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math.OC2020★ 2 cited
Optimal Control of the 2D Evolutionary Navier-Stokes Equations with Measure Valued Controls
Eduardo Casas, Karl Kunisch
In this paper, we consider an optimal control problem for the two-dimensional evolutionary Navier-Stokes system. Looking for sparsity, we take controls as functions of time taking…
math.AP2020
Well-Posedness of Evolutionary Navier-Stokes Equations with Forces of Low Regularity on Two-Dimensional Domains
Eduardo Casas, Karl Kunisch
Existence and uniqueness of solutions to the Navier-Stokes equation in dimension two with forces in the space for and in appropriate par…
math.OC2020
Analysis of Optimal Control Problems with an Term in the Cost Functional
Eduardo Casas, Daniel Wachsmuth
In this paper, we investigate optimal control problems subject to a semilinear elliptic partial differential equations. The cost functional contains a term that measures the size o…