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Title: Some problems on planar rarefaction waves for hyperbolic conservation laws
Other Titles: Guan yu shuang qu shou heng lü fang cheng xi shu bo de yi xie wen ti yan jiu
Authors: Chen, Jing (陳靜)
Department: Department of Mathematics
Degree: Doctor of Philosophy
Issue Date: 2009
Publisher: City University of Hong Kong
Subjects: Conservation laws (Mathematics)
Differential equations, Hyperbolic.
Wave equation.
Cauchy problem.
Notes: CityU Call Number: QA377 .C42 2009
iv, 123 leaves 30 cm.
Thesis (Ph.D.)--City University of Hong Kong, 2009.
Includes bibliographical references (leaves [117]-123)
Type: thesis
Abstract: In this thesis, we study the stability of planar rarefaction waves to the Cauchy and the initial boundary value problems for hyperbolic conservation laws. Precisely, we study the following problems: In Chapter 2, we aim to prove the convergence rates of solutions to strong rarefaction waves for two-dimensional viscous conservation law with boundary. In Chapter 3, we study the decay rates of strong planar rarefaction waves to scalar conservation laws with degenerate viscosity. In Chapter 4, we investigate the asymptotic stability of the weak rarefaction wave for Cauchy problem for generalized KdV-Burgers-Kuramoto equation. The analysis is based on a priori estimates and the standard L2-energy method.
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Appears in Collections:MA - Doctor of Philosophy

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