Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Difference scheme for the system of equations of one-dimensional dynamics of a nonlinear thermoviscoelastic body of the Voigt type
-
A.A. Amosov
Veröffentlicht/Copyright:
9. Oktober 2014
Abstract
- We consider the initial boundary value problem for the system of quasilinear differential equations which describe the one-dimensional motion of a thermoviscoelastic body of the Voigt type. We construct a new nonlinear difference scheme for it.We derive the set of global a priori estimates for the solutions of the difference scheme, prove the existence of solutions, and establish the convergence of the difference scheme to a generalized solution of the problem.
In this work we continue the study of the properties of difference schemes for systems of equations of one-dimensional motion of viscous compressible continuous media, which was initiated in [1-3] (see also [4-6]).
Published Online: 2014-10-9
Published in Print: 2002-6-1
© 2014 by Walter de Gruyter Berlin/Boston
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Contents
- Difference scheme for the system of equations of one-dimensional dynamics of a nonlinear thermoviscoelastic body of the Voigt type
- Chaotic attractors of atmospheric models
- Computation of the parametric derivatives of polarized radiation and the solution of inverse atmospheric optics problems
- On upper and lower bounds of the error of the difference solution to the Dirichlet problem for the Laplace equation in a cylinder
Artikel in diesem Heft
- Contents
- Difference scheme for the system of equations of one-dimensional dynamics of a nonlinear thermoviscoelastic body of the Voigt type
- Chaotic attractors of atmospheric models
- Computation of the parametric derivatives of polarized radiation and the solution of inverse atmospheric optics problems
- On upper and lower bounds of the error of the difference solution to the Dirichlet problem for the Laplace equation in a cylinder
