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Resumen de Singular solutions of partial differential equations modelling chemotactic aggregation

Juan José López Velázquez Árbol académico

  • 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.


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