Basic Information

Faculty

• Faculty of Engineering

Concurrent Affiliation

• Graduate School of Engineering, 准教授

Professional Memberships

• The Japan Society of Fluid Mechanics
• Japan Society for Industrial and Applied Mathematics
• The Japan Society for Aeronautical and Space Sciences

Academic Degree

• Master of Engineering(Kyoto University)
• Doctor of Engineering(Kyoto University)

Academic Resume (Graduate Schools)

• Kyoto University, Department of Aeronautics and Astronautics, Graduate School of Engineering, 修了
• Kyoto University, Department of Aeronautics and Astronautics, Graduate School of Engineering, 修了

Research History

• From Apr. 2001, To Mar. 2007

  Kyoto University, Graduate School of Engineering, Research Associate
• From Apr. 2016, To Nov. 2017

  Kyoto University, Center for Global Leadership Engineering Education, Graduate school of Engineering, Lecturer
• From Apr. 2007, To Mar. 2016

  Kyoto University., Graduate School of Engineering, Assistant Professor

Language of Instruction

• English
• Japanese

ID,URL

• J-Global ID

  200901034060764174

researchmap URL

• https://researchmap.jp/read0057374

Research

Research Topics, Overview of the research

• Research Topics

  Study on non-equilibrium gases based on rarefied gas dynamics

• Overview of the research

  I am carrying out theoretical and numerical analyses of the Boltzmann equation, which is the basic equation in rarefied gas dynamics, and thereby investigating various phenomena related to non-equilibrium gases.

Research Interests

• ボルツマン方程式
• 希薄気体力学
• 分子気体力学
• Boltzmann equation
• Rarefied gas dynamics
• Molecular gas dynamics

Research Areas

• Manufacturing technology (mechanical, electrical/electronic, chemical engineering), Fluid engineering

Papers

• Models of boundary condition for the Boltzmann equation based on kinetic approach

  Shingo Kosuge; Kazuo Aoki; Vincent Giovangigli

  Rivista Di Matematica Della Universita Di Parma, 2024, Peer-reviewed, Lead author

  
• The Physisorbate-Layer Problem Arising in Kinetic Theory of Gas–Surface Interaction

  Kazuo Aoki; Vincent Giovangigli; François Golse; Shingo Kosuge

  Journal of Statistical Physics, May 2024, Peer-reviewed

  
• Navier–Stokes Equations and Bulk Viscosity for a Polyatomic Gas with Temperature-Dependent Specific Heats

  Shingo Kosuge; Kazuo Aoki

  Fluids, Jan. 2023, Peer-reviewed

  
• An Ellipsoidal-Statistical (ES) Model for a Polyatomic Gas with Temperature-Dependent Specific Heats

  Shingo Kosuge; Kazuo Aoki

  Springer INdAM Series, 2023, Peer-reviewed

  
• Boundary conditions for the Boltzmann equation from gas-surface interaction kinetic models

  Kazuo Aoki; Vincent Giovangigli; Shingo Kosuge

  Physical Review E, Sep. 2022, Peer-reviewed

  
• Boundary conditions for two-Temperature Navier-Stokes equations for a polyatomic gas

  Shingo Kosuge; Kazuo Aoki; Marzia Bisi; Maria Groppi; Giorgio Martalò

  Physical Review Fluids, Aug. 2021, Peer-reviewed

  
• A Note on the Steady Navier-Stokes Equations Derived from an ES-BGK Model for a Polyatomic Gas

  Kazuo Aoki; Marzia Bisi; Maria Groppi; Shingo Kosuge

  FLUIDS, Jan. 2021, Peer-reviewed

  
• Two-temperature Navier-Stokes equations for a polyatomic gas derived from kinetic theory

  Kazuo Aoki; Marzia Bisi; Maria Groppi; Shingo Kosuge

  PHYSICAL REVIEW E, Aug. 2020, Peer-reviewed

  
• A Kinetic Model for a Polyatomic Gas with Temperature-Dependent Specific Heats and Its Application to Shock-Wave Structure

