40 citations · 64 across the 17 of their papers we have counts for
19 papers
Uniqueness and non-uniquess for the mean field control of fisheries
Greta Lamonaca, Idriss Mazari, Grégoire Nadin
We study a Mean Field Control system arising in the management of fisheries with a special emphasis on non-uniqueness issues. Namely, we focus on a situation where a group of playe…
Analysis of a combined Filtered/phase-field approach to topology optimization in elasticit
Ferdinando Auricchio, Michele Marino, Idriss Mazari +1
We advance a combined filtered/phase-field approach to topology optimization in the setting of linearized elasticity. Existence of minimizers is proved and rigorous parameter asymp…
Spatial ecology, optimal control and game theoretical fishing problems
Idriss Mazari, Domènec Ruiz-Balet
Of paramount importance in both ecological systems and economic policies are the problems of harvesting of natural resources. A paradigmatic situation where this question is raised…
A note on the rearrangement of functions in time and on the parabolic Talenti inequality
Mazari Idriss
Talenti inequalities are a central feature in the qualitative analysis of PDE constrained optimal control as well as in calculus of variations. The classical parabolic Talenti ineq…
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…
Quantitative estimates for parabolic optimal control problems under and constraints in the ball:Quantifying parabolic isoperimetric inequalities
Idriss Mazari
In this article, we present two different approaches for obtaining quantitative inequalities in the context of parabolic optimal control problems. Our model consists of a linearly…
Quantitative stability for eigenvalues of Schrödinger operator, Quantitative bathtub principle \& Application to the turnpike property for a bilinear optimal control problem
Idriss Mazari, Domenec Ruiz-Balet
This work is concerned with two optimisation problems that we tackle from a qualitative perspective. The first one deals with quantitative inequalities for spectral optimisation pr…
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations
Antoine Henrot, Idriss Mazari, Yannick Privat
Minimizing the so-called "Dirichlet energy" with respect to the domain under a volume constraint is a standard problem in shape optimization which is now well understood. This arti…
Quantitative inequality for the eigenvalue of a Schrödinger operator in the ball
Idriss Mazari
The aim of this article is to prove a quantitative inequality for the first eigenvalue of a Schrödinger operator in the ball. More precisely, we optimize the first eigenvalue $λ(V)…
Constrained control of gene-flow models
Idriss Mazari, Domenec Ruiz-Balet, Enrique Zuazua
In ecology and population dynamics, gene-flow refers to the transfer of a trait from one population to another. This phenomenon appears in studying the evolution of social features…
A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models
Idriss Mazari, Domenec Ruiz-Balet
Following some recent works, we investigate the problem of optimising the total population size for logistic diffusive models with respect to resources distributions. Using the spa…
Shape optimization of a weighted two-phase Dirichlet eigenvalue
Idriss Mazari, Grégoire Nadin, Yannick Privat
Let be a bounded function and a nonnegative parameter. This article is concerned with the first eigenvalue of the drifted Laplacian type operator …
Optimal location of resources maximizing the total population size in logistic models
Idriss Mazari, Grégoire Nadin, Yannick Privat
In this article, we consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially no…
Optimal control of resources for species survival
Idriss Mazari, Grégoire Nadin, Yannick Privat
Consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficie…