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Degenerate Diffusion in Heterogeneous Media

Degenerate Diffusion in Heterogeneous Media

CAMS Colloquium

  • Date:
    Monday, February 3, 2014
  • Time:
    3:30 PM to 4:30 PM
  • Campus:
    University Park Campus
  • Venue:
    Kaprelian Hall (KAP)
  • Room:
    414

Description:

Guillermo Reyes-Souto
UC Irvine


Abstract: In this talk, I will present some recent results on the long-time behavior of non-negative solutions to the Cauchy problem for the Porous Medium Equation in the presence of variable density vanishing at infinity, [RV], [KRV].  

References:


[RV] G. Reyes & J.L. Vázquez, Long time behavior for the inhomogeneous PME in a medium with slowly decaying density, Commun. Pure Appl. Anal. 8 (2) (2009), pp. 493-508.


[KRV] S. Kamin, G. Reyes & J.L. Vázquez, Long time behavior for the inhomogeneous PME in a medium with a rapidly decaying density, Discrete and Continuous Dynamical Systems, (special issue devoted to Nonlinear Parabolic Problems), DCDS-A 26 (2) (2010), pp. 521-549.