  Shingo Kosuge; Hung-Wen Kuo; Kazuo Aoki

  JOURNAL OF STATISTICAL PHYSICS, Oct. 2019, Peer-reviewed

  
• Slip boundary conditions for the compressible Napier-Stokes equations for a polyatomic gas

  Hattori Masanari; Kosuge Shingo; Aoki Kazuo

  PHYSICAL REVIEW FLUIDS, 27 Jun. 2018, Peer-reviewed

  
• Shock-wave structure for a polyatomic gas with large bulk viscosity

  Shingo Kosuge; Kazuo Aoki

  Physical Review Fluids, 01 Feb. 2018, Peer-reviewed

  
• Slip Boundary Conditions for the Compressible Navier-Stokes Equations

  Kazuo Aoki; Celine Baranger; Masanari Hattori; Shingo Kosuge; Giorgio Martalo; Julien Mathiaud; Luc Mieussens

  JOURNAL OF STATISTICAL PHYSICS, Nov. 2017, Peer-reviewed

  
• Unsteady motion of a slightly rarefied gas caused by a plate oscillating in its normal direction

  Kazuo Aoki; Shingo Kosuge; Taiga Fujiwara; Thierry Goudon

  PHYSICAL REVIEW FLUIDS, Jan. 2017, Peer-reviewed

  
• Shock Wave Structure in Polyatomic Gases: Numerical Analysis Using a Model Boltzmann Equation

  Shingo Kosuge; Kazuo Aoki; Takashi Goto

  30TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS (RGD 30), 2016, Peer-reviewed

  
• Cylindrical Couette flow of a rarefied gas: Effect of a boundary condition on the inverted velocity profile

  Shingo Kosuge

  PHYSICAL REVIEW E, Jul. 2015, Peer-reviewed

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• The steady Boltzmann and Navier-Stokes equations

  K. Aoki; F. Golse; S. Kosuge

  Bulletin of the Institute of Mathematics, Academia Sinica, Jun. 2015, Peer-reviewed

  
• Numerical Analysis of the Taylor-Vortex Flow of a Slightly Rarefied Gas

  Kazuo Aoki; Ryo Kagaya; Shingo Kosuge; Hiroaki Yoshida

  PROCEEDINGS OF THE 29TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS, 2014, Peer-reviewed

  
• Effect of a Boundary Condition on the Cylindrical Couette Flow of a Rarefied Gas

  Shingo Kosuge

  PROCEEDINGS OF THE 29TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS, 2014, Peer-reviewed

  
• Unsteady flows in Io's atmosphere caused by condensation and sublimation during and after eclipse: Numerical study based on a model Boltzmann equation

  Shingo Kosuge; Kazuo Aoki; Takeshi Inoue; David B. Goldstein; Philip L. Varghese

  ICARUS, Nov. 2012, Peer-reviewed

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• Numerical Analysis of Io's Atmospheric Behavior during Eclipse Based on a Model Boltzmann Equation

  Shingo Kosuge; Kazuo Aoki

  28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012, VOLS. 1 AND 2, 2012, Peer-reviewed

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• Steady flows of a highly rarefied gas induced by nonuniform wall temperature

  Shingo Kosuge; Kazuo Aoki; Shigeru Takata; Ryosuke Hattori; Daisuke Sakai

  PHYSICS OF FLUIDS, Mar. 2011, Peer-reviewed

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• Slow evaporation and condensation on a spherical droplet in the presence of a noncondensable gas

  Shingo Kosuge; Kazuo Aoki; Masatake Hatano

  PHYSICS OF FLUIDS, Jun. 2010, Peer-reviewed

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• Model Boltzmann equation for gas mixtures: Construction and numerical comparison

