Global existence and blow up for a weak solution to a degenerate drift-diffsion system between two critical cases

Takayoshi Ogawa
Tohoku University, Japan
11th March 2013 14:00-15:00, Carslaw Room 829 (AGR)

Abstract

A simplified model called drift-diffusion system is one of the fluid mechanical approximations of astronomy gas and it is reduced from the compressible Navier-Stokes-Poisson system. We we give a short history of such reductions and consider two critical exponents. We then discuss mainly the existence of global solutions between two critical exponents. This is a joint work with Atsushi Kimijima and Kazushige Nakagawa.

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