Nonlinear Wave Equations Perturbed by Viscous Terms / / Petr P. Mosolov, Viktor P. Maslov.

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Bibliographic Details
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
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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