Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff

DOI10.1016/j.crma.2010.07.008zbMath1200.35296OpenAlexW2017998420MaRDI QIDQ990238

Tong Yang, Chao-Jiang Xu, Seiji Ukai, Radjesvarane Alexandre, Yoshinori Morimoto

Publication date: 6 September 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.07.008

zbMATH Keywords

Boltzmann equationcollisionMaxwellian molecules

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (8)

A new regularization mechanism for the Boltzmann equation without cut-off ⋮ The Boltzmann equation without angular cutoff ⋮ The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential ⋮ On measure solutions of the Boltzmann equation. I: Moment production and stability estimates ⋮ 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 Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions ⋮ Entropy Dissipation Estimates for the Landau Equation: General Cross Sections

Cites Work

• Global existence and full regularity of the Boltzmann equation without angular cutoff
• Uncertainty principle and kinetic equations
• Regularity of solutions for the Boltzmann equation without angular cutoff
• Entropy dissipation and long-range interactions
• The Boltzmann equation in the whole space
• Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators

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