Robust control of a cahn-hilliard-navier-stokes model Article

Tachim Medjo, T. (2016). Robust control of a cahn-hilliard-navier-stokes model . COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 15(6), 2075-2101. 10.3934/cpaa.2016028

cited authors

  • Tachim Medjo, T

authors

abstract

  • We study in this article a class of robust control problems associated with a coupled Cahn-Hilliard-Navier-Stokes model in a two dimensional bounded domain. The model consists of the Navier-Stokes equations for the velocity, coupled with the Cahn-Hilliard model for the order (phase) parameter. We prove the existence and uniqueness of solutions and we derive a first-order necessary optimality condition for these robust control problems.

publication date

  • November 1, 2016

published in

Digital Object Identifier (DOI)

start page

  • 2075

end page

  • 2101

volume

  • 15

issue

  • 6