  Shingo Kosuge

  EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, Jan. 2009, Peer-reviewed

  
• Influence of a Boundary Condition on Steady Flows of a Vapor Evaporating from or Condensing on Its Plane Condensed Phase

  Shingo Kosuge; Yoji Okumura

  RAREFIED GAS DYNAMICS, 2009, Peer-reviewed

  
• Database for flows of binary gas mixtures through a plane microchannel

  Shingo Kosuge; Shigeru Takata

  EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, Jul. 2008, Peer-reviewed

  
• Gas separation by means of the Knudsen compressor

  Shigeru Takata; Hiroshi Sugimoto; Shingo Kosuge

  EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, Mar. 2007, Peer-reviewed

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• Gas separation effect of the pump driven by the thermal edge flow

  H. Sugimoto; S. Takata; S. Kosuge

  25th International Symposium on Rarefied Gas Dynamics, 2007, Peer-reviewed

  
• Numerical investigation on models of the Boltzmann equation for gas mixtures

  S. Kosuge; H. Mizuno; K. Aoki

  25th International Symposium on Rarefied Gas Dynamics, 2007, Peer-reviewed

  
• Temperature, pressure, and concentration jumps for a binary mixture of vapors on a plane condensed phase: Numerical analysis of the linearized Boltzmann equation

  Shigeru Takata; Kazuo Aoki; Shugo Yasuda; Shingo Kosuge

  PHYSICS OF FLUIDS, Jun. 2006, Peer-reviewed

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• Diffusiophoresis of a spherical volatile particle

  Kazuo Aoki; Masatake Hatano; Shingo Kosuge; Shigeru Takata

  AIP Conference Proceedings, 16 May 2005, Peer-reviewed

  
• Flows of a binary mixture of rarefied gases between two parallel plates

  S Kosuge; K Sato; S Takata; K Aoki

  RAREFIED GAS DYNAMICS, 2005, Peer-reviewed

  
• Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases

  S Takata; S Yasuda; S Kosuge; K Aoki

  PHYSICS OF FLUIDS, Dec. 2003, Peer-reviewed

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• Heat transfer in a gas mixture between two parallel plates: Finite-difference analysis of the Boltzmann equation

  S. Kosuge; K. Aoki; S. Takata

  AIP Conference Proceedings, Aug. 2001, Peer-reviewed

  
• Shock-wave structure for a binary gas mixture: finite-difference analysis of the Boltzmann equation for hard-sphere molecules

  Shingo Kosuge; Kazuo Aoki; Shigeru Takata

  European Journal of Mechanics, B/Fluids, 2001, Peer-reviewed

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• Vapor flows caused by evaporation and condensation on two parallel plane surfaces: Effect of the presence of a noncondensable gas

  K Aoki; S Takata; S Kosuge

  PHYSICS OF FLUIDS, Jun. 1998, Peer-reviewed

  

Misc.

• A model Boltzmann equation for a polyatomic gas with temperature-dependent specific heats and its application to shock-wave structure

  Shingo Kosuge; Hung-Wen Kuo; Kazuo Aoki

  日本流体力学会年会2019, Sep. 2019

  
• 体積粘性率が大きい多原子分子気体における衝撃波の構造

  小菅 真吾; 青木 一生

  第５４回 日本航空宇宙学会 関西・中部支部合同秋期大会, Nov. 2017

  
• 弱希薄気体中の非線形音波伝播の数値解析

  小菅 真吾; 青木 一生; 山田 耕平

  第29回数値流体力学シンポジウム, Dec. 2015

  
• 静止平板と縦振動平板間の弱希薄気体の非定常運動

  小菅 真吾; 青木 一生; 藤原 大雅

  日本流体力学会年会2015, Sep. 2015

  
• Numerical analysis of Io's atmosphere based on a model Boltzmann equation : Unsteady behavior during eclipse

  S. Kosuge

  RIMS Kokyuroku, Apr. 2014

  
• Effect of a boundary condition on the cylindrical Couette flow of a rarefied gas

