From the 1 of 59 papers with an AI index.
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- Université Paris Dauphine-PSLFR15 papers
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- Département de mathématiques et applicationsFR2 papers
- Gran Sasso Science InstituteIT2 papers
- Institut de Mathématiques de ToulouseFR2 papers
- Institut Denis PoissonFR2 papers
13 papers · 1 filter
Analysis on spaces of measures
Charles Bertucci
This work presents analytical tools for studying functions defined on spaces of measures, together with two applications: mean field game master equations and first order Hamilton-…
Non-linear Stegall's lemma and general Hamilton-Jacobi-Bellman equations on Wasserstein spaces
Charles Bertucci, Pierre-Louis Lions
We present a comparison principle for unbounded viscosity solutions to Hamilton-Jacobi equations on Wasserstein spaces of probability measures over . In addition to the use o…
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…
Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain
Kleber Carrapatoso, Pierre Gabriel, Richard Medina +1
We consider a general Kinetic Fokker-Planck (KFP) equation in a domain with Maxwell reflection condition on the boundary, not necessarily with conservation of mass. We establish th…
The Boltzmann equation with non-isothermal Maxwell boundary conditions
R Medina
In this paper, we study the Boltzmann equation in a close to the hydrodynamic limit regime, set in bounded spatial domains with non-isothermal Maxwell boundary conditions. We estab…
Rates of convergence in long time asymptotics of an alignment model with symmetry breaking
Alexandre Surin
We consider a nonlinear Fokker-Planck equation derived from a Cucker-Smale model for flocking with noise. There is a known phase transition depending on the noise between a regime…