Large time asymptotics for Fermi-Dirac statistics coupled to a Poisson equation
DOI10.1007/s40324-022-00303-3zbMath1520.82034OpenAlexW4290721620WikidataQ113898577 ScholiaQ113898577MaRDI QIDQ6055838
Publication date: 29 September 2023
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-022-00303-3
rate of convergenceconvergence to equilibriumVlasov equationconfinementlarge-time behaviorPoisson couplingVlasov-Poisson-Fokker-Planck systemhypocoercivityelectrostatic forcesFokker-Planck operatorFermi Dirac operator
Estimates of eigenvalues in context of PDEs (35P15) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hypoelliptic equations (35H10) Integro-partial differential equations (35R09) Fokker-Planck equations (35Q84)
Cites Work
- Unnamed Item
- Energy method for Boltzmann equation
- Global classical solutions for quantum kinetic Fokker-Planck equations
- Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian
- Hypocoercivity for kinetic equations with linear relaxation terms
- Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics
- Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states)
- Spectral properties of hypoelliptic operators
- Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit
- Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system
- Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system
- Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space
- 1D nonlinear Fokker-Planck equations for fermions and bosons
- Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
- Hypoelliptic second order differential equations
- On global existence and trend to the equilibrium for the Vlasov-Poisson-Fokker-Planck system with exterior confining potential
- Global Classical Solutions for the Vlasov–Maxwell–Fokker–Planck System
- Hypocoercivity
- Hypocoercivity for linear kinetic equations conserving mass
- Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
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