A nonlocal stochastic Cahn-Hilliard equation

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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.

Original languageEnglish
Pages (from-to)38-60
Number of pages23
JournalNonlinear Analysis: Theory Methods & Applications
Publication statusPublished - 1 Jul 2016


  • Cahn-Hilliard
  • Stochastic partial differential equation
  • Variational solution


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