Asymptotic profiles of solutions to convection-diffusion equations

Details Asymptotic profiles of solutions to convection-diffusion equations Asymptotic profiles of solutions to convection-diffusion equations

2007-04-10

arxiv.org/abs/0704.1208v1

Comptes rendus de l'acad\'emie des sciences, Math\'ematiques 338 (07/01/2004) 369-374

Mathematics

Analysis of PDEs

Scientific paper

The large time behavior of zero mass solutions to the Cauchy problem for a
convection-diffusion equation. We provide conditions on the size and shape of
the initial datum such that the large time asymptotics of solutions is given
either by the derivative of the Guass-Weierstrass kernel or by a self-similar
solution or by a hyperbolic N-wave

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