  KOSUGE Shingo

  日本流体力学会年会 2013, Sep. 2013

  
• Numerical Analysis of the Taylor–Couette Flow for a Rarefied Gas for Small Knudsen Numbers

  Kazuo AOKI; Ryo KAGAYA; Shingo KOSUGE

  日本流体力学会年会 2013, Sep. 2013

  
• イオの大気のモデル・ボルツマン方程式による数値解析：食に伴う非定常的挙動

  小菅真吾; 青木一生

  日本流体力学会年会 2012, Sep. 2012

  
• 食の間の凝縮・昇華に伴うイオの大気の非定常流：モデル・ボルツマン方程式の数値解析

  小菅真吾; 青木一生; 井上健

  日本流体力学会年会 2011, Sep. 2011

  
• 微量な非凝縮性気体がイオの大気の昇華過程に及ぼす影響:モデル・ボルツマン方程式による数値解析

  小菅真吾; 青木一生; 井上健

  数値流体力学シンポジウム講演論文集(CD-ROM), 2010

  
• Steady flows of a highly rarefied gas induced by non-uniform temperature of a boundary

  S. Kosuge; K. Aoki; S. Takata; R. Hattori; D. Sakai

  DSMC09 (Direct Simulation Monte Carlo: Theory, Methods, and Applications), Sep. 2009

  
• 境界の温度分布により誘起される高度に希薄な気体の定常流

  小菅 真吾; 青木 一生; 高田 滋; 服部 良亮; 酒井 大輔

  日本流体力学会年会講演論文集, Sep. 2009

  
• Steady flows of a highly rarefied gas induced by non-uniform temperature of a boundary

  S. Kosuge; K. Aoki; S. Takata; R. Hattori; D. Sakai

  21st International Conference on Transport Theory, Jul. 2009

  
• Model Boltzmann Equation for Gas Mixtures and Its Applications(Molecular Motion and Gas Flows)

  KOSUGE Shingo; Shingo KOSUGE; Department of Mechanical Engineering and Science Graduate School of Engineering Kyoto University:Advanced Research Institute of Fluid Science and Engineering Graduate School of Engineering Kyoto University

  Journal of Japan Society of Fluid Mechanics, Jun. 2009

  
• Construction and Numerical Comparison of the Model Boltzmann Equation for Gas Mixtures

  KOSUGE Shingo

  Proceedings, ... meeting of Japan Society of Fluid Mechanics, Sep. 2008

  
• ながれと創造教育 熱ほふく流の学生実験

  小菅真吾

  ながれ, Apr. 2007

  
• 半空間における定常蒸発・凝縮流に対する境界条件の影響

  小菅真吾; 奥村洋嗣

  数値流体力学シンポジウム講演論文集(CD-ROM), 2007

  
• 平板流路における二成分混合希薄気体の流れのデータベース

  小菅真吾; 高田滋

  日本流体力学会年会講演アブストラクト集, Sep. 2006

  
• 混合気体に対するモデル・ボルツマン方程式の数値的検討

  小菅真吾; 青木一生; 水野英如

  数値流体力学シンポジウム講演論文集(CD-ROM), 2006

  
• 熱駆動型ポンプの混合気体濃縮効果

  杉元宏; 高田滋; 小菅真吾

  日本航空宇宙学会中部・関西支部合同秋期大会講演集, 2005

  
• Numerical Analysis of Thermal-Slip and Diffusion-Slip Flows of a Binary Mixture of Gases (Mathematical Analysis in Fluid and Gas Dynamics)

  Takata Shigeru; Yasuda Shugo; Kosuge Shingo; Aoki Kazuo

  RIMS Kokyuroku, Jan. 2004

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• 2成分混合気体の熱すべり流と拡散すべり流の数値解析

  高田滋; 安田修悟; 小菅真吾; 青木一生

  流体力学講演会講演集, Sep. 2003

  
• Evaporation and condensation on a spherical droplet in the presence of a noncondensable gas

