A nonlocal stochastic Cahn-Hilliard equation

Federico Cornalba

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)38-60
Number of pages23
JournalNonlinear Analysis: Theory Methods & Applications
Volume140
DOIs
Publication statusPublished - 1 Jul 2016

Keywords

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

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