SMS scnews item created by Daniel Daners at Wed 10 Mar 2010 1242
Type: Seminar
Distribution: World
Expiry: 15 Mar 2010
Calendar1: 15 Mar 2010 1505-1600
CalLoc1: Carslaw 373

PDE Seminar

Critical cases of the degenrate drift-diffusion system


Takayoshi Ogawa
Tohoku University, Japan
15 March 2010, 3-4pm, Carslaw Room 273


We consider the degenerate drift-diffusion system appearing in the semiconductor devise simulation, chemotaxis and the fluid mechanical approximation for the gravitational particles. There are some critical power appearing the degenerated term of the parabolic part of the system. I would like to show firstly how the system appears by the fluid mechanical approximation and then show the critical power in the system. One of them indeed corresponds the critical Sobolev exponent that is frequently appearing in the context of the semilinear heat equation.

Check also the PDE Seminar page. Enquiries to Florica CÓrstea or Daniel Daners.

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