Nonlinear wave equations perturbed by the viscous term /
[Book]
by Viktor P. Maslov, Petr P. Mosolov ; translated from the Russian by M.A. Shishkova.
New York :
Walter de Gruyter,
2000.
1 online resource (x, 329 pages :) :
illustrations.
De Gruyter expositions in mathematics ;
31
Includes bibliographical references and index.
""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""
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Nonlinear wave equations perturbed by the viscous term.