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Stability and instability of solutions to the drift-diffusion system

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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… Click to show full abstract

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.

Keywords: diffusion; solutions drift; instability solutions; stability instability; drift diffusion

Journal Title: Evolution Equations and Control Theory
Year Published: 2017

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