Multidimensional Reaction Diffusion Equations with Nonlinear Boundary Conditions
Andrew A. Lacey, J. Sabina, J. R. Ockendon · SIAM Journal on Applied Mathematics · 1998
We consider diffusion models in which distributed nonlinear absorption mechanisms compete with nonlinear boundary sources. Assuming that the nonlinearities are weak, formal asymptotic approximations are constructed to describe stability of steady states and the behavior of solutions of initial-boundary value problems.