## Abstract In this article (which is divided in three parts) we investigate the non‐linear initial boundary value problems (1.2) and (1.3). In both cases we consider coupled systems where each system is of higher order and of hyperbolic or parabolic type. __Our goal is to characterize systematica
On some second-order non-linear systems of a hyperbolic-parabolic type
✍ Scribed by Andrzej Chrzȩszczyk
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 362 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Abstract
We consider local solutions to the Cauchy problem for a class of non‐linear hyperbolic‐parabolic systems generalizing the systems of elasticity and thermoelasticity. Our main purpose is to relax the usual regularity requirements to include the nonclassical solutions into considerations.
📜 SIMILAR VOLUMES
## Abstract This is the third part of an article that is devoted to the theory of non‐linear initial boundary value problems. We consider coupled systems where each system is of higher order and of hyperbolic or parabolic type. __Our goal is to characterize systematically all admissible couplings
## Abstract This is the second part of an article that is devoted to the theory of non‐linear initial boundary value problems. We consider coupled systems where each system is of higher order and of hyperbolic or parabolic type. __Our goal is to characterize systematically all admissible couplings
## Abstract A linearized three‐level difference scheme on nonuniform meshes is derived by the method of the reduction of order for the Neumann boundary value problem of a nonlinear parabolic system. It is proved that the difference scheme is uniquely solvable and second‐order convergent in __L__~__