Global Solutions to Quadratic Systems of Stochastic Reaction-Diffusion Equations in Space-Dimension Two
Appears in collection : French Japanese Conference on Probability and Interactions
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.