Finite-time blow-up of L∞-weak solutions of an aggregation equation

Andrea L. Bertozzi, Jeremy Brandman

Type: Article

Publication Date: 2010-01-01

Citations: 77

DOI: https://doi.org/10.4310/cms.2010.v8.n1.a4

Abstract

We consider the aggregation equation utWe assume that K is rotationally invariant, nonnegative, decaying at infinity, with at worst a Lipschitz point at the origin.We prove existence, uniqueness, and continuation of solutions.Finite time blow-up (in the L ∞ norm) of solutions is proved when the kernel has precisely a Lipschitz point at the origin.

Locations

Communications in Mathematical Sciences - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
Project Euclid (Cornell University) - View - PDF

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