Convergence to steady states for solutions of a reaction-diffusion equation with mass conservation
Résumé
We consider a reaction-diffusion equation with mass conservation, which was originally proposed by Rubinstein and Sternberg as a model for phase separation in a binary mixture. We study the large time behavior of the solution and show that it converges to a stationary solution as t tends to infinity. We also evaluate the rate of this convergence and compute precisely the limit stationary solution in one dimension.
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