Section: New Results

Long time existence of weak solutions to cross diffusion models

We pointed out a general entropy structure in cross diffusion systems. We used this structure with duality arguments to build a general framework in which weak solutions exist for a long time. This led to two research articles (one [10] in Siam Journal of Mathematical Analysis and one and [32] recently accepted in Comm. In PDE). This was conducted with the help of the ANR KIBORD.