Nonlinear wave equations perturbed by the viscous term / by Viktor P. Maslov, Petr P. Mosolov ; translated from the Russian by M.A. Shishkova.
Material type:
TextLanguage: English Original language: Russian Series: De Gruyter expositions in mathematics ; 31.Publication details: Berlin ; New York : Walter de Gruyter, 2000.Description: 1 online resource (x, 329 pages) : illustrationsContent type: - text
- computer
- online resource
- 9783110811902
- 3110811901
- Uravnenii︠a︡ odnomernogo barotropnogo gaza. English
- 533/.01515353 21
- QA930 .M2913 2000eb
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OPJGU Sonepat- Campus | E-Books EBSCO | Available |
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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