Large time behavior for the porous medium equation with convection

01 Pubblicazione su rivista
Andreucci Daniele, Tedeev Anatoli F.
ISSN: 1572-9648

We consider the Cauchy problem for the porous medium
equation with nonlinear convection, when the nonlinearities are the
same in the convection and in the diffusion terms. We get a new
sharp bound of the solution for large times.

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