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math.AP2018★ 5 cited
Generation of fine transition layers and their dynamics for the stochastic Allen--Cahn equation
Matthieu Alfaro, Dimitra Antonopoulou, Georgia Karali +1
We study an $\ep$-dependent stochastic Allen--Cahn equation with a mild random noise on a bounded domain in , . Here $\ep$ is a small positive parameter that…
math.AP2013
A Hilbert expansions method for the rigorous sharp interface limit of the generalized Cahn-Hilliard Equation
D. C. Antonopoulou, G. D. Karali, E. Orlandi
We consider Cahn-Hilliard equations with external forcing terms. Energy decreasing and mass conservation might not hold. We show that level surfaces of the solutions of such genera…