Ellipsoidal BGK model for polyatomic molecules near Maxwellians: A dichotomy in the dissipation estimate

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Yun, Seok-Bae¹ 

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

关键词: BGK model;    Polyatomic gases;    Boltzmann equation;    Kinetic theory of gases;    Dissipation estimate;   

DOI  :  10.1016/j.jde.2018.10.036

来源: Elsevier

【 摘 要 】

We consider the global existence and asymptotic behavior of classical solutions to the ellipsoidal BGK model for polyatomic molecules when the initial data starts sufficiently close to a global polyatomic Maxwellian. We observe that the linearized relaxation operator is decomposed into a truly polyatomic part and an essentially monatomic part, leading to a dichotomy in the dissipative property in the sense that the degeneracy of the dissipation shows an abrupt jump as the relaxation parameter theta reaches zero. Accordingly, we employ two different sets of micro-macro system to derive the full coercivity and close the energy estimate. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free