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Optimal boundary control of cardiac alternans
2007 American Control Conference, 2007AbstractAlternation of normal electrical activity in the myocardium is believed to be linked to the onset of life‐threatening ventricular arrhythmias and sudden cardiac death. In this paper, a spatially uniform unstable steady state of small amplitude of alternans described by parabolic partial differential equations (PDEs) is stabilized by boundary ...
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Optimal boundary control for hyperdiffusion equation
Kybernetika, 2010Summary: We consider the solution of optimal control problem for hyperdiffusion equation involving a boundary function of continuous time variable in its cost function. A specific direct approach based on infinite series of Fourier expansion in space and temporal integration by parts for analytical solution is proposed to solve optimal boundary control
Hanif Heidari, Alaeddin Malek
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Optimal transportation of grain boundaries: A forward model for predicting migration mechanisms
Acta Materialia, 2021Ian Chesser +2 more
exaly
Optimal stability for inverse elliptic boundary value problems with unknown boundaries
2000A class of inverse problems associated to an elliptic boundary value problem in high dimension is studied. The location of inaccessible parts in the boundary by measuring Dirichlet (resp. Neumann) data on an accessible place \(A\) for given Neumann (resp. Dirichlet) data supported in \(A\) is determined and the best possible stability estimates for the
ALESSANDRINI, GIOVANNI +3 more
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A note on the regularity of the free boundaries in the optimal partial transport problem
Rendiconti Del Circolo Matematico Di Palermo, 2009Alessio Figalli
exaly

