Solving Landau equation for some soft potentials through a probabilistic approach.

DOI10.1214/aoap/1050689592zbMath1070.82027OpenAlexW1891865952MaRDI QIDQ1413678

Hélène Guérin

Publication date: 17 November 2003

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1050689592

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items

Local existence, lower mass bounds, and a new continuation criterion for the Landau equation, Quantitative propagation of chaos for generalized Kac particle systems, Estimates for the density of a nonlinear Landau process, Spectral gap and exponential convergence to equilibrium for a multi-species Landau system, Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules, Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials, Global in time estimates for the spatially homogeneous Landau equation with soft potentials, Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential, Some a priori estimates for the homogeneous Landau equation with soft potentials, Pointwise convergence of Boltzmann solutions for grazing collisions in a Maxwell gas via a probabilitistic interpretation, Well-posedness of the spatially homogeneous Landau equation for soft potentials, Measurability of optimal transportation and convergence rate for Landau type interacting particle systems, Uniqueness of bounded solutions for the homogeneous relativistic Landau equation with Coulomb interactions, Entropy dissipation estimates for the Landau equation in the Coulomb case and applications

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