Well-posedness of stochastic second grade fluids

Nikolai Chemetov, Fernanda Cipriano

Research output: Contribution to journalArticlepeer-review


The theory of turbulent Newtonian fluids shows that the choice of the boundary condition is a relevant issue because it can modify the behavior of a fluid by creating or avoiding a strong boundary layer. In this study, we consider stochastic second grade fluids filling a two-dimensional bounded domain with the Navier-slip boundary condition (with friction). We prove the well-posedness of this problem and establish a stability result. Our stochastic model involves a multiplicative white noise and a convective term with third order derivatives, which significantly complicate the analysis. (C) 2017 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)585-616
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - 15 Oct 2017


  • Second grade fluid
  • Solvability
  • Stability
  • Stochastic


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