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math.OC2024
Computational Shape Derivatives in Heat Conduction: An Optimization Approach for Enhanced Thermal Performance
M. Azaiez, A. Doubova, S. Ervedoza +2
We analyze an optimization problem of the conductivity in a composite material arising in a heat conduction energy storage problem. The model is described by the heat equation that…
math.OC2020
Switching Controls for Analytic Semigroups and Applications to Parabolic Systems
Felipe W. Chaves-Silva, Sylvain Ervedoza, Diego A. Souza
In this work, we push further the analysis of the problem of switching controls proposed in [E. Zuazua, Switching control, J. Eur. Math. Soc. (JEMS), 13(1): 85--117, 2011]. The pro…
math.OC2016★ 1 cited
On the reachable set for the one-dimensional heat equation
Jérémi Dardé, Sylvain Ervedoza
The goal of this article is to provide a description of the reachable set of the one-dimensional heat equation, set on the spatial domain x (--L, L) with Dirichlet boundary c…