Zobrazeno 1 - 10
of 150
pro vyhledávání: '"Mischler, Stéphane"'
We consider the nonlinear Voltage-Conductance kinetic equation arising in neuroscience. We establish the existence of solutions in a weighted $L^\infty$ framework in a weak interaction regime. We also prove the linear asymptotic exponential stability
Externí odkaz:
http://arxiv.org/abs/2408.02471
This work deals with the Landau equation in a bounded domain with the Maxwell reflection condition on the boundary for any (possibly smoothly position dependent) accommodation coefficient and for the full range of interaction potentials, including th
Externí odkaz:
http://arxiv.org/abs/2407.09031
We consider the Kinetic Fokker-Planck (FKP) equation in a domain with Maxwell reflection condition on the boundary. We establish the ultracontractivity of the associated semigroup and the hypocoercivity of the associated operator. We deduce the conve
Externí odkaz:
http://arxiv.org/abs/2406.10112
We consider the parabolic-parabolic Keller-Segel equation in the plane and prove the nonlinear exponential stability of the self-similar profile in a quasi parabolic-elliptic regime. We first perform a perturbation argument in order to obtain exponen
Externí odkaz:
http://arxiv.org/abs/2311.00095
In this work, we revisit the Krein-Rutman theory for semigroups of positive operators in a Banach lattice framework and we provide some very general, efficient and handy results with constructive estimates about: the existence of a solution to the fi
Externí odkaz:
http://arxiv.org/abs/2305.06652
Autor:
Cañizo, José A., Mischler, Stéphane
We provide simple and constructive proofs of Harris-type theorems on the existence and uniqueness of an equilibrium and the speed of equilibration of discrete-time and continuous-time stochastic semigroups. Our results apply both to cases where the r
Externí odkaz:
http://arxiv.org/abs/2110.09650
Autor:
Carrapatoso, Kleber, Dolbeault, Jean, Hérau, Frédéric, Mischler, Stéphane, Mouhot, Clément, Schmeiser, Christian
We study linear inhomogeneous kinetic equations with an external confining potential and a collision operator admitting several local conservation laws (local density, momentum and energy). We classify all special macroscopic modes (stationary soluti
Externí odkaz:
http://arxiv.org/abs/2105.04855
We establish the convergence to the equilibrium for various linear collisional kinetic equations (including linearized Boltzmann and Landau equations) with physical local conservation laws in bounded domains with general Maxwell boundary condition. O
Externí odkaz:
http://arxiv.org/abs/2102.07709
We prove functional inequalities on vector fields on the Euclidean space when it is equipped with a bounded measure that satisfies a Poincar\'e inequality, and study associated self-adjoint operators. The weighted Korn inequality compares the differe
Externí odkaz:
http://arxiv.org/abs/2012.06347
Autor:
Cañizo, José A., Mischler, Stéphane
Publikováno v:
In Journal of Functional Analysis 1 April 2023 284(7)
