C O N T E N T S Abstract viii 1. Introduction 1 2. Viscous Conservation Laws 7 3. Diffusion Waves 16 4. Systems with Diagonalizable Linearizations 35 5. Green's Function for a 2 x 2 Linear System 44 6. Green's Functions for n x n Systems with Applications 59 6.1. Green's Functions 59 6.2. Applications 76 7. Energy Estimate 87 8. Systems with Non-Diagonalizable Linearizations 93 9. Applications to Continuum Mechanics 111 References 119
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