Regularization estimates and hydrodynamical limit for the Landau equation
DOI10.1016/j.matpur.2022.05.009zbMath1491.35310arXiv2107.12044OpenAlexW3186590252MaRDI QIDQ2145839
Isabelle Tristani, Kleber Carrapatoso, Mohamad Rachid
Publication date: 15 June 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.12044
Landau equationhydrodynamical limitincompressible Navier-Stokes equationhypocoercivityshort time regularization estimates
Semigroups of nonlinear operators (47H20) Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hypoelliptic equations (35H10) Boltzmann equations (35Q20)
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Cites Work
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- Cauchy problem and exponential stability for the inhomogeneous Landau equation
- Exponential stability of slowly decaying solutions to the kinetic-Fokker-Planck equation
- Spectrum analysis of some kinetic equations
- From the Boltzmann equation to the incompressible Navier-Stokes equations on the torus: a quantitative error estimate
- Decay and continuity of the Boltzmann equation in bounded domains
- Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
- Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- From the Boltzmann equation to an incompressible Navier-Stokes-Fourier system
- Hydrodynamic limits of the Boltzmann equation
- Hypocoercivity for kinetic equations with linear relaxation terms
- The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials
- The Boltzmann equation and its applications
- Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
- The mathematical theory of dilute gases
- Dispersion relations for the linearized Fokker-Planck equation
- On the Landau approximation in plasma physics.
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
- Landau equation for very soft and Coulomb potentials near maxwellians
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- The first and second fluid approximation to the linearized Boltzmann equation
- The Landau equation in a periodic box
- Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
- Incompressible Navier-Stokes-Fourier limit from the Landau equation
- A spectral study of the linearized Boltzmann operator in \(L^2\)-spaces with polynomial and Gaussian weights
- Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
- On the convergence of smooth solutions from Boltzmann to Navier-Stokes
- On the Navier-Stokes initial value problem. I
- Incompressible navier-stokes and euler limits of the boltzmann equation
- The Navier-Stokes Problem in the 21st Century
- Hypocoercivity
- On the initial layer and the existence theorem for the nonlinear Boltzmann equation
- The fluid dynamic limit of the nonlinear boltzmann equation
- THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- From Boltzmann to incompressible Navier–Stokes in Sobolev spaces with polynomial weight
- Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions
- Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models
- Diffusive Limit of the Boltzmann Equation with Fluid Initial Layer in the Periodic Domain
- Boltzmann diffusive limit beyond the Navier‐Stokes approximation
- Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
- Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators
- From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II