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SUMMARY:Macroscopic limits and decay to equilibrium for kinetic equations 
 with relaxation collision kernels and mass conservation - Schmeiser\, C (W
 ien)
DTSTART:20100908T090000Z
DTEND:20100908T100000Z
UID:TALK26060@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Recent results on the rigorous derivation of nonlinear convect
 ion- diffusion equations (ranging from porous medium to fast diffusion mod
 els) from kinetic transport models will be reviewed. Entropy dissipation t
 echniques are employed in combination with compensated compactness. \n\nEx
 ponential convergence to global equilibria is derived by a general abstrac
 t strategy for proving hypocoercivity results. It relies on the constructi
 on of a Lyapunov functional by a modification of the quadratic relative en
 tropy and is inspired by the theory of hypoellipticity.\n
LOCATION:Seminar Room 1\, Newton Institute
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