Singular solutions of partial differential equations modelling chemotactic aggregation

  1. López Velázquez, Juan José
Libro:
Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures
  1. Sanz Solé, Marta (coord.)
  2. Soria de Diego, Javier (coord.)
  3. Varona Malumbres, Juan Luis (coord.)
  4. Verdera, Joan (coord.)

Editorial: Zürich : European Mathematical Society, [2006

ISBN: 978-3-03719-022-7

Año de publicación: 2006

Volumen: 3

Páginas: 321-338

Tipo: Capítulo de Libro

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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.

Fuente de los datos: Dialnet