On the Rayleigh-Bénard-Marangoni system and a related optimal control problem
type: Item
instance of: scholarly article
title: On the Rayleigh-Bénard-Marangoni system and a related optimal control problem
zbMATH Open document ID: 1432.49004
publication date: 2018-09-11T00:00:00Z
review text: The paper under review considers an optimal control problem governed by the stationary Rayleigh-Benard-Marangoni system in 3D. Specifically, the controls act as the Dirichlet boundary condition of the Navier-Stokes equation on part of the boundary, and as the Dirichlet and Neumann boundary conditions of the heat equation. The authors study the well-posedness of the state equation as well as that of the optimal control problem. First order necessary optimality system is derived with the Lagrange multiplier theory, moreover, the authors derive the second order sufficient optimality condition.
reviewed by: W. Gong
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 76R05
zbMATH DE Number: 6934578
zbMATH Keywords: optimality conditions
zbMATH Keywords: Rayleigh-Bénard-Marangoni system
zbMATH Keywords: boundary control problems
author: Diego Armando Rueda-Gómez
author: Elder J. Villamizar-Roa
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.07.038
OpenAlex ID: W2745515563
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DOI: 10.1016/J.CAMWA.2017.07.038
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6934578