Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws
( Memoirs of the American Mathematical Society )
Publication series ：Memoirs of the American Mathematical Society
Author： Tai-Ping Liu
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470401849
P-ISBN(Paperback): 9780821805459
Subject： O411.1 Mathematical Methods of Physics
Keyword： Differential Equations
Language： ENG
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Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws
Description
Physical models of conservation form—such as the compressible Navier-Stokes equations, and MHD and full nonlinear elasticity equations—are not uniformly parabolic, but rather hyperbolic-parabolic. This memoir gives a self-contained analysis of nonlinear interactions of dissipation waves as well as the hyperbolic aspects of general systems. It introduces the new pointwise estimates of Green functions and coupling of nonlinear waves.