A nonlocal stochastic Cahn-Hilliard equation (1510.07923v2)

Published 27 Oct 2015 in math.PR and math.AP

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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Authors (1)

Federico Cornalba

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