Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws
Share this pageTai-Ping Liu; Yanni Zeng
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.
Table of Contents
Table of Contents
Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws
- Contents vii8 free
- Abstract viii9 free
- 1. Introduction 110 free
- 2. Viscous Conservation Laws 716 free
- 3. Diffusion Waves 1625
- 4. Systems with Diagonalizable Linearizations 3544
- 5. Green's Function for a 2 x 2 Linear System 4453
- 6. Green's Functions for n x n Systems with Applications 5968
- 7. Energy Estimate 8796
- 8. Systems with Non-Diagonalizable Linearizations 93102
- 9. Applications to Continuum Mechanics 111120
- References 119128