Global existence of solutions to a parabolic system for chemotaxis in two space dimensions
β Scribed by Toshitaka Nagai
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 452 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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.
The following degenerate parabolic system modelling chemotaxis is considered. where = 0 or 1. We show here that the system of (KS) with m > 1 has a time global weak solution (u, v) with a uniform bound in time when (u 0 , v 0 ) is a nonnegative function and
We consider the classical parabolic-parabolic Keller-Segel system describing chemotaxis, i.e., when both the evolution of the biological population and the chemoattractant concentration are described by a parabolic equation. We prove that when the equation is set in the whole space R d and dimension