Asymptotics behaviour in one dimensional model of interacting particles

Autor:	Celiński, Rafał
Rok vydání:	2011
Předmět:	Mathematics - Analysis of PDEs 35K15
Druh dokumentu:	Working Paper
Popis:	We consider the equation u_t=\epsilon u_{xx}+(u\ K'*u)_x for x\in\mathbb{R}, t>0 and with \epsilon\geq 0, supplemented with a nonnegative, integrable initial datum. We present a class of interaction kernels K' such that the large time behaviour of solutions to this initial value problem is described by a compactly supported self-similar profile.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1105.0872 Zobrazit plný text záznamu View this record from Arxiv