE) College Report, changes in the statistics field and statistics education have had a major impact on the teaching and learning of statistics. We now live in a world where "Statistics  the science of learning from data  is the fastestgrowing science, technology, engineering, and math (STEM) undergraduate degree in the United States," according to the ASA, and where many jobs demand an understanding of how to explore and make sense of data. In light of these new reports and other changes ...
An Asymptotic Analysis For Generation Of Unsteady Surface Waves On Deep Water By Turbulence, Shahrdad Sajjadi
An Asymptotic Analysis For Generation Of Unsteady Surface Waves On Deep Water By Turbulence, Shahrdad Sajjadi
Publications
The detailed mathematical study of the recent paper by Sajjadi, Hunt and Drullion (2014) is presented. The mathematical developement considered by them, for unsteady growing monochromatic waves is also extended to Stokes waves. The present contribution also demonstrates agreement with the pioneering work of Belcher and Hunt (1993) which is valid in the limit of the complex part of the wave phase speed c_{i }↓ 0. It is further shown that the energytransfer parameter and the surface shear stress for a Stokes wave reverts to a monochromatic wave when the second harmonic is excluded. Furthermore, the present theory can be ...
Stability Of Solitary And Cnoidal Traveling Wave Solutions For A Fifth Order KortewegDe Vries Equation, Ronald Adams, Stefan C. Mancas
Stability Of Solitary And Cnoidal Traveling Wave Solutions For A Fifth Order KortewegDe Vries Equation, Ronald Adams, Stefan C. Mancas
Publications
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave solutions (cnoidal waves) for a Kortewegde Vries (KdV) equation which includes a fifth order dispersive term. The traveling wave solutions which yield solitons for zero boundary conditions and wavetrains of cnoidal waves for nonzero boundary conditions are analyzed using stability theorems, which rely on the positivity properties of the Fourier transforms. We show that all families of solutions considered here are (orbitally) stable.