Nonlinear Wave Equations Perturbed by Viscous Terms / / Petr P. Mosolov, Viktor P. Maslov.
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Superior document: | Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2000 |
Year of Publication: | 2011 |
Edition: | Reprint 2013 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
31 |
Online Access: | |
Physical Description: | 1 online resource (329 p.) |
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Table of Contents:
- Frontmatter
- Preface to the English Translation
- Preface
- Contents
- 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