Local Existence for the Landau Equation with Hard Potentials

DOI10.1137/22m1490107zbMath1526.35004arXiv1910.11866OpenAlexW2981663203MaRDI QIDQ6083933

Sanchit Chaturvedi

Publication date: 31 October 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11866

zbMATH Keywords

local existencemoment lossvelocity weightsweighted hierarchy of norms

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

• 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
• Regularizing effect and local existence for the non-cutoff Boltzmann equation
• Stability of the relativistic Maxwellian in a collisional plasma
• 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 Landau equation in a periodic box
• Local well-posedness of the Boltzmann equation with polynomially decaying initial data
• Local existence with mild regularity for the Boltzmann equation
• The Vlasov-Poisson-Landau system in \(\mathbb{R}^{3}_{x}\)
• The Vlasov-Poisson-Landau system in a periodic box
• 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
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians
• 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
• Gaussian Bounds for the Inhomogeneous Landau Equation with Hard Potentials
• Almost Exponential Decay Near Maxwellian

This page was built for publication: Local Existence for the Landau Equation with Hard Potentials