Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626829 | Applied Mathematics and Computation | 2015 | 14 Pages |
Abstract
This paper is concerned with the large time behavior of disturbed planar fronts in the Lotka-Volterra system in Rn(n⩾2). We first show that the large time behavior of the disturbed fronts can be approximated by that of the mean curvature flow with a drift term for all large time up to t=+â. And then we prove that the planar front is asymptotically stable in Lâ(Rn) under ergodic perturbations, which include quasi-periodic and almost periodic ones as special cases.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiaohuan Wang,