Regularity of solutions to the spatially homogeneous Boltzmann equation for non Maxwellian molecules without angular cutoff
DOI10.1016/J.NA.2008.10.099zbMath1180.35403OpenAlexW2083453833MaRDI QIDQ1021764
Publication date: 9 June 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.10.099
regularityBoltzmann equationpseudo-differential operatorsnon-cutoffMaxwellian moleculesDebye-Yukawa potential
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Biochemistry, molecular biology (92C40) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boltzmann equations (35Q20)
Cites Work
- Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
- On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
- Entropy dissipation and long-range interactions
- Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
- About the regularizing properties of the non-cut-off Kac equation
- Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff
- Integral estimates for a linear singular operator linked with the Boltzmann operator: Part I: Small singularities $0 less than u less than 1$
- Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules
- LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES
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