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Traveling waves for the Keller-Segel system with Fisher birth terms
Chemotaxis Traveling waves Keller-Segel system Reaction diffusion systems Nonlinear stability
2015/7/14
We consider the traveling wave problem for the one dimensional Keller-Segel system with a birth term of either a Fisher/KPP type or with a truncation for small population densities. We prove that ther...
Measure valued solutions of the 2D Keller-Segel system
valued solutions the 2D Keller-Segel system
2010/11/8
We study the solutions of the two-dimensional Keller-Segel system describing chemotaxis. The Keller-Segel system as well as the properties of the blow-up set has been extensively studied. In this pap...
Traveling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities
Keller-Segel system hyperbolic system traveling waves branching instability
2010/12/16
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 the framework of the h...