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arXiv · 1510.07923

A nonlocal stochastic Cahn-Hilliard equation

Federico Cornalba
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Abstract

We consider a stochastic extension of the nonlocal convective Cahn-Hilliard equation containing an additive Wiener process noise. We first introduce a suitable analytical setting and make some mathematical and physical assumptions. We then establish, in a variational context, the existence of a weak statistical solution for this problem. Finally we prove existence and uniqueness of a strong solution.

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Federico Cornalba. 2016-03-07. A nonlocal stochastic Cahn-Hilliard equation. https://arxiv.org/abs/1510.07923

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