Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules
DOI10.3934/krm.2020033zbMath1451.35154arXiv1910.13600OpenAlexW3047020239MaRDI QIDQ2208697
Chao-Jiang Xu, Yoshinori Morimoto
Publication date: 3 November 2020
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13600
analytic smoothing effectLandau equationmicrolocal analysisMaxwellian moleculestime integral weight of exponential type
Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Analyticity in context of PDEs (35A20) Statistical mechanics of plasmas (82D10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20) PDEs in connection with statistical mechanics (35Q82) Transport equations (35Q49)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On some properties of the Landau kinetic equation
- Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation
- Cauchy problem and exponential stability for the inhomogeneous Landau equation
- Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff
- Global existence and full regularity of the Boltzmann equation without angular cutoff
- Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff
- The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions
- Regularizing effect and local existence for the non-cutoff Boltzmann equation
- Optimal convergence rates of Landau equation with external forcing in the whole space
- Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
- Ultra-analytic effect of Cauchy problem for a class of kinetic equations
- On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
- On the Landau approximation in plasma physics.
- Entropy dissipation and long-range interactions
- Landau equation for very soft and Coulomb potentials near maxwellians
- Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials
- The Landau equation in a periodic box
- From particle systems to the Landau equation: a consistency result
- Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
- Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules
- \(C^\infty\) smoothing for weak solutions of the inhomogeneous Landau equation
- Well-posedness of Cauchy problem for Landau equation in critical Besov space
- Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
- Entropy dissipation estimates for the Landau equation in the Coulomb case and applications
- A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation
- Exponential decay for soft potentials near Maxwellian
- On asymptotics of the Boltzmann equation when the collisions become grazing
- On Boltzmann and Landau equations
- Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
- On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
- On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
This page was built for publication: Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules
