Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Numerical Analysis and Computation (13)
- Partial Differential Equations (12)
- Physics (12)
- Chemical Engineering (11)
- Engineering (11)
-
- Fluid Dynamics (8)
- Applied Mechanics (7)
- Materials Science and Engineering (7)
- Mechanical Engineering (7)
- Nanoscience and Nanotechnology (7)
- Transport Phenomena (7)
- Chemistry (6)
- Physical Chemistry (6)
- Dynamic Systems (5)
- Mathematics (5)
- Catalysis and Reaction Engineering (4)
- Control Theory (4)
- Life Sciences (3)
- Analysis (2)
- Biotechnology (2)
- Computer Sciences (2)
- Engineering Physics (2)
- Environmental Chemistry (2)
- Optics (2)
- Ordinary Differential Equations and Applied Dynamics (2)
- Organic Chemistry (2)
- Other Applied Mathematics (2)
- Institution
- Keyword
-
- Selected recent publications (5)
- Oscillatory reactions (4)
- Journal articles (2)
- Research articles (2)
- Accounting (1)
-
- Applied economic theory (1)
- Boundary value problems (1)
- Camassa-Holm equation (1)
- Catalytic oxidation (1)
- Chaos theory (1)
- Constant vorticity (1)
- Convergence to equilibrium (1)
- Deterministic chaotic model (1)
- Double auction market (1)
- Eigenvalues (1)
- Eigenvectors (1)
- Electromagnetic cascading (1)
- Equilibrium (1)
- Fed-batch culture (1)
- Fractal price patterns (1)
- Fractional definite integrals；properties；basic theorems；mean value theorem (1)
- Fraetal space；adaptability；scale·invariant；renorm alization groups；mechanical law (1)
- Frequency-domain holography (1)
- Hamiltonian formulation (1)
- Hybrid dynamical system; Continuous culture; Parameters identification; Robustness (1)
- JIMO2009 (1)
- Laser wakefield acceleration (1)
- Lax pair (1)
- Market prices (1)
- Momentum map (1)
- Publication
- Publication Type
Articles 1 - 24 of 24
Full-Text Articles in Non-linear Dynamics
All-Optical Suppression Of Relativistic Self-Focusing Of Laser Beams In Plasmas, Serguei Y. Kalmykov, Sunghwan A. Yi, Gennady Shvets
All-Optical Suppression Of Relativistic Self-Focusing Of Laser Beams In Plasmas, Serguei Y. Kalmykov, Sunghwan A. Yi, Gennady Shvets
Serge Youri Kalmykov
It is demonstrated that a catastrophic relativistic self-focusing (RSF) of a high-power laser pulse can be prevented all-optically by a second, much weaker, copropagating pulse. RSF suppression occurs when the difference frequency of the pulses slightly exceeds the electron plasma frequency. The mutual defocusing is caused by the three-dimensional electron density perturbation driven by the laser beat wave slightly above the plasma resonance. A bi-envelope model describing the early stage of the mutual defocusing is derived and analyzed. Later stages, characterized by the presence of a strong electromagnetic cascade, are investigated numerically. Stable propagation of the laser pulse with weakly …
Oscillating Regime In Carbonylation Reaction Of Propargyl Alcohol (In Russian), Sergey N. Gorodsky, Anatoly V. Kurdiukov, Oleg N. Temkin
Oscillating Regime In Carbonylation Reaction Of Propargyl Alcohol (In Russian), Sergey N. Gorodsky, Anatoly V. Kurdiukov, Oleg N. Temkin
Sergey N. Gorodsky
No abstract provided.
Oxidative Carbonylation Of Dimethyl Ethinyl Carbinol In Oscillation Mode (In Russian), Sergey N. Gorodsky, Anatoly V. Kurdiukov
Oxidative Carbonylation Of Dimethyl Ethinyl Carbinol In Oscillation Mode (In Russian), Sergey N. Gorodsky, Anatoly V. Kurdiukov
Sergey N. Gorodsky
No abstract provided.
