Monthly Archives: October 2022

分科会「非平衡流体への運動学的アプローチ」(第8回)

今回の講演会は,対面とWeb会議ツールZoomのハイブリッド形式で開催します.

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対面でご参加される方は下記の講義室へお越し下さい(フォーム記入は不要です).なお,場所は吉田キャンパスです.ご注意ください.

日時: 2022年10月28日(金)16:30-17:30
場所: 京都大学 吉田キャンパス 工学部総合校舎 111講義室 (キャンパスマップ53番の建物です)
講演: Kinetic description of polyatomic gases undergoing resonant collisions
  Prof. Francesco Salvarani (Pôle Universitaire Léonard de Vinci, France & Dipartimento di Matematica, Università di Pavia, Italy)
要旨: This talk is devoted to the study of a kinetic model describing a polyatomic gas in which the microscopic internal and kinetic energies are separately conserved during a collision process (resonant collisions). This behaviour has been observed in some physical phenomena, for example in the collisions between selectively excited CO2 molecules. After describing the model itself, we prove the related H-theorem and show that, at the equilibrium, two temperatures are expected. We moreover prove a compactness property of the corresponding linearized Boltzmann operator. The peculiar structure of resonant collision rules allows to tensorize the problem and separately treat the internal energy contributions. We also propose a geometric variant of Grad’s proof of the compactness property in the monatomic case.