Evolution Of Perturbations In Flow Field Mechanics,
2014
Boston University
Evolution Of Perturbations In Flow Field Mechanics, Samantha R. Bell, David Forliti, Nils Sedano, Kriss Vanderhyde
STAR Program Research Presentations
This project explores the stability analysis of a given flow field. Specifically, where the peak disturbance occurs in a flow as this is the disturbance that is most likely to occur. In rocket combustion, it is important to understand where the maximum disturbance occurs so that the mixing of fuel can be stabilized. The instabilities are the results of frequencies in the area surrounding the flow field. The linear stability governing equations are employed to better understand the disturbance. The governing equations for continuity and momentum in the x and y directions are used to form an equation for the …
Achieving Numerical Reproducibility In The Parallelized Floating Point Dot Product,
2014
College of Saint Benedict/Saint John's University
Achieving Numerical Reproducibility In The Parallelized Floating Point Dot Product, Alyssa Anderson
Honors Theses, 1963-2015
The world depends on computers every day to do accurate real-world mathematics. Computers must store real numbers in a finite representation that approximates real numbers, called floating point representation. However, simply by changing the order in which we add a list of floating point numbers can provide a different result that may even be less accurate than another ordering. This is because floating point addition is not associative. That is, (a + b) + c is not necessarily equal to a + (b + c). Parallel computing techniques introduce the ability to reorder computations, thus producing a difference in results …
Global Existence, Uniform Decay, And Exponential Growth Of Solutions For A System Of Viscoelastic Petrovsky Equations,
2014
TÜBİTAK
Global Existence, Uniform Decay, And Exponential Growth Of Solutions For A System Of Viscoelastic Petrovsky Equations, Faramarz Tahamtani, Amir Peyravi
Turkish Journal of Mathematics
In this paper, we study the initial-boundary value problem for a system of nonlinear viscoelastic Petrovsky equations. Introducing suitable perturbed energy functionals and using the potential well method we prove uniform decay of solution energy under some restrictions on the initial data and the relaxation functions. Moreover, we establish a growth result for certain solutions with positive initial energy.
Scattering Data In An Inverse Scattering Problem On The Semi-Axis For A First-Order Hyperbolic System,
2014
TÜBİTAK
Scattering Data In An Inverse Scattering Problem On The Semi-Axis For A First-Order Hyperbolic System, Mansur Ismailov, İbrahi̇m Teki̇n
Turkish Journal of Mathematics
The inverse scattering problem for the first-order hyperbolic system on the semi-axis in the case of 2 incident and 2 scattered waves under consideration of 2 problems with the same given incident waves and different boundary conditions is considered. The scattering data on the semi-axis are given in terms of the scattering operator on the whole axis for the same system with the coefficients, which are extended in the whole axis by zero.
Kernel Operators On The Upper Half-Space: Boundedness And Compactness Criteria,
2014
TÜBİTAK
Kernel Operators On The Upper Half-Space: Boundedness And Compactness Criteria, Usman Ashraf, Muhammad Asif, Alexander Meskhi
Turkish Journal of Mathematics
We establish necessary and sufficient conditions on a weight v governing the trace inequality \hat{K}f _{L^q_v(\hat{E})} \leq C f _{L^p(E)}, where E is a cone on a homogeneous group, \hat{E}: = E \times R_+ and \hat{K} is a positive kernel operator defined on \hat{E}. Compactness criteria for this operator are also established.
On Kakutani--Krein And Maeda--Ogasawara Spaces,
2014
TÜBİTAK
On Kakutani--Krein And Maeda--Ogasawara Spaces, Zafer Ercan, Neşet Özkan Tan
Turkish Journal of Mathematics
Let E be an Archimedean Riesz space. It is shown that the Kakutani--Krein space of the center of the Dedekind completion of E and the Maeda--Ogasawara space of E are homeomorphic. By applying this, we can reprove a Banach Stone type theorem for C^{\infty}(S) spaces, where S is a Stonean space.
