Entropy dissipation estimates for the Boltzmann equation without cut-off
Chaker J, Silvestre L (2023)
Kinetic and Related Models.
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Chaker, JamilUniBi;
Silvestre, Luis
Abstract / Bemerkung
We prove the the entropy production of the Boltzmann equation, in the non cutoff regime, is bounded from below by a weighted Lp norm of the solution. The estimate holds for a wide range of potentials including soft po-tentials as well as very soft potentials. We discuss applications of this estimate for weak solutions of the Boltzmann equation. In particular, we obtain that weak solutions must be belong to the space L1([0, T], Lpq(Rd)) for some precise exponents p and q.
Stichworte
Boltzmann equation;
entropy dissipation;
regularity estimates;
non cutoff;
very soft potentials
Erscheinungsjahr
2023
Zeitschriftentitel
Kinetic and Related Models
ISSN
1937-5093
eISSN
1937-5077
Page URI
https://pub.uni-bielefeld.de/record/2969551
Zitieren
Chaker J, Silvestre L. Entropy dissipation estimates for the Boltzmann equation without cut-off . Kinetic and Related Models. 2023.
Chaker, J., & Silvestre, L. (2023). Entropy dissipation estimates for the Boltzmann equation without cut-off . Kinetic and Related Models. https://doi.org/10.3934/krm.2023006
Chaker, Jamil, and Silvestre, Luis. 2023. “Entropy dissipation estimates for the Boltzmann equation without cut-off ”. Kinetic and Related Models.
Chaker, J., and Silvestre, L. (2023). Entropy dissipation estimates for the Boltzmann equation without cut-off . Kinetic and Related Models.
Chaker, J., & Silvestre, L., 2023. Entropy dissipation estimates for the Boltzmann equation without cut-off . Kinetic and Related Models.
J. Chaker and L. Silvestre, “Entropy dissipation estimates for the Boltzmann equation without cut-off ”, Kinetic and Related Models, 2023.
Chaker, J., Silvestre, L.: Entropy dissipation estimates for the Boltzmann equation without cut-off . Kinetic and Related Models. (2023).
Chaker, Jamil, and Silvestre, Luis. “Entropy dissipation estimates for the Boltzmann equation without cut-off ”. Kinetic and Related Models (2023).
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