Nonlinear Wave Equations Perturbed by Viscous Terms

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Table des matières

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.

Détails du produit

• Auteurs: Viktor P Maslov, Viktor P. Maslov, Petr Mosolov, Petr P Mosolov, Petr P. Mosolov
• Collaboration: Maria A. Shishkova (Traduction)
• Edition: De Gruyter
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 01.01.2000
• EAN: 9783110152821
• ISBN: 978-3-11-015282-1
• Pages: 329
• Dimensions: 170 mm x 27 mm x 240 mm
• Poids: 694 g
• Illustrations: w. figs.
• Thèmes: De Gruyter Expositions in Mathematics; Gruyter Expositions in Mathematics; De Gruyter Expositions in Mathematics; ISSN
• Catégorie: Sciences naturelles, médecine, informatique, technique > Mathématiques > Général, dictionnaires