内容

目次

The Cauchy problem for an infinite one-dimensional system of particleswith nonlinear viscoelastic ties; main estimates for the solution of thediscrete problem; interpolation of grid functions; existence, uniqueness, andsmoothness theorems for the solution of the Cauchy problem for a partialdifferential equation that is the limit equation for a nonlinear viscoelasticsystem; estimates for differences between solutions of the Cauchy problem forthe basic equation (4.17); the Cauchy problem for an equation in generalform; the Cauchy problem for a second-order hyperbolic equation with smallthird-order viscous terms; solvability of the Cauchy problem; solvability ofthe Cauchy problem for a system of equations; solution behavior in the caseof vanishing viscosity; acoustic approximation; asymptotics of a shock wavein a barotropic medium.