A nonlocal stochastic Cahn-Hilliard equation

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• 作者：Federico Cornalba ^{F.Cornalba@bath.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：60H15 (35R60)
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：140
• 期：Complete
• 页码：38-60
• 全文大小：703 K

文摘

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.