Nonlinear Wave Equations Perturbed by Viscous Terms

✍ Scribed by Petr P. Mosolov; Viktor P. Maslov; Maria A. Shishkova

• Publisher: De Gruyter
• Year: 2000
• Tongue: English
• Leaves: 340
• Series: De Gruyter Expositions in Mathematics; 31
• Category: Library

✦ Table of Contents

Preface to the English Translation
Preface
Introduction
Chapter 1. The Cauchy problem for an infinite one-dimensional system of particles with nonlinear viscoelastic ties
Chapter 2. Main estimates for the solution of the discrete problem
Chapter 3. Interpolation of grid functions
Chapter 4. Existence, uniqueness, and smoothness theorems for the solution of the Cauchy problem for a partial differential equation that is the limit equation for a nonlinear viscoelastic system
Chapter 5. Estimates for differences between solutions of the Cauchy problem for the basic equation (4.17)
Chapter 6. The Cauchy problem for an equation in general form
Chapter 7. The Cauchy problem for a second-order hyperbolic equation with small third-order viscous terms
Chapter 8. Solvability of the Cauchy problem
Chapter 9. Solvability of the Cauchy problem for a system of equations
Chapter 10. Solution behavior in the case of vanishing viscosity
Chapter 11. Acoustic approximation
Chapter 12. Asymptotics of a shock wave in a barotropic medium
References
Appendix
Subject index