Finite-Time Blow-up of Solutions of an Aggregation Equation in Rn |
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| Authors: | Andrea L. Bertozzi Thomas Laurent |
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| Affiliation: | (1) Department of Mathematics, University of California, Los Angeles, 90095, USA;(2) Department of Mathematics, Duke University, Durham, NC 27708, USA |
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| Abstract: | We consider the aggregation equation  in R n , n ≥ 2, where K is a rotationally symmetric, nonnegative decaying kernel with a Lipschitz point at the origin, e.g. K(x) = e −|x|. We prove finite-time blow-up of solutions from specific smooth initial data, for which the problem is known to have short time existence of smooth solutions. |
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