Del i serien De Gruyter Expositions in Mathematics

Nonlinear Wave Equations Perturbed by Viscous Terms

Inbunden, Engelska, 2000

AvPetr P. Mosolov,Viktor P. Maslov

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Produktinformation

Utgivningsdatum2000-08-04
Mått170 x 240 x 23 mm
Vikt752 g
FormatInbunden
SpråkEngelska
SerieDe Gruyter Expositions in Mathematics
Antal sidor339
Upplaga1
FörlagDe Gruyter
ISBN9783110152821
ÖversättareMaria A. Shishkova

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Naturvetenskap:allmänt inom Naturvetenskap och teknik

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.