Mathematics: Recent submissions
Now showing items 2140 of 462

Enumerating Parking Completions Using Join and Split
(Electronic Journal of Combinatorics, 20200612)Given a strictly increasing sequence t with entries from [n] := {1, . . . , n}, a parking completion is a sequence c with t + c = n and {t ∈ t  t 6 i} + {c ∈ c  c 6 i} > i for all i in [n]. We can think of t as ... 
Optimal Energy Decay for the Damped KleinGordon Equation
(University of Kansas, 20190831)In this dissertation we study the long time dynamics of damped KleinGordon and damped fractional KleinGordon equations using $C_0$ Semigroup theory and its application. The $C_0$semigroups are used to solve a large ... 
Sharp time asymptotics for the quasigeostrophic equation, the Boussinesq system and near plane waves of reactiondiffusion models
(University of Kansas, 2019531)Through this dissertation we present the sharp time decay rates for three equations, namely quasigeostrophic equation (SQG), Boussinesq system (BSQ) and plane wave of general reactiondiffusion models. In addition, in ... 
Interval parking functions
(Elsevier, 20201116)Interval parking functions (IPFs) are a generalization of ordinary parking functions in which each car is willing to park only in a fixed interval of spaces. Each interval parking function can be expressed as a pair (a, ... 
A canonical form for the differential equations of curves in ndimensional space
(University of Kansas, 19300531) 
The characterizations of a class of transformations and of a class of differentiable functions
(University of Kansas, 19510531) 
Normal determinants and expansions in modified sequences
(University of Kansas, 19520531) 
Asymptoticlp Banach Spaces and the Property of Lebesgue
(20200615)The primary contribution of this work is to nearly characterize the Property of Lebesgue for Banach spaces that behave in a global asymptotic sense like lp. This generalizes a number of individual results that are collected ... 
Efficient Tunnel Detection with Waveform Inversion of Backscattered Surface Waves
(University of Kansas, 20190531)An efficient subsurface imaging method employing backscattered surface waves is developed to detect nearsurface underground elasticwave velocity anomalies, such as tunnels, sinkholes, fractures, faults, and abandoned ... 
An Adaptive Moving Mesh Finite Element Method and Its Application to Mathematical Models from Physical Sciences and Image Processing
(University of Kansas, 20190531)Moving sharp fronts are an important feature of many mathematical models from physical sciences and cause challenges in numerical computation. In order to obtain accurate solutions, a high resolution of mesh is necessary, ... 
Dynamics of Essentially Unstable Nonlinear Waves
(University of Kansas, 20190531)In this thesis we primarily consider the stability of traveling wave solutions to a modified KuramotoSivashinsky Equation equation modeling nanoscale pattern formation and the St. Venant equations modeling shallow water ... 
On the Existence and Stability of Normalized Ground States of the Kawahara, Fourth Order NLS and the Ostrovsky Equations
(University of Kansas, 20190531)In this dissertation we show the existence and stability of the normalized ground states for the Kawahara, fourth order nonlinear Schrödinger (NLS) and the generalized Ostrovsky equations. One of the starting points in our ... 
Surface and bulk moving mesh methods based on equidistribution and alignment
(University of Kansas, 20190531)In this dissertation, we first present a new functional for variational mesh generation and adaptation that is formulated by combining the equidistribution and alignment conditions into a single condition with only one ... 
Matroid Independence Polytopes and Their Ehrhart Theory
(University of Kansas, 20190531)A \emph{matroid} is a combinatorial structure that provides an abstract and flexible model for dependence relations between elements of a set. One way of studying matroids is via geometry: one associates a polytope to a ... 
PLANETARY ORBITS IN CONSTANT CURVATURE PLANES
(University of Kansas, 20191109)A law of gravitation is defined and justified for constant curvature planes and it is demonstrated that Kepler’s three laws of planetary motion have natural analogs in this new context. 
MASS IN HYPERBOLIC 3SPACE
(University of Kansas, 20190113)Contents: 1. A hyperbolic Theorem of Pappus. 2. A hyperbolic version of Newton’s Theorem that the center of gravity and the center of mass of the uniform sphere are identical. 3. A hyperbolic version of the ... 
MASS IN THE HYPERBOLIC PLANE
(University of Kansas, 20190217)Archimedes computed the center of mass of several regions and bodies [Dijksterhuis], and this fundamental physical notion may very well be due to him. He based his investigations of this concept on the notion of moment ... 
MASS IN HYPERBOLIC GEOMETRY
(University of Kansas, 20080313)Archimedes computed the center of mass of several regions and solid bodies [Dijksterhuis], and this fundamental physical notion may very well be due to him. He based his investigations of this concept on the notion of ... 
HYPERBOLIC CENTROIDS OF SOME REGIONS
(University of Kansas, 20060117)Explicit expressions for the centroids of hyperbolic pie shapes and isosce les triangles are found and compared to their Euclidean analogs. 
Large Deviations for Stochastic Heat Equation with Rough Dependence in Space
(Bernoulli Society, 20170727)In this paper we establish a large deviation principle for the nonlinear one dimensional stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance of a fractional Brownian ...