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Asymptotic stability of the relativistic Maxwellian
Author(s) -
Hsiao Ling,
Yu Hongjun
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.736
Subject(s) - mathematics , stability (learning theory) , negativity effect , boltzmann equation , kernel (algebra) , space (punctuation) , mathematical physics , scattering , mathematical analysis , physics , pure mathematics , quantum mechanics , computer science , psychology , social psychology , machine learning , operating system
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.