Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws / Tai-Ping Liu, Yanni Zeng.

Format:

Book

Author/Creator:

Liu, Tai-Ping, 1945- author.

Zeng, Yanni, 1955- author.

Series:

Memoirs of the American Mathematical Society ; Volume 65, Number 361.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 65, Number 361

Language:

English

Subjects (All):

Shock waves.

Conservation laws (Mathematics).

Differential equations, Parabolic--Numerical solutions.

Differential equations, Parabolic.

Differential equations, Hyperbolic--Numerical solutions.

Differential equations, Hyperbolic.

Physical Description:

1 online resource (135 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1997.

Language Note:

English

Summary:

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-parablic. 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.

Contents:

""Contents""; ""Abstract""; ""1. Introduction""; ""2. Viscous Conservation Laws""; ""3. Diffusion Waves""; ""4. Systems with Diagonalizable Linearizations""; ""5. Green's Function for a 2 x 2 Linear System""; ""6. Green's Functions for n x n Systems with Applications""; ""6.1. Green's Functions""; ""6.2. Applications""; ""7. Energy Estimate""; ""8. Systems with Non-Diagonalizable Linearizations""; ""9. Applications to Continuum Mechanics""; ""References""

Notes:

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

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0184-3