Global classical solution to the inelastic Boltzmann equation with potential force

Global classical solution to the inelastic Boltzmann equation with potential force

In this paper, motivated by Guo [Commun. Math. Phys. 218(2), 293–313 (2001)], we construct the global classical solution to the inelastic Boltzmann equation with potential force by using the standard contraction mapping theorem. Moreover, the dispersion estimates of the solution are obtained.

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Veröffentlicht in:Journal of mathematical physics 2017-08, Vol.58 (8), p.1
Hauptverfasser: Wang, Xiaolong, Jiang, Zhenglu
Format: Artikel
Sprache:eng
Schlagworte:
Boltzmann transport equation
Dispersion
Estimates
Mathematical analysis
Physics
Solutions
Theorems
Thermodynamics
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Zusammenfassung:In this paper, motivated by Guo [Commun. Math. Phys. 218(2), 293–313 (2001)], we construct the global classical solution to the inelastic Boltzmann equation with potential force by using the standard contraction mapping theorem. Moreover, the dispersion estimates of the solution are obtained.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4998710