Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 274, Issue 3, Pages 717-735Publisher
SPRINGER
DOI: 10.1007/s00220-007-0288-1
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We consider the aggregation equation u(t) + del (.) (u del K * u) = 0 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(-vertical bar x vertical bar). 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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