Solutions with increasing energy for the spatially homogeneous Boltzmann equation

DOI10.1016/S1468-1218(01)00026-8zbMath1018.82015OpenAlexW2046589918MaRDI QIDQ1612637

Xuguang Lu, Bernt Wennberg

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(01)00026-8

zbMATH Keywords

weak solutionsmoment estimatesnonuniquenessenergy growthspatially homogeneous Boltzmann equationPovzner inequalitynon-cutoff equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items

Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions, Supports of measure solutions for spatially homogeneous Boltzmann equations, On the well-posedness of the spatially homogeneous Boltzmann equation with a moderate angular singularity, Kac's program in kinetic theory, Large deviations of Kac's conservative particle system and energy nonconserving solutions to the Boltzmann equation: a counterexample to the predicted rate function, Large deviations for a binary collision model: energy evaporation, Vanishing angular singularity limit to the hard-sphere Boltzmann equation, Discrete fragmentation with mass loss, On measure solutions of the Boltzmann equation. I: Moment production and stability estimates, Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff, Probability Approaches to Spatially Homogeneous Boltzmann Equations, Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum

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