The existence of global-in-time weak solutions to the Joule problem modelling heating or cooling in a current and heat conductive medium is proved via the Faedo -Galerkin method. The existence proof entails some a priori estimates that together with the monotonicity and compactness methods make up a
Global Solutions in Three Dimensions for Systems Describing a Chemotaxis Phenomenon
β Scribed by A. Boy-Dalverny; M. Madaune-Tort
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 182 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0196-8858
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β¦ Synopsis
We study a parabolic-elliptic system in three dimensions related to chemotaxis. Two results of global existence are proved: one for Neumann boundary conditions and another for Dirichlet boundary conditions.
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