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math.AP2017
Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model
Christian Nolde, Dirk Blömker
In order to prove numerically the global existence and uniqueness of smooth solutions of a fourth order, nonlinear PDE, we derive rigorous a-posteriori upper bounds on the supremum…
math.AP2014
Fast Diffusion Limit for Reaction-Diffusion Systems with Stochastic Neumann Boundary Conditions
Wael W. Mohammed, Dirk Blömker
We consider a class of reaction-diffusion equations with a stochastic perturbation on the boundary. We show that in the limit of fast diffusion, one can rigorously approximate solu…