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Kinetic models of chemotaxis

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Partial Differential Equations in Kinetic Theories

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).

This talk is part of the Isaac Newton Institute Seminar Series series.

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