Finite-time blow-up of solutions of an aggregation equation in R
نویسندگان
چکیده
We consider the aggregation equation ut + ∇ · (u∇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−|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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