Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws

Bibliographic Information

Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws

Tai-Ping Liu, Yanni Zeng

(Memoirs of the American Mathematical Society, no. 599)

American Mathematical Society, 1997

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Note

"January 1997, volume 125, number 599 (end of volume)" -- T.p.

Includes bibliographical references (p. 119-120)

Description and Table of Contents

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.

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