In this paper, the long-time asymptotic behaviours of one-dimensional porous medium equations with a fractional pressure and absorption or convection are studied. In the parameter regimes when the nonlocal diusion is dominant, the entropy method is adapted to derive the exponential convergence of relative entropy of solutions in similarity variables.
Long-time asymptotics for a 1D nonlocal porous medium equation with absorption or convection
Volzone B.
2020-01-01
Abstract
In this paper, the long-time asymptotic behaviours of one-dimensional porous medium equations with a fractional pressure and absorption or convection are studied. In the parameter regimes when the nonlocal diusion is dominant, the entropy method is adapted to derive the exponential convergence of relative entropy of solutions in similarity variables.File in questo prodotto:
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