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Global and Blow-Up Solutions for Nonlinear Degenerate Parabolic Systems with Crosswise-Diffusion

✍ Scribed by Zhi-wen Duan; Li Zhou

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
124 KB
Volume
244
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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## Abstract In this paper the degenerate parabolic system __u__~__t__~=__u__(__u__~__xx__~+__av__). __vt__=__v__(__v__~__xx__~+__bu__) with Dirichlet boundary condition is studied. For $a. b {<} \lambda\_{1} (\sqrt {ab} {<} \lambda\_{1} {\rm if}\, \alpha\_{1} {\neq} \alpha\_{2})$, the global existe

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## Abstract In this paper we investigate the global existence and finite time blow‐up of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions. Here βˆ‚__j__ denote the sub‐differential of __j__. Under suitable assumptions on __g__(Β·), __j__(Β·) an