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20112026
most citedNumerical approximation of the Stochastic Cahn-Hilliard Equation near the Sharp Interface Limit

16 citations · 54 across the 17 of their papers we have counts for

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math.PR2023

Improved estimates for the sharp interface limit of the stochastic Cahn-Hilliard equation with space-time white noise

Ľubomír Baňas, Jean Daniel Mukam

We study the sharp interface limit of the stochastic Cahn-Hilliard equation with cubic double-well potential and additive space-time white noise where is an inte…

math.PR2021★ 1 cited

Stochastic partial differential equations arising in self-organized criticality

Ľubomír Baňas, Benjamin Gess, Marius Neuß

We study scaling limits of the weakly driven Zhang and the Bak-Tang-Wiesenfeld (BTW) model for self-organized criticality. We show that the weakly driven Zhang model converges to a…

math.PR2019

Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise

Lubomir Banas, Huanyu Yang and, Rongchan Zhu

We study the the sharp interface limit of -dependent two dimensional stochastic Cahn-Hilliard equation driven by space-time white noise and conservative noise as $\var…

math.PR2014

Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere

L'ubomír Banas, Zdzisław Brzeźniak, Misha Neklyudov +2

We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering the space variable-independent soluti…

math.PR2011

Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds

Lubomir Banas, Zdzislaw Brzezniak, Martin Ondrejat +1

We give a sufficient condition on nonlinearities of an SDE on a compact connected Riemannian manifold which implies that laws of all solutions converge weakly to the normalized…