Fast-reaction Asymptotics for a Time-dependent Reaction-diffusion System with a Growing Nonlinear Source Term

@inproceedings{Seidman2010FastreactionAF,
  title={Fast-reaction Asymptotics for a Time-dependent Reaction-diffusion System with a Growing Nonlinear Source Term},
  author={Thomas I. Seidman},
  year={2010}
}
In this paper, we prove rigorously the fast-reaction asymptotics λ →∞ for a reaction-diffusion system having a nonlinear production term with very rapid reaction rate λ. We derive the limit PDE system and prove the uniqueness of its solutions. The key tools of our analysis include (uniform w.r.t. λ) L-estimates for both q and w and a balanced formulation… CONTINUE READING