Kinetic models of chemotaxis
Duration: 39 mins 43 secs
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| Description: |
Bournaveas, N (Edinburgh)
Wednesday 08 September 2010, 15:30-16:10 |
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| Created: | 2010-09-13 13:30 | ||||
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| Collection: | Partial Differential Equations in Kinetic Theories | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Bournaveas, N | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | 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). |
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