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Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation

✍ Scribed by Nakaguchi, Etsushi; Osaki, Koichi

Book ID
125851675
Publisher
American Institute of Mathematical Sciences
Year
2013
Tongue
English
Weight
448 KB
Volume
18
Category
Article
ISSN
1531-3492

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πŸ“œ SIMILAR VOLUMES

Global solutions in a fully parabolic ch
Global solutions in a fully parabolic chemotaxis system with singular sensitivity
✍ Michael Winkler πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 239 KB

## Communicated by Howard A. Levine The Neumann boundary value problem for the chemotaxis system ⎧ ⎨ ⎩ is considered in a smooth bounded domain X βŠ‚ R n , n 2, with initial data u 0 ∈ C 0 ( X) and v 0 ∈ W 1,∞ (X) satisfying u 0 0 and v 0 >0 in X. It is shown that if 0<v< √ 2 / n then for any such