We obtain a priori estimates for the classical chemotaxis model of Patlak, Keller and Segel when a nonlinear diffusion or a nonlinear chemosensitivity is considered accounting for the finite size of the cells. We will show how entropy estimates give natural conditions on the nonlinearities implying
✦ LIBER ✦
CROSS DIFFUSION AND NONLINEAR DIFFUSION PREVENTING BLOW UP IN THE KELLER–SEGEL MODEL
✍ Scribed by CARRILLO, JOSÉ ANTONIO; HITTMEIR, SABINE; JÜNGEL, ANSGAR
- Book ID
- 120451194
- Publisher
- World Scientific Publishing Company
- Year
- 2012
- Tongue
- English
- Weight
- 768 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0218-2025
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