Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation
From MaRDI portal
Publication:1661413
DOI10.1007/s40818-017-0036-6zbMath1397.35024arXiv1704.00425OpenAlexW2604223033MaRDI QIDQ1661413
Publication date: 16 August 2018
Published in: Annals of PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.00425
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Resonance in context of PDEs (35B34) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
Related Items
Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes ⋮ Stirring speeds up chemical reaction ⋮ Linearized Wave-Damping Structure of Vlasov--Poisson in $\mathbb{R}^3$ ⋮ Vlasov–Fokker–Planck equation: stochastic stability of resonances and unstable manifold expansion ⋮ Stability threshold of Couette flow for 2D Boussinesq equations in Sobolev spaces ⋮ Landau damping on the torus for the Vlasov-Poisson system with massless electrons ⋮ Orientation mixing in active suspensions ⋮ The Vlasov–Poisson–Landau system in the weakly collisional regime ⋮ A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model ⋮ Nonlinear echoes and Landau damping with insufficient regularity ⋮ Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit ⋮ Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit ⋮ \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system ⋮ On linear damping around inhomogeneous stationary states of the Vlasov-HMF model ⋮ The linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic field ⋮ Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation ⋮ Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions ⋮ Phase mixing for solutions to 1D transport equation in a confining potential
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the stability threshold for the 3D Couette flow in Sobolev regularity
- Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows
- On Landau damping
- Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on \(\mathbb R^2\)
- Regularizing effect and local existence for the non-cutoff Boltzmann equation
- Smoothing effects for classical solutions of the full Landau equation
- Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
- Regularity of the moments of the solution of a transport equation
- The Sobolev stability threshold for 2D shear flows near Couette
- Landau damping: paraproducts and Gevrey regularity
- Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- A real space method for averaging lemmas
- Time asymptotics for solutions of Vlasov-Poisson equation in a circle
- The Landau equation in a periodic box
- Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations
- Diffusion and mixing in fluid flow
- Averaging and spectral properties for the 2D advection-diffusion equation in the semi-classical limit for vanishing diffusivity
- Transient anomalous diffusion in Poiseuille flow
- Nonlinear Dynamics of Anisotropic Disturbances in Plane Couette Flow
- Landau damping in relativistic plasmas
- Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations
- A Vlasov equation with Dirac potential used in fusion plasmas
- The Vlasov-Poisson-Landau system in a periodic box
- Quasineutral limit for Vlasov-Poisson with Penrose stable data
- Hydrodynamic Stability Without Eigenvalues
- Plasma Oscillations with Diffusion in Velocity Space
- Electrostatic Instabilities of a Uniform Non-Maxwellian Plasma
- Diffusion in Fluid Flow: Dissipation Enhancement by Flows in 2D
- How rapidly is a passive scalar mixed within closed streamlines?
- A limiting case for velocity averaging
- On stability of streamwise streaks and transition thresholds in plane channel flows
- The Physics of Plasmas
- A mostly linear model of transition to turbulence
- Landau Damping in Finite Regularity for Unconfined Systems with Screened Interactions
- On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem
- Effect of Coulomb Collisions and Microturbulence on the Plasma Wave Echo
- The null condition for quasilinear wave equations in two space dimensions. I
- Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow
