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Stability of vacuum for the Landau equation with moderately soft potentials - MaRDI portal

Stability of vacuum for the Landau equation with moderately soft potentials (Q2273648)

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Language	Label	Description	Also known as
English	Stability of vacuum for the Landau equation with moderately soft potentials	scientific article

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scholarly article

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Stability of vacuum for the Landau equation with moderately soft potentials (English)

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publication date

24 September 2019

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full work available at URL

https://arxiv.org/abs/1807.07551

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zbMATH Keywords

Landau equation

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small data

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MaRDI profile type

MaRDI publication profile

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Entropy dissipation and long-range interactions

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THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF IN THE WHOLE SPACE: II, GLOBAL EXISTENCE FOR HARD POTENTIAL

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Global existence and full regularity of the Boltzmann equation without angular cutoff

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The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential

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On the Landau approximation in plasma physics.

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Some a priori estimates for the homogeneous Landau equation with soft potentials

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Regularizing effect and local existence for the non-cutoff Boltzmann equation

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Bounded solutions of the Boltzmann equation in the whole space

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Local existence with mild regularity for the Boltzmann equation

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Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section

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On the global existence of mild solutions to the Boltzmann equation for small data in \(L^D\)

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Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data

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Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass

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On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability

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Asymptotic properties of small data solutions of the Vlasov-Maxwell system in high dimensions

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Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials

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Landau equation for very soft and Coulomb potentials near maxwellians

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Cauchy problem and exponential stability for the inhomogeneous Landau equation

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Erratum to: ``Cauchy problem and exponential stability for the inhomogeneous Landau equation''

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Smoothing effects for classical solutions of the full Landau equation

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Entropy dissipation estimates for the Landau equation in the Coulomb case and applications

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On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

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On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications

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A vector field method for relativistic transport equations with applications

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Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential

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Well-posedness of the spatially homogeneous Landau equation for soft potentials

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Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data

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Absence of shocks in an initially dilute collisionless plasma

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Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

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The Boltzmann Equation over $${{\mathbb R}^{{\mathrm {D}}}}$$ R D : Dispersion Versus Dissipation

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Generalized Invariant Sets for the Boltzmann Equation

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A non-local inequality and global existence

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Global classical solutions of the Boltzmann equation without angular cut-off

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Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential

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The Vlasov-Poisson-Boltzmann system near vacuum

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The Landau equation in a periodic box

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The Vlasov‐Poisson‐Boltzmann system near Maxwellians

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Classical solutions to the Boltzmann equation for molecules with an angular cutoff

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The Vlasov-Maxwell-Boltzmann system near Maxwellians

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The Vlasov-Poisson-Landau system in a periodic box

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Existence in the large and asymptotic behaviour for the Boltzmann equation

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Well-posedness and scattering for the Boltzmann equations: soft potential with cut-off

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\(C^\infty\) smoothing for weak solutions of the inhomogeneous Landau equation

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Local existence, lower mass bounds, and a new continuation criterion for the Landau equation

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The Boltzmann equation: global existence for a rare gas in an infinite vacuum

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The Schauder estimate in kinetic theory with application to a toy nonlinear model

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Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

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Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge

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On Boltzmann and Landau equations

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Classical solution of the nonlinear Boltzmann equation in all \({\mathbb{R}}^ 3\): asymptotic behavior of solutions.

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Upper bounds for parabolic equations and the Landau equation

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Small data solutions of the Vlasov-Poisson system and the vector field method

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Asymptotic stability for odd perturbations of the stationary kink in the variable-speed 𝜙⁴ model

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Stability of the relativistic Maxwellian in a collisional plasma

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Almost Exponential Decay Near Maxwellian

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Exponential decay for soft potentials near Maxwellian

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The Vlasov-Poisson-Landau system in \(\mathbb{R}^{3}_{x}\)

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The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system

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On the nonlinear Boltzmann equation in unbounded domains

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Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian

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ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES

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On the Cauchy problem for Landau equations: Sequential stability, global existence

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On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations

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A commuting-vector-field approach to some dispersive estimates

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Global in time estimates for the spatially homogeneous Landau equation with soft potentials

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Identifiers

zbMATH Open document ID

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10.1007/s40818-019-0067-2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2273648

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