Singular solutions of partial differential equations modelling chemotactic aggregation

• Autores: Juan José López Velázquez
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé , Javier Soria de Diego , Juan Luis Varona Malumbres , Joan Verdera , Vol. 3, 2006, ISBN 978-3-03719-022-7, págs. 321-338
• Idioma: inglés
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• Resumen

  • 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.