Global Solutions to Quadratic Systems of Stochastic Reaction-Diffusion Equations in Space-Dimension Two

Video is not available and will be soon...

entropy
global existence
reaction-diffusion equations
diffusion-approximation

With Marta Leocata (LUISS, Roma), we study stochastic perturbations to systems of reaction-diffusion equations, the structure of the noise being deduced from the modeling of chemical reactions in a diffusive regime. I will explain in this talk how to establish the existence of global solutions for four-species quadratic systems in space-dimension two.