Special Session 10: 

Long-time asymptotics for nonlocal porous medium equation with absorption or convection

Bruno Volzone
Universit`{a} degli Studi di Napoli ``Parthenope``
Italy
Co-Author(s):    Filomena Feo and Yanghong Huang
Abstract:
In this talk, I will present results concerning the long-time asymptotic behaviours of nonlocal porous medium equations with absorption or convection. In the parameter regimes when the nonlocal diffusion is dominant, the entropy methods are essential for the derivation of the exponential convergence of relative entropy of solutions in similarity variables. The results are objects of a recent joint work with F. Feo and Y. Huang.