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

Filomena Feo
Membro del Collaboration Group
;
Bruno Volzone
Membro del Collaboration Group
2020

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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/72311
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact