Nonlinear wave equations perturbed by the viscous term / by Viktor P. Maslov, Petr P. Mosolov ; translated from the Russian by M.A. Shishkova.

Format:

Book

Author/Creator:

Maslov, V. P. (Viktor Pavlovich)

Contributor:

Mosolov, Petr Petrovich.

Series:

De Gruyter Expositions in Mathematics

De Gruyter expositions in mathematics ; 31

De Gruyter Expositions in Mathematics , 0938-6572 ; 31

Standardized Title:

Uravnenii͡a odnomernogo barotropnogo gaza. English

Language:

English

Subjects (All):

Gas dynamics.

Navier-Stokes equations.

Physical Description:

1 online resource (339 p.)

Edition:

Reprint 2013

Place of Publication:

Berlin ; New York : Walter de Gruyter, 2000.

Language Note:

English

Summary:

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair , Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann , Columbia University, New York, USA Markus J. Pflaum , University of Colorado, Boulder, USA Dierk Schleicher , Jacobs University, Bremen, Germany Katrin Wendland , University of Freiburg, Germany Honorary Editor Victor P. Maslov , Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups , Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110811902

3110811901

OCLC:

840446229