
We present an existence and approximation theory for certain free boundary optimization problems involving capacity. Our method is based on a class of area-preserving domain perturbation operators which tend to diminish capacity.
ddc:510, Variational methods applied to PDEs, Free-Boundary Optimization, Applications to the sciences, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Mathematics, info:eu-repo/classification/ddc/510, 510
ddc:510, Variational methods applied to PDEs, Free-Boundary Optimization, Applications to the sciences, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Mathematics, info:eu-repo/classification/ddc/510, 510
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