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The bang-bang property in some parabolic bilinear optimal control problems \emph{via} two-scale asymptotic expansions
Idriss Mazari
We investigate the bang-bang property for fairly general classes of constrained bilinear optimal control problems in two cases: that of the one-dimensional torus, in…
Qualitative analysis of optimisation problems with respect to non-constant Robin coefficients
Idriss Mazari, Yannick Privat
Following recent interest in the qualitative analysis of some optimal control and shape optimisation problems, we provide in this article a detailed study of the optimisation of Ro…
Generalized principal eigenvalues of space-time periodic, weakly coupled, cooperative, parabolic systems
Léo Girardin, Idriss Mazari
This paper is concerned with generalizations of the notion of principal eigenvalue in the context of space-time periodic cooperative systems. When the spatial domain is the whole s…
Spectral optimization of inhomogeneous plates
Elisa Davoli, Idriss Mazari, Ulisse Stefanelli
This article is devoted to the study of spectral optimisation for inhomogeneous plates. In particular, we optimise the first eigenvalue of a vibrating plate with respect to its thi…
Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate
Idriss Mazari, Grégoire Nadin, Yannick Privat
In this article, we give an in-depth analysis of the problem of optimising the total population size for a standard logistic-diffusive model. This optimisation problem stems from t…
Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: Two-scale expansions and symmetrisations
Idriss Mazari, Grégoire Nadin, Ana Isis Toledo Marrero
In this article, we propose in-depth analysis and characterisation of the optimisers of the following optimisation problem: how to choose the initial condition in order to ma…