Studies Of Laser Wakefield Structures And Electron Acceleration In Underdense Plasmas, Anatoly Maksimchuk, Steven A. Reed, Stepan S. Bulanov, Vladimir Chvykov, Galina Kalintchenko, Takeshi Matsuoka, Christopher Mcguffey, Gerard Mourou, Natalia Naumova, John Nees, Pascal Rousseau, Victor Yanovsky, Karl Krushelnick, Nicholas H. Matlis, Serguei Y. Kalmykov, Gennady Shvets, Michael C. Downer, C. R. Vane, J. R. Beene, Daniel W. Stracener, David R. Schultz
Studies Of Laser Wakefield Structures And Electron Acceleration In Underdense Plasmas, Anatoly Maksimchuk, Steven A. Reed, Stepan S. Bulanov, Vladimir Chvykov, Galina Kalintchenko, Takeshi Matsuoka, Christopher Mcguffey, Gerard Mourou, Natalia Naumova, John Nees, Pascal Rousseau, Victor Yanovsky, Karl Krushelnick, Nicholas H. Matlis, Serguei Y. Kalmykov, Gennady Shvets, Michael C. Downer, C. R. Vane, J. R. Beene, Daniel W. Stracener, David R. Schultz
Serge Youri Kalmykov
Experiments on electron acceleration and optical diagnostics of laser wakes were performed on the HERCULES facility in a wide range of laser and plasma parameters. Using frequency domain holography we demonstrated single shot visualization of individual plasma waves, produced by 40 TW, 30 fs laser pulses focused to the intensity of 10^{19} W/cm^2 onto a supersonic He gas jet with plasma densities n_e ~ 10^{19} cm^{−3}. These holographic “snapshots” capture the variation in shape of the plasma wave with distance behind the driver, and resolve wave front curvature seen previously only in simulations. High-energy quasimonoenergetic electron beams were generated using …
Enhanced Stability Of A Dewetting Thin Liquid Film In A Single-Frequency Vibration Field, Sergey Shklyaev, Mikhail Khenner, Alexei Alabuzhev
Enhanced Stability Of A Dewetting Thin Liquid Film In A Single-Frequency Vibration Field, Sergey Shklyaev, Mikhail Khenner, Alexei Alabuzhev
Mathematics Faculty Publications
Dynamics of a thin dewetting liquid film on a vertically oscillating substrate is considered. We assume moderate vibration frequency and large (compared to the mean film thickness) vibration amplitude. Using the lubrication approximation and the averaging method, we formulate the coupled sets of equations governing the pulsatile and the averaged fluid flows in the film, and then derive the nonlinear amplitude equation for the averaged film thickness. We show that there exists a window in the frequency-amplitude domain where the parametric and shear-flow instabilities of the pulsatile flow do not emerge. As a consequence, in this window the averaged description …
Enhanced Stability Of A Dewetting Thin Liquid Film In A Single-Frequency Vibration Field, Mikhail Khenner
Enhanced Stability Of A Dewetting Thin Liquid Film In A Single-Frequency Vibration Field, Mikhail Khenner
Mathematics Faculty Publications
Dynamics of a thin dewetting liquid film on a vertically oscillating substrate is considered. We assume moderate vibration frequency and large (compared to the mean film thickness) vibration amplitude. Using the lubrication approximation and the averaging method, we formulate the coupled sets of equations governing the pulsatile and the averaged fluid flows in the film, and then derive the nonlinear amplitude equation for the averaged film thickness. We show that there exists a window in the frequency-amplitude domain where the parametric and shear-flow instabilities of the pulsatile flow do not emerge. As a consequence, in this window the averaged description …
Morphologies And Kinetics Of A Dewetting Ultrathin Solid Film, Mikhail Khenner
Morphologies And Kinetics Of A Dewetting Ultrathin Solid Film, Mikhail Khenner
Mathematics Faculty Publications
The surface evolution model based on geometric partial differential equation is used to numerically study the kinetics of dewetting and dynamic morphologies for the localized pinhole defect in the surface of the ultrathin solid film with the strongly anisotropic surface energy. Depending on parameters such as the initial depth and width of the pinole, the strength of the attractive substrate potential and the strength of the surface energy anisotropy, the pinhole may either extend to the substrate and thus rupture the film, or evolve to the quasiequilibrium shape while the rest of the film surface undergoes phase separation into a …
Enhanced Stability Of A Dewetting Thin Liquid Film In A Single-Frequency Vibration Field, Sergey Shklyaev, Mikhail Khenner, Alexei Alabuzhev
Enhanced Stability Of A Dewetting Thin Liquid Film In A Single-Frequency Vibration Field, Sergey Shklyaev, Mikhail Khenner, Alexei Alabuzhev
Mathematics Faculty Publications
Dynamics of a thin dewetting liquid film on a vertically oscillating substrate is considered. We assume moderate vibration frequency and large (compared to the mean film thickness) vibration amplitude. Using the lubrication approximation and the averaging method, we formulate the coupled sets of equations governing the pulsatile and the averaged fluid flows in the film, and then derive the nonlinear amplitude equation for the averaged film thickness. We show that there exists a window in the frequency-amplitude domain where the parametric and shear-flow instabilities of the pulsatile flow do not emerge. As a consequence, in this window the averaged description …
