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In this paper, we study the asymptotic behavior of global solutions of the equation ut = u + e jr uj in the annulus Br,R, u(x, t) = 0 on @Br and u(x, t) = M  0 on @BR. It is proved that there exists a constant Mc > 0 such that the problem admits a unique steady state if and only

Rate of approach to the steady state for a diffusion-convection equation on annular domains