Stability and instability of solutions to the drift-diffusion system
Takayoshi Ogawa, Hiroshi Wakui · Evolution equations and control theory · 2017
We consider the large time behavior of a solution to a drift-diffusion equation for degenerate and non-degenerate type. We show an instability and uniform unbounded estimate for the semi-linear case and uniform bound and convergence to the stationary solution for the case of mass critical degenerate case for higher space of dimension bigger than two.