日本航空宇宙学会関西支部分科会「非平衡の流体力学と分子運動論」(第1回)

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日時: 2023年3月7日(火)16:30-17:30
場所: 京都大学 桂キャンパスCクラスタ総合研究棟III(C3棟) 3階 b3n03室(航空宇宙工学専攻会議室)
講演: Kinetic shear flow governed by the Boltzmann equation
  Prof. Renjun Duan (Department of Mathematics, The Chinese University of Hong Kong, Hong Kong)
要旨: For a rarefied gas, a uniform shear flow is characterized at a macroscopic level as a state where the horizontal velocity is linear along its normal direction while the density and temperature remain spatially uniform. Due to the shearing motion that induces the viscous heat, the total energy and hence temperature monotonically increase in time. It is more fundamental to understand the change of energy under the effect of shear forces at the kinetic level where the gas motion is governed by the nonlinear Boltzmann equation. In this context, the state is defined as the one that is spatially homogeneous when the velocities of particles are referred to a Lagrangian frame moving with the given macro shearing velocity. In the talk I will present recent results on uniform shear flow via the Boltzmann equation.