The large time behavior of solutions of a diffusion equation involving a nonlocal convection term |
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| Authors: | Fathi B. Saidp∗ |
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| Affiliation: | Department of Mathematics and Statistics , University of Maryland Baltimore County , Baltimore, Maryland, 21228 |
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| Abstract: | We study the existence, uniqueness, and asymtotic behaviour of non-negative solutions to a parabolic diffusion equation involving a nonlocal con-vective term on a bounded domain ? contained in Rn. We apply the In variance Principle of LaSalle and Hale to prove that the solution tends to zero as t → ∞ |
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| Keywords: | Parabolic PDEs large time behavior nonlocal convective terms |
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