A Characterization Of Certain Geodesic Hyperspheres In Complex Projective Space,
2014
TÜBİTAK
A Characterization Of Certain Geodesic Hyperspheres In Complex Projective Space, Juan De Dios Perez, Y Oung Jin Suh
Turkish Journal of Mathematics
We characterize geodesic hyperspheres of radius r such that cot^2(r)=\frac{1}{2} as the unique real hypersurfaces in complex projective space whose structure Jacobi operator satisfies a pair of conditions.
Split Strongly Abelian P-Chief Factors And First Degree Restricted Cohomology,
2014
University of South Alabama
Split Strongly Abelian P-Chief Factors And First Degree Restricted Cohomology, Jorg Feldvoss, Salvatore Siciliano, Thomas Weigel
University Faculty and Staff Publications
In this paper we investigate the relation between the multiplicities of split strongly abelian p-chief factors of finite-dimensional restricted Lie algebras and first degree restricted cohomology. As an application we obtain a characterization of solvable restricted Lie algebras in terms of the multiplicities of split strongly abelian p-chief factors. Moreover, we derive some results in the representation theory of restricted Lie algebras related to the principal block and the projective cover of the trivial irreducible module of a finite-dimensional restricted Lie algebra. In particular, we obtain a characterization of finite-dimensional solvable restricted Lie algebras in terms of the second Loewy …
Almost Contact Lagrangian Submanifolds Of Nearly Kaehler 6-Sphere,
2014
University of New Haven
Almost Contact Lagrangian Submanifolds Of Nearly Kaehler 6-Sphere, Ramesh Sharma, Sharief Deshmukh, Falleh Al-Solamy
Mathematics Faculty Publications
For a Lagrangian submanifold M of S 6 with nearly Kaehler structure, we provide conditions for a canonically induced almost contact metric structure on M by a unit vector field, to be Sasakian. Assuming M contact metric, we show that it is Sasakian if and only if the second fundamental form annihilates the Reeb vector field ξ, furthermore, if the Sasakian submanifold M is parallel along ξ, then it is the totally geodesic 3-sphere. We conclude with a condition that reduces the normal canonical almost contact metric structure on M to Sasakian or cosymplectic structure.
Almost Ricci Solitons And K-Contact Geometry,
2014
University of New Haven
Almost Ricci Solitons And K-Contact Geometry, Ramesh Sharma
Mathematics Faculty Publications
We give a short Lie-derivative theoretic proof of the following recent result of Barros et al. “A compact non-trivial almost Ricci soliton with constant scalar curvature is gradient, and isometric to a Euclidean sphere”. Next, we obtain the result: a complete almost Ricci soliton whose metric g is K-contact and flow vector field X is contact, becomes a Ricci soliton with constant scalar curvature. In particular, for X strict, g becomes compact Sasakian Einstein.
Sasakian Metric As A Ricci Soliton And Related Results,
2014
University of New Haven
Sasakian Metric As A Ricci Soliton And Related Results, Ramesh Sharma, Amalendu Ghosh
Mathematics Faculty Publications
We prove the following results: (i) a Sasakian metric as a non-trivial Ricci soliton is null η-Einstein, and expanding. Such a characterization permits us to identify the Sasakian metric on the Heisenberg group H2n+1 as an explicit example of (non-trivial) Ricci soliton of such type. (ii) If an η-Einstein contact metric manifold M has a vector field V leaving the structure tensor and the scalar curvature invariant, then either V is an infinitesimal automorphism, or M is D-homothetically fixed K-contact.
Mathematical Modeling Of Population Genetics,
2014
Southern Adventist University
Mathematical Modeling Of Population Genetics, Haley Baker
Capstone Research Projects
This paper provides modeling of quantitative factors involved with population genetics, specifically the Hardy-Weinberg law and the Fisher-Haldane-Wright equation.