Morphologies And Kinetics Of A Dewetting Ultrathin Solid Film, Mikhail Khenner
Morphologies And Kinetics Of A Dewetting Ultrathin Solid Film, Mikhail Khenner
Mathematics Faculty Publications
The surface evolution model based on geometric partial differential equation is used to numerically study the kinetics of dewetting and dynamic morphologies for the localized pinhole defect in the surface of the ultrathin solid film with the strongly anisotropic surface energy. Depending on parameters such as the initial depth and width of the pinole, the strength of the attractive substrate potential and the strength of the surface energy anisotropy, the pinhole may either extend to the substrate and thus rupture the film, or evolve to the quasiequilibrium shape while the rest of the film surface undergoes phase separation into a …
The Adaptability Principle Of Mechanical Law And The Scale-Invariant Principle Of Mechanical Law In Fractal Space, Yang Xiaojun
The Adaptability Principle Of Mechanical Law And The Scale-Invariant Principle Of Mechanical Law In Fractal Space, Yang Xiaojun
Xiao-Jun Yang
The adaptability principle of mechanical law and the scale-invariant principle of mechanical law in fractal space are proved by using parameter-space and scale-space transforms in renormalization groups.From the space-transform angle,the transform of mechanical law from fractal space to European space is the scale-invariant transform while the transform of mechanical law from European space to fractal space is the adaptability transform.Their deductions are that law of conservation of energy and vectorial resultant of force and displacement in fractal space hold the line in form and Carpinteri's dimensional formula of fractal space is also proved. Namely,the spilling dimension of volume in fractal …
Fractional Definite Integral, Yang Xiaojun
Fractional Definite Integral, Yang Xiaojun
Xiao-Jun Yang
Fractional definite integral is that a value of the integral calculus over given interva1．Under the circumstance of fractional dimension，fractional definite integral is important to compute some value in given interva1．It is complied with starting introducing definition，the properties，leads into fractional integral function of definition and the properties，and then induces to basic theorems for fractional integral calculus
Optimal Switching Control For Microbial Fed-Batch Culture, Chongyang Liu, Zhaohua Gong, Enmin Feng, Hongchao Yin
Optimal Switching Control For Microbial Fed-Batch Culture, Chongyang Liu, Zhaohua Gong, Enmin Feng, Hongchao Yin
Chongyang Liu
In fed-batch culture of glycerol bio-dissimilation to 1,3-propanediol (1,3-PD), the aim of adding glycerol is to obtain as much 1,3-PD as possible. Hence, a proper feed strategy is required during the process. In this paper, we present an optimal switching control model based on our proposed controlled switching system. Some properties of the controlled switching system are obtained. Subsequently, we prove the existence of optimal control. In order to deduce the optimality conditions, we transcribe the optimal switching control model into an equivalent one with fixed switching instants and parameters. Finally, the optimality conditions of the equivalent problem are investigated …
Identification Of Intracellular Kinetic Parameters In Continuous Bioconversion Of Glycerol By Klebsiella Pneumoniae, Enmin Feng, Chongyang Liu, Zhaohua Gong, Yaqin Sun
Identification Of Intracellular Kinetic Parameters In Continuous Bioconversion Of Glycerol By Klebsiella Pneumoniae, Enmin Feng, Chongyang Liu, Zhaohua Gong, Yaqin Sun
Chongyang Liu
In this paper, we propose a hybrid nonlinear dynamical system to describe the concentration changes of extracellular and intracellular substances of glycerol bioconversion to 1,3- propanedol (1,3-PD) in microbial continuous cultures. It is proved that the solution to the system exists and is continuous with respect to kinetic parameters. Subsequently, a novel quantitative definition of biological robustness is investigated. We present a performance index based on experiment data of extracellular concentrations and biological robustness. Taking the proposed hybrid nonlinear dynamical system as a constraint, we establish an identification model to determine the most reasonable metabolic pathway and optimal kinetic parameters. …
Malonic Acid Concentration As A Control Parameter In The Kinetic Analysis Of The Belousov–Zhabotinsky Reaction Under Batch Conditions, Zeljko D. Cupic
Malonic Acid Concentration As A Control Parameter In The Kinetic Analysis Of The Belousov–Zhabotinsky Reaction Under Batch Conditions, Zeljko D. Cupic
Zeljko D Cupic
No abstract provided.
Stoichiometric Network Analysis And Associated Dimensionless Kinetic Equations. Application To A Model Of The Bray-Liebhafsky Reaction, Zeljko D. Cupic
Stoichiometric Network Analysis And Associated Dimensionless Kinetic Equations. Application To A Model Of The Bray-Liebhafsky Reaction, Zeljko D. Cupic
Zeljko D Cupic
No abstract provided.
The Chaotic Sequences In The Bray–Liebhafsky Reaction In An Open Reactor, Zeljko D. Cupic
The Chaotic Sequences In The Bray–Liebhafsky Reaction In An Open Reactor, Zeljko D. Cupic
Zeljko D Cupic
No abstract provided.
