Boundary null-controllability of coupled parabolic systems with Robin conditions
Kuntal Bhandari, Franck Boyer
Abstract
<p style='text-indent:20px;'>The main goal of this paper is to investigate the boundary controllability of some coupled parabolic systems in the cascade form in the case where the boundary conditions are of Robin type. In particular, we prove that the associated controls satisfy suitable uniform bounds with respect to the Robin parameters, that let us show that they converge towards a Dirichlet control when the Robin parameters go to infinity. This is a justification of the popular penalisation method for dealing with Dirichlet boundary data in the framework of the controllability of coupled parabolic systems.
Topics & Concepts
ControllabilityBoundary (topology)MathematicsDirichlet boundary conditionRobin boundary conditionDirichlet distributionCascadeMathematical analysisBoundary value problemApplied mathematicsMixed boundary conditionEngineeringChemical engineeringStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems