Numerical and analytical studies on gas flows caused by the phase transtion

2009 Fiscal Year Self-evaluation Report

• Project/Area Number: 19560066
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Engineering fundamentals
• Research Institution: Kyoto University
• Principal Investigator: TAKATA Shigeru Kyoto University, 大学院・工学研究科, 准教授 (60271011)
• Project Period (FY): 2007 – 2010
• Keywords: 気体分子運動論 / 分子気体力学 / ボルツマン方程式 / 相変化 / 真空 / 対称性

Research Abstract

本研究では,相変化によって起こる気体流の数理的構造を理解するために,とくに,その半無限境界値問題に主要な焦点を当てている.具体的には,凝縮相からの非定常蒸発流の振舞いにおいて代表者が予測した新しい型の振舞い(凝縮相に隣接する気体論的境界層,2つの膨張波の形成,およびその間の真空領域の形成)を立証することを主な目的とする.

Research Products

• [Journal Article] Note on the relation between thermophoresis and slow uniform flow problems for a rarefied gas (2009)
  • Author(s): S. Takata
  • Journal Title: Phys. Fluids 21(11) Pages: 112001
  • Peer Reviewed
• [Journal Article] Symmetry of the linearized Boltzmann equation II. Entropy production and Onsager-Casimir relation (2009)
  • Author(s): S. Takata
  • Journal Title: J. Stat. Phys. 136(5) Pages: 945-983
  • Peer Reviewed
• [Journal Article] Symmetry of the linearized Boltzmann equation and its application (2009)
  • Author(s): S. Takata
  • Journal Title: J. Stat. Phys. 136(4) Pages: 751-784
  • Peer Reviewed
• [Journal Article] On the long time behavior of gas flows by evaporation from a plane condensed phase (2008)
  • Author(s): S. Takata
  • Journal Title: Bulletin of the Institute of Mathematics, Academia Sinica (New Series) 3(1) Pages: 115-147
  • Peer Reviewed
• [Presentation] Symmetry of the linearized Boltzmann equation and the Onsager-Casimir relation (2009)
  • Author(s): S. Takata
  • Organizer: 2009 NIMS Hot Topics Workshop on Kinetic Theory and Fluid Dynamics, Seoul National University
  • Place of Presentation: Seoul (Korea)
  • Year and Date: 20091022-20091024
• [Presentation] Symmetry of the linearized Boltzmann equation, Modern Topics in Nonlinear Kinetic Equations, Department of Applied Mathematics and Theoretical Physics (2009)
  • Author(s): S. Takata
  • Organizer: University of Cambridge
  • Place of Presentation: Cambridge (UK)
  • Year and Date: 20090420-20090422
• [Presentation] Symmetry of the linearized Boltzmann equation, 2009 Workshop on Kinetic Theory, Institute of Mathematics (2009)
  • Author(s): S. Takata
  • Organizer: Academia Sinica
  • Place of Presentation: Taipei (Taiwan)
  • Year and Date: 20090321-20090323
• [Presentation] 分子気体力学における解析と数値計算, CompView GCOE Symposium「Workshopl : 偏微分方程式の理論と実践-流体解析を中心として」 (2009)
  • Author(s): 高田滋
  • Organizer: 東京工業大学
  • Place of Presentation: 目黒区
  • Year and Date: 2009-12-03
• [Presentation] 分子気体力学による流体力学極限の研究とその応用, 2008年春季第55回応用物理学関係連合講演会 日本真空協会企画シンポジウム「真空中の気体の流れ」 (2008)
  • Author(s): 高田滋
  • Organizer: 日本大学理工学部
  • Place of Presentation: 船橋キャンパス, 船橋市
  • Year and Date: 2008-03-27