Experimentally Observable Transitions Between Dynamical States In Complex Reaction Systems, Zeljko D. Cupic
Experimentally Observable Transitions Between Dynamical States In Complex Reaction Systems, Zeljko D. Cupic
Zeljko D Cupic
No abstract provided.
Morphologies And Kinetics Of A Dewetting Ultrathin Solid Film, Mikhail Khenner
Morphologies And Kinetics Of A Dewetting Ultrathin Solid Film, Mikhail Khenner
Mikhail Khenner
The surface evolution model based on geometric partial differential equation is used to numerically study the kinetics of dewetting and dynamic morphologies for the localized pinhole defect in the surface of the ultrathin solid film with the strongly anisotropic surface energy. Depending on parameters such as the initial depth and width of the pinole, the strength of the attractive substrate potential and the strength of the surface energy anisotropy, the pinhole may either extend to the substrate and thus rupture the film, or evolve to the quasiequilibrium shape while the rest of the film surface undergoes phase separation into a …
Enhanced Stability Of A Dewetting Thin Liquid Film In A Single-Frequency Vibration Field, Sergey Shklyaev, Mikhail Khenner, Alexei Alabuzhev
Enhanced Stability Of A Dewetting Thin Liquid Film In A Single-Frequency Vibration Field, Sergey Shklyaev, Mikhail Khenner, Alexei Alabuzhev
Mikhail Khenner
Dynamics of a thin dewetting liquid film on a vertically oscillating substrate is considered. We assume moderate vibration frequency and large (compared to the mean film thickness) vibration amplitude. Using the lubrication approximation and the averaging method, we formulate the coupled sets of equations governing the pulsatile and the averaged fluid flows in the film, and then derive the nonlinear amplitude equation for the averaged film thickness. We show that there exists a window in the frequency-amplitude domain where the parametric and shear-flow instabilities of the pulsatile flow do not emerge. As a consequence, in this window the averaged description …
On The Spectra Of Certain Directed Paths, Carlos Martins Da Fonseca, J. J. P. Veerman
On The Spectra Of Certain Directed Paths, Carlos Martins Da Fonseca, J. J. P. Veerman
Mathematics and Statistics Faculty Publications and Presentations
We describe the eigenpairs of special kinds of tridiagonal matrices related to problems on traffic on a one-lane road. Some numerical examples are provided.
On An Integrable Two-Component Camassa-Holm Shallow Water System, Adrian Constantin, Rossen Ivanov
On An Integrable Two-Component Camassa-Holm Shallow Water System, Adrian Constantin, Rossen Ivanov
Articles
The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation with interesting properties and applications. In this letter we deal with such a twocomponent integrable system of coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global solutions, for some initial data wave breaking occurs. We also discuss the solitary wave solutions. Finally, we present an explicit construction for the peakon solutions in the short wave limit of system.
Algebraic Discretization Of The Camassa-Holm And Hunter-Saxton Equations, Rossen Ivanov
Algebraic Discretization Of The Camassa-Holm And Hunter-Saxton Equations, Rossen Ivanov
Articles
The Camassa-Holm (CH) and Hunter-Saxton (HS) equations have an interpretation as geodesic flow equations on the group of diffeomorphisms, preserving the H1 and H.1 right-invariant metrics correspondingly. There is an analogy to the Euler equations in hydrodynamics, which describe geodesic flow for a right-invariant metric on the infinitedimensional group of diffeomorphisms preserving the volume element of the domain of fluid flow and to the Euler equations of rigid body whith a fixed point, describing geodesics for a left-invariant metric on SO(3). The CH and HS equations are integrable bi-hamiltonian equations and one of their Hamiltonian structures is associated to the …
Nearly-Hamiltonian Structure For Water Waves With Constant Vorticity, Adrian Constantin, Rossen Ivanov, Emil Prodanov
Nearly-Hamiltonian Structure For Water Waves With Constant Vorticity, Adrian Constantin, Rossen Ivanov, Emil Prodanov
Articles
We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves.
Convergence To Equilibrium In Experimental Markets, Carolyn A. Galantine Cpa., Phd, Charles W. Swenson
Convergence To Equilibrium In Experimental Markets, Carolyn A. Galantine Cpa., Phd, Charles W. Swenson
Carolyn A Galantine CPA., PhD
The process by which market prices achieve equilibrium is an important topic, as the price formation process is fundamental to applied economic theory. Recently, economists have been applying complex mathematical functions to study the course of market prices convergence to equilibrium. Studies have made progress in modeling the price convergence process in at least one type of experimental market setting, the double auction. The double auction is of interest not only because of its prevalence in many types of real-world markets (e.g., the New York Stock Exchange), but also because of its extensive use in experimental economics. The double auction …