Asymptotic stability of the relativistic Maxwellian

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
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Sprache:eng
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energy estimate
Exact sciences and technology
global classical solution
Mathematical analysis
Mathematics
Partial differential equations
relativistic Boltzmann equation
Sciences and techniques of general use
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creator Hsiao, Ling
Yu, Hongjun
description 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.
doi_str_mv 10.1002/mma.736
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source Wiley Online Library Journals Frontfile Complete
subjects energy estimate
Exact sciences and technology
global classical solution
Mathematical analysis
Mathematics
Partial differential equations
relativistic Boltzmann equation
Sciences and techniques of general use
title Asymptotic stability of the relativistic Maxwellian
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