  K. Aoki; M. Hatano; S. Kosuge

  The 5th Euromech Fluid Mechanics Conference, Aug. 2003

  
• Slow Evaporation from and Condensation onto a Spherical Droplet in the Presence of a Noncondensable Gas

  AOKI Kazuo; HATANO Masatake; KOSUGE Shingo

  Proceedings, ... meeting of Japan Society of Fluid Mechanics, Jul. 2003

  
• 多成分混合気体のボルツマン方程式に対するモデル方程式の数値的検討

  小菅真吾; 水野英如; 青木一生

  数値流体力学シンポジウム講演論文集(CD-ROM), 2003

  
• 平行2平板間における2成分混合希薄気体の流れ

  小菅真吾; 佐藤賢治; 高田滋; 青木一生

  数値流体力学シンポジウム講演論文集, Dec. 2002

  
• 非平衡混合気体の挙動：ボルツマン方程式の差分解析

  小菅真吾; 青木一生; 高田滋

  日本航空宇宙学会関西・中部支部合同秋期大会講演集, 2001

  
• Heat Transfer in a Gas Mixture between Two Parallel Plates : Finite-difference Analysis of the Boltzmann Equation

  Kosuge Shingo; Aoki Kazuo; Takata Shigeru

  Proceedings, ... meeting of Japan Society of Fluid Mechanics, Jul. 2000

  
• 二成分混合気体における垂直衝撃波の構造 剛体球分子Boltzmann方程式の差分法による数値解析

  小菅真吾; 青木一生; 高田滋

  数値流体力学シンポジウム講演論文集, Dec. 1999

  
• Evaporation and Condensation between Two Parallel Condensed Phases in the Presence of a Noncondensable Gas with Special Interest in the Continuum Limit

  AOKI Kazuo; TAKATA Shigeru; KOSUGE Shingo

  日本流体力学会年会一般講演, Jul. 1997

  

Books and Other Publications

• Finite-difference methods for the Boltzmann equation for binary gas mixtures

  Kazuo Aoki; Shingo Kosuge, Contributor

  Modeling and computational methods for kinetic equations (edited by P. Degond, L. Pareschi, and G. Russo; Birkhauser),pp.147-167, 2004, Not refereed

  

Industrial Property Rights

• 特開2006-218421, 混合気体の分離方法，及び気体分離装置

  杉元宏; 高田滋; 小菅真吾; 竿田武則

  

External funds: Kakenhi

• Nonlinear slip boundary conditions for the compressible Navier-Stokes equations

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  Kazuo Aoki

  From 01 Apr. 2014, To 31 Mar. 2016, Project Closed

  ボルツマン方程式;ナヴィエ‐ストークス方程式;すべり境界条件;希薄気体力学;非平衡気体;気体分子運動論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26630051/
• Genelarized slip flow theory for stationary micro gas flows and its extension to nonstationary problems

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Shigeru TAKATA

  From 01 Apr. 2011, To 31 Mar. 2014, Project Closed

  分子流体力学;希薄気体力学;ボルツマン方程式;すべり流;一般すべり流理論;希薄気体効果;分子気体力学;2次すべり;国際研究者交流

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23360083/
• Mathematical and physical study of moving boundary problems for the Boltzmann equation

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  KAZUO AOKI

  From 01 Apr. 2011, To 31 Mar. 2014, Project Closed

  ボルツマン方程式;移動境界問題;クヌーセン層;希薄気体力学;すべり境界条件

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23360048/
• Studies on rarefied gas flows via an accurate finite-difference analysis of the Boltzmann equation

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Shingo KOSUGE

  From 01 Apr. 2009, To 31 Mar. 2012, Project Closed

  ボルツマン方程式;希薄気体力学;分子気体力学;気体分子運動論;自由分子気体;イオ;惑星大気;数値流体力学;気体分子運動諭

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21760129/
• Discontinuous boundary conditions for the Boltzmann equation And generalization of slip boundary conditions

