Nonlinear wave equations perturbed by the viscous term /
Maslov, V. P.
Nonlinear wave equations perturbed by the viscous term / by Viktor P. Maslov, Petr P. Mosolov ; translated from the Russian by M.A. Shishkova. - Berlin ; New York : Walter de Gruyter, 2000. - 1 online resource (x, 329 pages) : illustrations - De Gruyter expositions in mathematics ; 31 . - 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
9783110811902 (electronic bk.) 3110811901 (electronic bk.) (acid-free paper)
10.1515/9783110811902 doi
Gas dynamics.
Navier-Stokes equations.
Dynamique des gaz.
Équations de Navier-Stokes.
SCIENCE--Mechanics--General.
Gas dynamics.
Navier-Stokes equations.
Electronic books.
Electronic books.
QA930 / .M2913 2000eb
533/.01515353
Nonlinear wave equations perturbed by the viscous term / by Viktor P. Maslov, Petr P. Mosolov ; translated from the Russian by M.A. Shishkova. - Berlin ; New York : Walter de Gruyter, 2000. - 1 online resource (x, 329 pages) : illustrations - De Gruyter expositions in mathematics ; 31 . - 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
9783110811902 (electronic bk.) 3110811901 (electronic bk.) (acid-free paper)
10.1515/9783110811902 doi
Gas dynamics.
Navier-Stokes equations.
Dynamique des gaz.
Équations de Navier-Stokes.
SCIENCE--Mechanics--General.
Gas dynamics.
Navier-Stokes equations.
Electronic books.
Electronic books.
QA930 / .M2913 2000eb
533/.01515353