• Corpus ID: 235265916

A one-phase Stefan problem with non-linear diffusion from highly competing two-species particle systems

  title={A one-phase Stefan problem with non-linear diffusion from highly competing two-species particle systems},
  author={Kohei Hayashi},
Abstract. We consider an interacting particle system with two species under strong competition dynamics between the two species. Then, through the hydrodynamic limit procedure for the microscopic model, we derive a one-phase Stefan type free boundary problem with nonlinear diffusion, letting the competition rate divergent. Non-linearity of diffusion comes from a zero-range dynamics for one species while we impose the other species to weakly diffuse according to the Kawasaki dynamics for… 


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