Global Solutions to Quadratic Systems of Stochastic Reaction-Diffusion Equations in Space-Dimension Two
By Julien Vovelle
Global Solutions to Quadratic Systems of Stochastic Reaction-Diffusion Equations in Space-Dimension Two
By Julien Vovelle
Appears in collection : Recent trends in nonlinear evolution equations / Nouvelles perspectives sur les équations d'évolution non linéaires
In this talk I will report on some of the progress made by the author and collaborators on the topic of nonlinear diffusion equations involving long distance interactions in the form of fractional Laplacian operators. The nonlinearities are of the following types: porous medium, fast diffusion or p-Laplacian. Results cover well-posedness, regularity, free bouncadaries, asymptotics, extinction, and others. Differences with standard diffusion have been specially examined.