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Mathematics: Recent submissions
Now showing items 401-420 of 462
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Shearing Flows in Liquid Crystal Models
(University of Kansas, 2012-05-31)The liquid crystal phase is a phase of matter between the solid and liquid phase whose flow is characterized by a velocity field and a director field which describes locally the orientation of the liquid crystal. In this ... -
Normal form approach for dispersive equations with low-regularity data
(University of Kansas, 2012-01-01)In this dissertation, we examine applications of the normal form technique to nonlinear dispersive equations with rough initial data. Working within the framework of Bourgain spaces, the normal form method often produces ... -
Anisotropic Mesh Adaptation for the Finite Element Solution of Anisotropic Diffusion Problems
(University of Kansas, 2011-12-31)Anisotropic diffusion problems arise in many fields of science and engineering and are modeled by partial differential equations (PDEs) or represented in variational formulations. Standard numerical schemes can produce ... -
A Representation of Projective Space by the Points of a Line
(University of Kansas, 1911-05) -
Collineations in Space of Four Dimensions
(University of Kansas, 1910) -
A Review of Jacobi’s Theoriae Functionum Ellipticarum
(University of Kansas, 1912) -
The History of the Teaching of Arithmetic in the United States Prior to 1860
(University of Kansas, 1912-06) -
Foundations of Arithmetic
(University of Kansas, 1910) -
An Analytical Determination of Certain Line Groups in the Plane
(University of Kansas, 1907) -
Certain Continuous Groups of Projective Transformations Treated Analytically
(University of Kansas, 1907) -
Continuous Groups of Projective Transformations in Two Dimensions
(University of Kansas, 1904) -
On Some Physical Applications of Hamilton’s Operator
(University of Kansas, 1902) -
Enumerative and Algebraic Aspects of Slope Varieties
(University of Kansas, 2011-05-18)The slope variety of a graph G is an algebraic variety whose points correspond to the slopes arising from point-line configurations of G. We start by reviewing the background material necessary to understand the theory of ... -
PROPERTIES OF H-SETS, KATETOV SPACES AND H-CLOSED EXTENSIONS WITH COUNTABLE REMAINDER
(University of Kansas, 2011-04-25)In this work we obtain results related to H-sets, Katetov spaces and H-closed extensions with countable remainder. As we shall see, these three areas are closely related but the results of each section carry their own ... -
Malliavin calculus for backward stochastic differential equations and stochastic differential equations driven by fractional Brownian motion and numerical schemes
(University of Kansas, 2011-04-18)In this dissertation, I investigate two types of stochastic differential equations driven by fractional Brownian motion and backward stochastic differential equations. Malliavin calculus is a powerful tool in developing ... -
Identification and Adaptive Control Methods for Some Stochastic Systems
(University of Kansas, 2011-02-21)This dissertation is focused on the identification and adaptive control of some stochastic systems. Initially a survey of some adaptive control problems for both discrete and continuous time stochastic systems is provided. ... -
Long time behavior and stability of special solutions of nonlinear partial differential equations.
(University of Kansas, 2011-04-21)In this dissertation, in the first part, I study the long-time behavior of the solutions of the Kuramoto-Sivashinsky equation and the Burgers-Sivashinsky equation. First, I work on a two-dimensional modified KS equation ... -
Shor's Algorithm and Grover's Algorithm in Quantum Computing
(University of Kansas, 2011-04-25)In this paper we will analyse two quantum algorithms that sparked interest in the potential of quantum computers. The first is Lov Grover's algorithm which may be used to conduct a type of database search. The second is ... -
Polynomials associated with graph coloring and orientations
(University of Kansas, 2011-04-26)We study colorings and orientations of graphs in two related contexts. Firstly, we generalize Stanley's chromatic symmetric function using the k-balanced colorings of Pretzel to create a new graph invariant. We show that ... -
NEW ESTIMATES IN HARMONIC ANALYSIS FOR MIXED LEBESGUE SPACES
(University of Kansas, 2010-07-16)Mixed Lebesgue spaces are a generalization of Lp spaces that occur naturally when considering functions that depend on quantities with different properties, such as space and time. We first present mixed Lebesgue versions ...