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The solvability of some chemotaxis systems
- Source :
-
Journal of Differential Equations . May2005, Vol. 212 Issue 2, p432-451. 20p. - Publication Year :
- 2005
-
Abstract
- Abstract: In this paper, we study the local existence and uniqueness of classical solutions to a wide class of systems of chemotaxis equations. These systems are essentially quasi-linear strongly coupled partial differential equations. We also study the maximal interval of existence in time of solutions. The results are illustrated in application to a number of partial differential equation models arising in biology. [Copyright &y& Elsevier]
- Subjects :
- *CHEMOTAXIS
*PARTIAL differential equations
*DIFFERENTIAL equations
*CALCULUS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 212
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 18944998
- Full Text :
- https://doi.org/10.1016/j.jde.2005.01.002