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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...
Measure valued solutions of sub-linear diffusion equations with a drift term
sublinear diffusion concentration phenomena propagation of singularities gradient flows
2010/12/9
In this paper we study nonnegative, measure valued solutions of the initial value problem for
one-dimensional drift-diffusion equations when the nonlinear diffusion is governed by an increasing C1 fu...