𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global Solutions in Three Dimensions for Systems Describing a Chemotaxis Phenomenon

✍ Scribed by A. Boy-Dalverny; M. Madaune-Tort


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
182 KB
Volume
26
Category
Article
ISSN
0196-8858

No coin nor oath required. For personal study only.

✦ Synopsis


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.


πŸ“œ SIMILAR VOLUMES


Global solutions of the non-linear probl
✍ Marian BieΕ„ πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 203 KB πŸ‘ 1 views

The existence of global-in-time weak solutions to the Joule problem modelling heating or cooling in a current and heat conductive medium is proved via the Faedo -Galerkin method. The existence proof entails some a priori estimates that together with the monotonicity and compactness methods make up a

Global solutions in a fully parabolic ch
✍ 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

Global weak solutions of a three-dimensi
✍ Youcef Amirat; Yue-Jun Peng πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 138 KB πŸ‘ 2 views

We consider an initial boundary value problem for a non-linear differential system consisting of one equation of parabolic type coupled with a n;n semi-linear hyperbolic system of first order. This system of equations describes the compressible miscible displacement of n#1 chemical species in a poro