Open AccessRate of approach to the steady state for a diffusion-convection equation on annular domains
Author(s) -
Liping Zhu,
Zhengce Zhang
Publication year - 2012
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2012.1.39
Subject(s) - mathematics , diffusion , convection , steady state (chemistry) , convection–diffusion equation , mechanics , mathematical analysis , thermodynamics , physics , chemistry
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
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