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math.OC2022
Optimal Control of a Quasi-Variational Sweeping Process
Harbir Antil, Rafael Arndt, Boris S. Mordukhovich +2
The paper addresses the study of a class of evolutionary quasi-variational inequalities of the parabolic type arising in the formation and growth models of granular and cohensionle…
math.OC2021
Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints
Harbir Antil, Rafael Arndt, Carlos N. Rautenberg +1
In this paper, we consider non-diffusive variational problems with mixed boundary conditions and (distributional and weak) gradient constraints. The upper bound in the constraint i…
math.OC2021
Differentiability and Control of a Model for Granular Material Accumulation
Rafael Arndt, Carlos N. Rautenberg
We consider differentiability issues associated to the problem of minimizing the accumulation of a granular cohesionless material on a certain surface. The design variable or contr…