56 citations · 298 across the 34 of their papers we have counts for
4 papers · 1 filter
Optimization of the L1 norm of the solution of a Fisher-KPP equations in the small diffusivity regime
Grégoire Nadin
We investigate in the present paper the maximization problem for the L1 norm of the unique positive solution of an heterogeneous Fisher-KPP equation with respect to the growth rate…
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…
Diameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying media *
François Hamel, Grégoire Nadin
We consider in this article reaction-diffusion equations of the Fisher-KPP type with a nonlinearity depending on the space variable x, oscillating slowly and non-periodically. We a…
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…