Entropy production estimates for the polyatomic ellipsoidal BGK model. (August 2016)

• Record Type: Journal Article
• Authors: Park, Sa Jun; Yun, Seok-Bae
• Is Part Of: Applied mathematics letters. Volume 58(2016:Aug.)
• Page Start: 26
• Page End: 33
• Publication Date: 2016-08
• Subjects: Ellipsoidal BGK model -- Polyatomic gases -- Boltzmann equation -- Kinetic theory of gases -- Entropy production estimates; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.01.021
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We study the entropy production estimate for the polyatomic ellipsoidal BGK model, which is a relaxation type kinetic model describing the time evolution of polyatomic particle systems. An interesting dichotomy is observed between 0 < θ ≤ 1 and θ = 0 : In each case, distinct target Maxwellians should be chosen to estimate the entropy production functional from below by the relative entropy. The time asymptotic equilibrium state toward which the distribution function stabilizes bifurcates accordingly.