Global Existence and Regularity Results for Large Cross Diffusion Models   on Planar Domains
  The global existence of classical solutions to cross diffusion systems of more than 2 equations given on a planar domain is established. The results can apply to generalized Shigesada-Kawasaki-Teramoto (SKT) and food pyramid models whose diffusion and reaction can have polynomial growth of any order. 
Dung Le
math.AP