Global solvability of the Cauchy problem for a system of equations in the nonlinear theory of elasticity
type: Item
instance of: scholarly article
title: Global solvability of the Cauchy problem for a system of equations in the nonlinear theory of elasticity
zbMATH Open document ID: 0941.35121
author: V. A. Tupchiev
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-04-05T00:00:00Z
review text: The author considers the Cauchy problem for an isentropic system in the nolinear theory of elasticity in Eulerian coordinates. The goal is to prove a global existence theorem for the functional solution to this problem. The proof of the theorem is based on the viscosity method; however, the present case is special in some important respects. First, the subset of equations for distortion has a nonconservative form. Second, the functional solution can be reduced to a function belonging to the Lebesgue space.
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 35K45
zbMATH DE Number: 1427869
zbMATH Keywords: nonlinearity
zbMATH Keywords: Cauchy problem
zbMATH Keywords: global existence
zbMATH Keywords: viscosity method
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1427869