Dissipation and discontinuities.
Sun Siu-wing. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. === Includes bibliographical references (leaves 50-51). === Abstracts in English and Chinese. === Acknowledgments --- p.i === Abstract --- p.ii === Chapter 1 --- Introduction --- p.1 === Chapter 2 --- Equation without visc...
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Format: | Others |
Language: | English Chinese |
Published: |
2002
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Online Access: | http://library.cuhk.edu.hk/record=b5891128 http://repository.lib.cuhk.edu.hk/en/item/cuhk-323882 |
Summary: | Sun Siu-wing. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. === Includes bibliographical references (leaves 50-51). === Abstracts in English and Chinese. === Acknowledgments --- p.i === Abstract --- p.ii === Chapter 1 --- Introduction --- p.1 === Chapter 2 --- Equation without viscosity --- p.5 === Chapter 3 --- Equation with standard viscosity --- p.8 === Chapter 3.1 --- "Particular convective flux, f(x) =u2" --- p.8 === Chapter 3.2 --- Convex convective flux --- p.10 === Chapter 4 --- Equation with monotonic dissipative flux --- p.11 === Chapter 4.1 --- Large initial data --- p.12 === Chapter 4.2 --- Small initial data --- p.19 === Chapter 4.3 --- Unbounded dissipative flux --- p.28 === Chapter 5 --- Equation with non-monotonic dissipative flux --- p.31 === Chapter 5.1 --- Large initial data --- p.32 === Chapter 5.2 --- Small initial data --- p.37 === Chapter 6 --- Comparison and conclusions --- p.39 === Appendices --- p.42 === Chapter A --- Hopf-Cole transformation --- p.42 === Chapter B --- Dirichlet problem --- p.45 === Bibliography --- p.50 |
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