51 citations · 92 across the 14 of their papers we have counts for
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Layer dynamics for the one dimensional -dependent Cahn-Hilliard / Allen-Cahn equation
Dimitra Antonopoulou, Georgia Karali, Konstantinos Tzirakis
We study the dynamics of the one-dimensional -dependent Cahn-Hilliard / Allen-Cahn equation within a neighborhood of an equilibrium of transition layers, that in g…
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…
On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Zero Initial Data
Dimitra C. Antonopoulou, Spyridon Kamvissis
Initial-boundary value problems for 1-dimensional `completely integrable' equations can be solved via an extension of the inverse scattering method, which is due to Fokas and his c…
On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Non-zero Initial Data
Dimitra C. Antonopoulou, Spyridon Kamvissis
Initial-boundary value problems for 1-dimensional `completely integrable' equations can be solved via an extension of the inverse scattering method, which is due to Fokas and his c…
The Sharp interface limit for the stochastic Cahn-Hilliard equation
Dimitra C. Antonopoulou, Dirk Blömker, Georgia D. Karali
We study the two and three dimensional stochastic Cahn-Hilliard equation in the sharp interface limit, where the positive parameter tends to zero, which measures the width of t…
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…