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

DOI10.1007/s00220-010-1159-8zbMath1209.35094OpenAlexW1996292683MaRDI QIDQ629913

Diogo Arsénio

Publication date: 10 March 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-010-1159-8

zbMATH Keywords

Boltzmann equationmild solutionscollision operator

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boltzmann equations (35Q20)

Related Items (10)

Stability of vacuum for the Boltzmann equation with moderately soft potentials ⋮ Small data global well-posedness for a Boltzmann equation via bilinear spacetime estimates ⋮ An energy method for averaging lemmas ⋮ Well-posedness and scattering for the Boltzmann equations: soft potential with cut-off ⋮ Local well-posedness for Boltzmann's equation and the Boltzmann hierarchy via Wigner transform ⋮ On the Cauchy problem for the cutoff Boltzmann equation with small initial data ⋮ Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates ⋮ Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass ⋮ Stability of vacuum for the Landau equation with moderately soft potentials ⋮ The Boltzmann Equation over $${{\mathbb R}^{{\mathrm {D}}}}$$ R D : Dispersion Versus Dissipation

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