Singular solutions of partial differential equations modelling chemotactic aggregation
- Sanz Solé, Marta (coord.)
- Soria de Diego, Javier (coord.)
- Varona Malumbres, Juan Luis (coord.)
- Verdera, Joan (coord.)
Publisher: Zürich : European Mathematical Society, [2006
ISBN: 978-3-03719-022-7
Year of publication: 2006
Volume: 3
Pages: 321-338
Type: Book chapter
Abstract
This paper reviews several mathematical results for partial differential equations modelling chemotaxis. In particular, questions like singularity formation for the Keller�Segel model and continuation of the solutions beyond the blow-up time will be discussed. Some of the open problems that remain for the Keller�Segel model as well as some new mathematical problems arising in the study of chemotaxis problems will be discussed.