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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1105. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn906580047 | ||
| 003 | OCoLC | ||
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| 020 | |z 1470410168 |q (alkaline paper) | ||
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| 050 | 4 | |a QA377 |b .L5684 2015 | |
| 050 | 4 | |a QA3 |b .Am35 no.1105 | |
| 082 | 0 | 4 | |a 531/.1133 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Liu, Tai-Ping, |d 1945- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJgX8gG3R7hFGkhcK7MgKd | |
| 245 | 1 | 0 | |a Shock waves in conservation laws with physical viscosity / |c Tai-Ping Liu, Yanni Zeng. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2015. | |
| 264 | 4 | |c ©2014 | |
| 300 | |a 1 online resource (v, 168 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 234, number 1105 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 234, number 1105 (fifth of 5 numbers), March 2015." | ||
| 504 | |a Includes bibliographical references (pages 167-168). | ||
| 520 | |a 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 be small, but independent. Our assumptions on the viscosity matrix are general so that our results apply to the Navier-Stokes equations for the compressible fluid and the full system of magnetohydrodynamics, including the cases of multiple eigenvalues in the transversal fields, as long as the shock is classical. Our analysis depends on accurate construction of an approximate Green's function. The form of the ansatz for the perturbation is carefully constructed and is sufficiently tight so that we can close the nonlinear term through the Duhamel's principle. | ||
| 505 | 0 | |a 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. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Conservation laws (Mathematics) | |
| 650 | 0 | |a Shock waves |x Mathematics. | |
| 650 | 0 | |a Green's functions. | |
| 650 | 6 | |a Lois de conservation (Mathématiques) | |
| 650 | 6 | |a Ondes de choc |x Mathématiques. | |
| 650 | 6 | |a Fonctions de Green. | |
| 650 | 7 | |a Conservation laws (Mathematics) |2 fast | |
| 650 | 7 | |a Green's functions |2 fast | |
| 700 | 1 | |a Zeng, Yanni, |d 1955- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjKvRXm4Tbvdfvv8twHW8P | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Shock waves in conservation laws with physical viscosity (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGGPpkwJXcfvvT4Xj6bKh3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Liu, Tai-Ping, 1945- |t Shock Waves in Conservation Laws with Physical Viscosity. |d Providence, Rhode Island : American Mathematical Society, 2015 |z 9781470410162 |w (DLC) 2014041959 |w (OCoLC)893784435 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1105. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114278 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37444913 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL3114278 | ||
| 938 | |a YBP Library Services |b YANK |n 12372055 | ||
| 994 | |a 92 |b IZTAP | ||