Displaying similar documents to “Optimal control for the boundary flux to the continuous casting problem.”

Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs

Peter I. Kogut, Günter Leugering (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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We are concerned with the asymptotic analysis of optimal control problems for 1 -D partial differential equations defined on a periodic planar graph, as the period of the graph tends to zero. We focus on optimal control problems for elliptic equations with distributed and boundary controls. Using approaches of the theory of homogenization we show that the original problem on the periodic graph tends to a standard linear quadratic optimal control problem for a two-dimensional homogenized...

Boundary layer for Chaffee-Infante type equation

Roger Temam, Xiaoming Wang (1998)

Archivum Mathematicum

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This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.