Shock waves in conservation laws with physical viscosity
We study the perturbation of a shock wave in conservation laws with physical viscosity. We obtain the detailed pointwise estimates of the solutions. In particular, we show that the solution converges to a translated shock profile. The strength of the perturbation and that of the shock are assumed to...
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| Hlavní autoři: | , |
|---|---|
| Médium: | E-kniha Kniha |
| Jazyk: | angličtina |
| Vydáno: |
Providence, Rhode Island
American Mathematical Society
2015
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| Vydání: | 1 |
| Edice: | Memoirs of the American Mathematical Society |
| Témata: | |
| ISBN: | 9781470410162, 1470410168 |
| ISSN: | 0065-9266, 1947-6221 |
| On-line přístup: | Získat plný text |
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Obsah:
- Introduction -- Preliminaries -- Green’s functions for Systems with Constant Coefficients -- Green’s Function for Systems Linearized Along Shock Profiles -- Estimates on Green’s Function -- Estimates on Crossing of Initial Layer -- Estimates on Truncation Error -- Energy Type Estimates -- Wave Interaction -- Stability Analysis -- Application to Magnetohydrodynamics
- Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Green's functions for Systems with Constant Coefficients -- Chapter 4. Green's Function for Systems Linearized Along Shock Profiles -- Chapter 5. Estimates on Green's Function -- Chapter 6. Estimates on Crossing of Initial Layer -- Chapter 7. Estimates on Truncation Error -- Chapter 8. Energy Type Estimates -- Chapter 9. Wave Interaction -- Chapter 10. Stability Analysis -- Chapter 11. Application to Magnetohydrodynamics -- References -- Back Cover