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math.AP2018
A theoretical investigation of Brockett's ensemble optimal control problems
Jan Bartsch, Alfio Borzì, Francesco Fanelli +1
This paper is devoted to the analysis of problems of optimal control of ensembles governed by the Liouville (or continuity) equation. The formulation and study of these problems ha…
math.AP2017
How to place an obstacle having a dihedral symmetry centered at a given point inside a disk so as to optimize the fundamental Dirichlet eigenvalue
Anisa M. H. Chorwadwala, Souvik Roy
A generic model for the shape optimization problems we consider in this paper is the optimization of the Dirichlet eigenvalues of the Laplace operator with a volume constraint. We…