Ellipsoidal BGK model for polyatomic molecules near Maxwellians: A dichotomy in the dissipation estimate |
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Authors: | Seok-Bae Yun |
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Affiliation: | Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea |
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Abstract: | 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 θ reaches zero. Accordingly, we employ two different sets of micro–macro system to derive the full coercivity and close the energy estimate. |
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Keywords: | BGK model Polyatomic gases Boltzmann equation Kinetic theory of gases Dissipation estimate |
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