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http://hdl.handle.net/2031/5766
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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
關於雙曲守恒律方程稀疏波的一些問題研究 |
| 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. |
| Online Catalog Link: | http://lib.cityu.edu.hk/record=b2375024 |
| Appears in Collections: | MA - Doctor of Philosophy
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