Global Existence for a Parabolic Chemotaxis Model with Prevention of Overcrowding
β Scribed by T. Hillen; K. Painter
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 522 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0196-8858
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## Abstract This paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a twoβsided fashion, including an extra nonlinearity represented by a __p__βLaplacian diffusion term. To prove the existenc
We establish local existence and comparison for a model problem which incorporates the effects of non-linear diffusion, convection and reaction. The reaction term to be considered contains a non-local dependence, and we show that local solutions can be obtained via monotone limits of solutions to ap