The Vlasov–Poisson–Landau system in the weakly collisional regime
DOI10.1090/jams/1014zbMath1522.35505arXiv2104.05692OpenAlexW3155504427MaRDI QIDQ6165142
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Publication date: 31 July 2023
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.05692
Smoothness and regularity of solutions to PDEs (35B65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Motion of charged particles (78A35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
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Cites Work
- Enhanced dissipation for the 2D couette flow in critical space
- The stability of the Minkowski space for the Einstein-Vlasov system
- The stability of the Minkowski space for the Einstein-Vlasov system
- Enhanced dissipation and inviscid damping in the inviscid limit of the Navier-Stokes equations near the two dimensional Couette flow
- Well-posedness of the Lenard-Balescu equation with smooth interactions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cauchy problem and exponential stability for the inhomogeneous Landau equation
- Erratum to: ``Cauchy problem and exponential stability for the inhomogeneous Landau equation
- On the stability threshold for the 3D Couette flow in Sobolev regularity
- Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows
- Global existence and full regularity of the Boltzmann equation without angular cutoff
- The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential
- On Landau damping
- Transition threshold for the 2-D Couette flow in a finite channel
- Smoothing estimates of the Vlasov-Poisson-Landau system
- Stability of the relativistic Maxwellian in a collisional plasma
- Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
- Asymptotic behavior of degenerate linear transport equations
- Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
- Absence of shocks in an initially dilute collisionless plasma
- Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
- Spectral properties of hypoelliptic operators
- The Vlasov-Maxwell-Boltzmann system near Maxwellians
- Classical solutions to the Boltzmann equation for molecules with an angular cutoff
- Local existence, lower mass bounds, and a new continuation criterion for the Landau equation
- The Sobolev stability threshold for 2D shear flows near Couette
- Landau damping: paraproducts and Gevrey regularity
- Small data solutions of the Vlasov-Poisson system and the vector field method
- Landau equation for very soft and Coulomb potentials near maxwellians
- The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system
- Suppression of plasma echoes and Landau damping in Sobolev spaces by weak collisions in a Vlasov-Fokker-Planck equation
- Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime
- A commuting-vector-field approach to some dispersive estimates
- Enhanced dissipation and axisymmetrization of two-dimensional viscous vortices
- Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Time asymptotics for solutions of Vlasov-Poisson equation in a circle
- The Landau equation in a periodic box
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- Linear inviscid damping for the \(\beta \)-plane equation
- Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method
- Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter
- Propagation of regularity and long time behavior of the \(3D\) Massive relativistic transport equation. II: Vlasov-Maxwell system
- Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates
- Stability of vacuum for the Boltzmann equation with moderately soft potentials
- Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate
- Landau damping for analytic and Gevrey data
- Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
- Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel
- Nonlinear echoes and Landau damping with insufficient regularity
- On the linearized Vlasov-Poisson system on the whole space around stable homogeneous equilibria
- Stability of vacuum for the Landau equation with moderately soft potentials
- Linear inviscid damping and enhanced dissipation for the Kolmogorov flow
- The Vlasov-Poisson-Landau system near a local Maxwellian
- Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge
- The linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic field
- A vector field method for relativistic transport equations with applications
- Exponential decay for soft potentials near Maxwellian
- The Vlasov-Poisson-Landau system in \(\mathbb{R}^{3}_{x}\)
- One-species Vlasov-Poisson-Landau system near Maxwellians in the whole space
- Hypoelliptic second order differential equations
- On enhanced dissipation for the Boussinesq equations
- Propagation of regularity and long time behavior of \(3D\) Massive relativistic transport equation I: Vlasov-Nordström system
- Stability of vacuum for the Landau equation with hard potentials
- Stability threshold of two-dimensional Couette flow in Sobolev spaces
- Transient anomalous diffusion in Poiseuille flow
- Landau damping in relativistic plasmas
- THE VLASOV–POISSON–BOLTZMANN SYSTEM FOR SOFT POTENTIALS
- Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations
- The Vlasov-Poisson-Landau system in a periodic box
- One-species Vlasov-Poisson-Landau system for soft potentials in ℝ3
- THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF IN THE WHOLE SPACE: II, GLOBAL EXISTENCE FOR HARD POTENTIAL
- Global classical solutions of the Boltzmann equation without angular cut-off
- Plasma Oscillations with Diffusion in Velocity Space
- Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
- Landau damping
- Hypocoercivity
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Time decay for solutions to the linearized Vlasov equation
- On time decay rates in landau damping
- The Physics of Plasmas
- Landau Damping in Finite Regularity for Unconfined Systems with Screened Interactions
- Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- Global Solution and Time Decay of the Vlasov--Poisson--Landau System in $\mathbb{R}^3$
- Global Mild Solutions of the Landau and <scp>Non‐Cutoff</scp> Boltzmann Equations
- Transition Threshold for the <scp>3D</scp> Couette Flow in Sobolev Space
- Plasma Echoes Near Stable Penrose Data
- Asymptotic properties of small data solutions of the Vlasov-Maxwell system in high dimensions
- Linearized Wave-Damping Structure of Vlasov--Poisson in $\mathbb{R}^3$
- Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
- The Sobolev stability threshold of 2D hyperviscosity equations for shear flows near Couette flow
- Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions
- (Ir)reversibility and Entropy
- Almost Exponential Decay Near Maxwellian
- On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem
- On the Linearized Balescu–Lenard Equation
- On the Cauchy problem of the Boltzmann and Landau equations with soft potentials
- Effect of Coulomb Collisions and Microturbulence on the Plasma Wave Echo