4 papers · 1 filter
Fractional hypocoercivity in bounded domains in the anomalous diffusion limit
Maxime Herda, Marc Pegon, Isabelle Tristani
In this paper, we provide quantitative stability results for several dissipative linear kinetic equations with heavy-tailed equilibria in different geometries. Moreover, the approa…
Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers
Dilara Abdel, Alain Blaustein, Claire Chainais-Hillairet +2
We consider a stationary drift-diffusion system with ionic charge carriers and external generation of electron and hole charge carriers. This system arises, among other application…
Charge transport systems with Fermi-Dirac statistics for memristors
Maxime Herda, Ansgar Jüngel, Stefan Portisch
An instationary drift-diffusion system for the electron, hole, and oxygen vacancy densities, coupled to the Poisson equation for the electric potential, is analyzed in a bounded do…
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…