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arxiv: 1708.05082 · v1 · pith:YIHNIJFWnew · submitted 2017-08-16 · 🧮 math.AP

On a Positive decomposition of entropy production functional for the polyatomic BGK model

classification 🧮 math.AP
keywords polyatomicmodelellipsoidalentropyfunctionalproductionapplicationscompactness
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In this paper, we show that the entropy production functional for the polyatomic ellipsoidal BGK model can be decomposed into two non-negative parts. Two applications of this property: the $H$-theorem for the polyatomic BGK model and the weak compactness of the polyatomic ellipsoidal relaxation operator, are discussed.

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