Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws

Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws
Author :
Publisher : American Mathematical Soc.
Total Pages : 135
Release :
ISBN-10 : 9780821805459
ISBN-13 : 0821805452
Rating : 4/5 (452 Downloads)

Book Synopsis Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws by : Tai-Ping Liu

Download or read book Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws written by Tai-Ping Liu and published by American Mathematical Soc.. This book was released on 1997 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are interested in the time-asymptotic behavior of solutions to viscous conservation laws. Through the pointwise estimates for the Green's function of the linearized system and the analysis of coupling of nonlinear diffusion waves, we obtain explicit expressions of the time-asymptotic behavior of the solutions. This yields optimal estimates in the integral norms. For most physical models, the viscosity matrix is not positive definite and the system is hyperbolic-parabolic, and not uniformly parabolic. This implies that the Green's function may contain Dirac [lowercase Greek]Delta-functions. When the corresponding inviscid system is non-strictly hyperbolic, the time-asymptotic state contains generalized Burgers solutions. These are illustrated by applying our general theory to the compressible Navier-Stokes equations and the equations of magnetohydrodynamics.


Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws Related Books

Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws
Language: en
Pages: 135
Authors: Tai-Ping Liu
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

GET EBOOK

We are interested in the time-asymptotic behavior of solutions to viscous conservation laws. Through the pointwise estimates for the Green's function of the lin
Large Time Behavior of Solutions for General Quasilinear Hyperbolic-parabolic Systems of Conservation Laws
Language: en
Pages: 120
Authors: Tai-Ping Liu
Categories: Conservation laws
Type: BOOK - Published: 1997 - Publisher:

GET EBOOK

Nonlinear Problems of Elasticity
Language: en
Pages: 845
Authors: Stuart Antman
Categories: Mathematics
Type: BOOK - Published: 2005-11-24 - Publisher: Springer Science & Business Media

GET EBOOK

Enlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear materia
Hyperbolic Conservation Laws in Continuum Physics
Language: en
Pages: 636
Authors: Constantine M. Dafermos
Categories: Mathematics
Type: BOOK - Published: 2006-01-16 - Publisher: Springer Science & Business Media

GET EBOOK

This is a lucid and authoritative exposition of the mathematical theory of hyperbolic system laws. The second edition contains a new chapter recounting exciting
Vanishing Viscosity Method
Language: en
Pages: 716
Authors: Boling Guo
Categories: Mathematics
Type: BOOK - Published: 2016-12-05 - Publisher: Walter de Gruyter GmbH & Co KG

GET EBOOK

The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipat