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nlin.PS2010★ 6 cited
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation
Gregoire Nadin, Benoit Perthame, Min Tang
This note investigates the properties of the traveling waves solutions of the nonlocal Fisher equation. The existence of such solutions has been proved recently in \cite{BNPR} but…
nlin.PS2010★ 30 cited
Traveling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities
Benoit Perthame, Christian Schmeiser, Min Tang +1
How can repulsive and attractive forces, acting on a conservative system, create stable traveling patterns or branching instabilities? We have proposed to study this question in th…