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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Navier-Stokes-Fokker-Planck systems: modelling, analysis and computation




Date(s) : 06/12/2016   iCal
11h00 - 12h00

The Navier-Stokes-Fokker-Planck system is a complicated set of nonlinear partial differential equations arising from kinetic models of dilute polymeric fluids in statistical physics.

We shall describe several recent results concerning the existence of large-data global weak solutions to Navier–Stokes–Fokker–Planck systems and will highlight a number of significant open problems concerning the construction and mathematical analysis of numerical algorithms for these equations. From the computational point of view a major challenge is that the Fokker-Planck equation is high-dimensional.

The lecture is based on a series of joint papers with John W. Barrett (Imperial College London).

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