Fractional Generalizations Of Filtering Problems And Their Associated Fractional Zakai Equation,
2014
University of New Haven
Fractional Generalizations Of Filtering Problems And Their Associated Fractional Zakai Equation, Sabir Umarov, Fred Daum, Kenric Nelson
Mathematics Faculty Publications
In this paper we discuss fractional generalizations of the filtering problem. The ”fractional” nature comes from time-changed state or observation processes, basic ingredients of the filtering problem. The mathematical feature of the fractional filtering problem emerges as the Riemann-Liouville or Caputo-Djrbashian fractional derivative in the associated Zakai equation. We discuss fractional generalizations of the nonlinear filtering problem whose state and observation processes are driven by time-changed Brownian motion or/and Lévy process.
Oscillation Criteria For Second-Order Dynamic Equations On Time Scales,
2014
Missouri University of Science and Technology
Oscillation Criteria For Second-Order Dynamic Equations On Time Scales, Ravi P. Agarwal, Martin Bohner, Tongxing Li, Chenghui Zhang
Mathematics and Statistics Faculty Research & Creative Works
Erbe's and Hassan's contributions regarding oscillation criteria are interesting in the development of oscillation theory of dynamic equations on time scales. The objective of this paper is to amend these results. © 2014 Elsevier Ltd. All rights reserved.
Oscillation Of Second-Order P-Laplace Dynamic Equations With A Nonpositive Neutral Coefficient,
2014
Missouri University of Science and Technology
Oscillation Of Second-Order P-Laplace Dynamic Equations With A Nonpositive Neutral Coefficient, Martin Bohner, Tongxing Li
Mathematics and Statistics Faculty Research & Creative Works
We establish some new oscillation criteria for a class of second-order p-Laplace dynamic equations with a nonpositive neutral coefficient on a time scale. The results obtained supplement and improved those reported in the literature. © 2014 Elsevier Ltd. All rights reserved.
Multi-Valued Parabolic Variational Inequalities And Related Variational-Hemivariational Inequalities,
2014
Missouri University of Science and Technology
Multi-Valued Parabolic Variational Inequalities And Related Variational-Hemivariational Inequalities, Siegfried Carl, Vy Khoi Le
Mathematics and Statistics Faculty Research & Creative Works
In this paper we study multi-valued parabolic variational inequalities involving quasilinear parabolic operators, and multi-valued integral terms over the underlying parabolic cylinder as well as over parts of the lateral parabolic boundary, where the multi-valued functions involved are assumed to be upper semicontinuous only. Note, since lower semicontinuous multi-valued functions allow always for a Carathéodory selection, this case can be considered as the trivial case and therefore will be omitted. Our main goal is threefold: First, we provide an analytical framework and an existence theory for the problems under consideration. Unlike in recent publications on multi-valued parabolic variational inequalities, the …
Asymptotic Behavior Of Nonoscillatory Solutions Of Higher-Order Integro-Dynamic Equations,
2014
Missouri University of Science and Technology
Asymptotic Behavior Of Nonoscillatory Solutions Of Higher-Order Integro-Dynamic Equations, Martin Bohner, Said Grace, Nasrin Sultana
Mathematics and Statistics Faculty Research & Creative Works
In this paper, we establish some new criteria on the asymptotic behavior of Non oscillatory solutions of higher-order integro-dynamic equations on time scales. © AGH University of Science and Technology Press, Krakow 2014.
03. Biology,
2014
Southwestern Oklahoma State University
03. Biology, University Of Central Oklahoma
Oklahoma Research Day Abstracts
No abstract provided.
13. Mathematics,
2014
Southwestern Oklahoma State University
13. Mathematics, University Of Central Oklahoma
Oklahoma Research Day Abstracts
No abstract provided.
16. Physics,
2014
Southwestern Oklahoma State University
16. Physics, University Of Central Oklahoma
Oklahoma Research Day Abstracts
No abstract provided.
