Global regularity estimates for the Boltzmann equation without cut-off | Zendy

Cyril Imbert | Zendy; Luís Silvestre | Zendy

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Global regularity estimates for the Boltzmann equation without cut-off

Author(s) -

Cyril Imbert,

Luís Silvestre

Publication year - 2021

Publication title -

journal of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 8.574

H-Index - 111

eISSN - 1088-6834

pISSN - 0894-0347

DOI - 10.1090/jams/986

Subject(s) - mathematics , boltzmann equation , a priori and a posteriori , boltzmann constant , boltzmann's entropy formula , entropy (arrow of time) , boltzmann machine , mathematical analysis , statistical physics , thermodynamics , physics , philosophy , epistemology , machine learning , artificial neural network , computer science

We derive C ∞ C^\infty a priori estimates for solutions of the inhomogeneous Boltzmann equation without cut-off, conditional to pointwise bounds on their mass, energy and entropy densities. We also establish decay estimates for large velocities, for all derivatives of the solution.

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