Asymptotic stability of the relativistic Maxwellian

Global classical solutions near the relativistic Maxwellian are constructed for the relativistic Boltzmann equation in both a periodic box and the whole space. For both cases, we are able to get the non‐negativity of the global solution under less restriction than in (Publ. Res. Inst. Math. Sci. 199...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2006-09, Vol.29 (13), p.1481-1499
Hauptverfasser:	Hsiao, Ling, Yu, Hongjun
Format:	Artikel
Sprache:	eng
Schlagworte:	energy estimate Exact sciences and technology global classical solution Mathematical analysis Mathematics Partial differential equations relativistic Boltzmann equation Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Global classical solutions near the relativistic Maxwellian are constructed for the relativistic Boltzmann equation in both a periodic box and the whole space. For both cases, we are able to get the non‐negativity of the global solution under less restriction than in (Publ. Res. Inst. Math. Sci. 1993; 29:301–347) on the scattering kernel. Copyright © 2006 John Wiley & Sons, Ltd.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.736