Rate of approach to the steady state for a diffusion-convection equation on annular domains
In this paper, we study the asymptotic behavior of global solutions of the equation $u_t=\Delta u+e^{|\nabla u|}$ in the annulus $B_{r,R}$, $u(x,t)=0$ on $\partial B_r$ and $u(x,t)=M\geq 0$ on $\partial B_R$. It is proved that there exists a constant $M_c>0$ such that the problem admits a unique...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2012-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1470 |