Asymptotic stability of the relativistic Maxwellian | Zendy

Hsiao Ling | Zendy; Yu Hongjun | Zendy

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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.

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