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Nonlinear wave equations perturbed by viscous terms

Author: Viktor Pavlovič Maslov; Petr Petrovič Mosolov; M A Shishkova
Publisher: Berlin : De Gruyter, 2000.
Series: De Gruyter expositions in mathematics, 31.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This text deals with mathematical statements of a wide class of problems studied in mechanics. In particular, equations of one-dimensional barotropic gas, the Cauchy problem, hyperbolic equations,  Read more...

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Document Type: Book
All Authors / Contributors: Viktor Pavlovič Maslov; Petr Petrovič Mosolov; M A Shishkova
ISBN: 3110152827 9783110152821
OCLC Number: 247064562
Description: x, 329 Seiten : Diagramme ; 24 cm.
Contents: The Cauchy problem for an infinite one-dimensional system of particles with nonlinear viscoelastic ties; main estimates for the solution of the discrete problem; interpolation of grid functions; 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; estimates for differences between solutions of the Cauchy problem for the basic equation (4.17); the Cauchy problem for an equation in general form; the Cauchy problem for a second-order hyperbolic equation with small third-order viscous terms; solvability of the Cauchy problem; solvability of the Cauchy problem for a system of equations; solution behavior in the case of vanishing viscosity; acoustic approximation; asymptotics of a shock wave in a barotropic medium.
Series Title: De Gruyter expositions in mathematics, 31.
Other Titles: Uravnenija odnomernogo barotropnogo gaza .
Responsibility: by Viktor P. Maslov ; Petr P. Mosolov. Transl. from Russian by M.A. Shishkova.

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