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math.AP2010★ 123 cited
Dirac mass dynamics in multidimensional nonlocal parabolic equations
Alexander Lorz, Sepideh Mirrahimi, Benoît Perthame
Nonlocal Lotka-Volterra models have the property that solutions concentrate as Dirac masses in the limit of small diffusion. Is it possible to describe the dynamics of the limiting…
math.AP2010★ 6 cited
Singular Hamilton-Jacobi equation for the tail problem
Sepideh Mirrahimi, Guy Barles, Benoit Perthame +1
In this paper we study the long time-long range behavior of reaction diffusion equations with negative square root -type reaction terms. In particular we investigate the exponentia…