Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839221 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 23 Pages |
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
Federico Cornalba,