We study a parabolic-elliptic system of partial differential equations, which describes the chemotactic feature of slime molds. It is known that the blowup solution forms singularities such as delta functions, referred to as the collapses. Here, we study the case that the domain is a flat torus and
Existence and stability of steady solutions to nonlinear parabolic-elliptic systems modelling chemotaxis
✍ Scribed by Hua Chen; Xin-Hua Zhong
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 118 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
In this paper, we study the existence of non‐constant steady solutions and the linear stability of constant solutions to nonlinear parabolic‐elliptic system, which actually is a simplified form of the Keller–Segel system modelling chemotaxis. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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