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Kinetic models of chemotaxis

Bournaveas, N (Edinburgh)
Wednesday 08 September 2010, 15:30-16:10

Seminar Room 1, Newton Institute


Chemotaxis is the directed motion of cells towards higher concentrations of chemoattractants. At the microscopic level it is modeled by a nonlinear kinetic transport equation with a quadratic nonlinearity. We'll discuss global existence results obtained using dispersion and Strichartz estimates, as well as some blow up results. (joint work with Vincent Calvez, Susana Gutierrez and Benoit Perthame).


[pdf ]


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