2 papers
math.AP2026
Incompressible Navier-Stokes limit of non-bilinear kinetic equations and application to the BGK, nonlinear Fokker-Planck and Boltzmann-Fermi-Dirac equations
Pierre Gervais
We consider collisional kinetic equations whose collision operator is not necessarily bilinear and prove quantitative convergence to the Navier-Stokes-Fourier system in weighted So…
math.AP2024
Well-posedness and long-time behavior for self-consistent Vlasov-Fokker-Planck equations with general potentials
Pierre Gervais, Maxime Herda
We study the well-posedness, steady states and long time behavior of solutions to Vlasov-Fokker-Planck equation with external confinement potential and nonlinear self-consistent in…