Duan, Ben. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 61-67). / Abstracts in English and Chinese. / Acknowledgments --- p.2 / Abstract --- p.i / Introduction --- p.3 / Chapter 1 --- Stability of Shock Waves in Viscous Conservation Laws --- p.10 / Chapter 1.1 --- Cauchy Problem for Scalar Viscous Conservation Laws and Viscous Shock Profiles --- p.10 / Chapter 1.2 --- Stability of Shock Waves by Energy Method --- p.15 / Chapter 1.3 --- L1 Stability of Shock Waves in Scalar Viscous Con- servation Laws --- p.20 / Chapter 2 --- Slow Motion of a Viscous Shock --- p.29 / Chapter 2.1 --- Propagation of a Viscous Shock in Bounded Domain --- p.29 / Chapter 2.1.1 --- Steady Problem --- p.30 / Chapter 2.1.2 --- Time-Dependent Problem --- p.34 / Chapter 2.1.3 --- Super-Sensitivity of Boundary Conditions --- p.36 / Chapter 2.2 --- Propagation of a Stationary Shock in Half Space --- p.39 / Chapter 2.2.1 --- Asymptotic Analysis --- p.39 / Chapter 2.2.2 --- Pointwise Estimate --- p.40 / Chapter 3 --- Viscous Transonic Flow Through a Nozzle --- p.47 / Chapter 3.1 --- Nonlinear Stability and Instability of Shock Waves --- p.48 / Chapter 3.2 --- Asymptotic Stability and Instability --- p.49 / Chapter 3.3 --- Matched Asymptotic Analysis --- p.53 / Chapter 4 --- C --- p.60 / Bibliography --- p.61
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326056 |
| Date | January 2007 |
| Contributors | Duan, Ben., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, ii, 67 leaves ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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