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  Kazuo AOKI

  From 01 Apr. 2009, To 31 Mar. 2012, Project Closed

  物理数学;ボルツマン方程式;すべり境界条件;クヌーセン層;希薄気体力学;マイクロ流体力学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21656026/
• Mathematical and physical study of micro- and nano-scale gas flows on the basis of the Boltzmann equation

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Kazuo AOKI

  From 01 Apr. 2008, To 31 Mar. 2011, Project Closed

  ボルツマン方程式;気体分子運動論;マイクロ流体力学;移流拡散モデル;応用数学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20360046/
• ナノ・スケール気体流に対する新しい流体力学的モデルの構築

  Grant-in-Aid for Exploratory Research

  Kyoto University

  青木 一生

  From 01 Apr. 2005, To 31 Mar. 2008, Project Closed

  ボルツマン方程式;マイクロ・ナノ流体力学;気体分子運動論;移流拡散型モデル;均質化法;マルチスケール法;国際情報交換;フランス:中国;拡散型モデル;クヌーセン・ポンプ;中国:韓国:フランス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17656033/
• Mathematical and Physical studies on bifurcation and stability of the solution of the Boltzmann equation

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Kazuo AOKI

  From 01 Apr. 2005, To 31 Mar. 2008, Project Closed

  ボルツマン方程式;気体分子運動論;安定・不安定性;分岐理論;幽霊効果;蒸発・凝縮;円筒間クエット流;テイラー渦流;混合気体;国際研究者交流;フランス:イタリア:米国;分子気体力学;流れの安定性;流れの分岐;テイラー・クエット問題;多成分混合気体;フランス:イタリア:韓国, Boltzmann equation;Kinetic theory of gases;Stability and instability;Bifurcation theory;Ghost effect;Evaporation and condensation;Cylindrical Couette flow;Taylor vortices

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17360041/
• 非平衡混合気体の挙動についての気体論的研究

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  小菅 真吾

  From 01 Apr. 2002, To 31 Mar. 2005, Project Closed

  ボルツマン方程式;希薄気体力学;分子気体力学;気体分子運動論;混合気体;熱遷移流;拡散泳動;熱泳動;蒸発・凝縮;拡散すべり;オンサガーの相反定理

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14750115/
• MATHEMATICAL AND PHYSICAL STUDIES ON SINGULAR FLUID-DYNAMIC LIMITS FOR THE BOLTZMANN EQUATION

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY

  Kazuo AOKI

  From 01 Apr. 2002, To 31 Mar. 2005, Project Closed

  気体分子運動論;ボルツマン方程式;流体力学極限;幽霊効果;蒸発・凝縮;すべり流;テイラー渦流;ベナール対流;混合気体;分子拡散;国際研究者交流;フランス:スウェーデン:アメリカ;ポルツマン方程式;熱ほふく流;拡散すべり流;輸送係数;フランス:イタリア:スウェーデン, kinetic theory of gases;Boltzmann equation;fluid-dynamic limit;ghost effect;evaporation and condensation;slip flows;Taylor Vortices;Benard convection

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14350047/

External funds: others

• Study on a finite-difference method and models for the Boltzmann equation

  財団法人京都大学教育研究振興財団・平成１６年度海外派遣助成（長期派遣）

  From Mar. 2005, To Feb. 2006

  小菅真吾

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From Apr. 2014, To Mar. 2015

  Thermodynamics and Statistical Mechanics

  Spring, 工学部
• From Apr. 2014, To Mar. 2015

  Practice of Basic Informatics(Faculty of Engineering)

  Spring, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Molecular Gas Dynamics

  Fall, 工学研究科
• From Apr. 2015, To Mar. 2016

  Practice of Basic Informatics(Faculty of Engineering)

  Spring, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Thermodynamics and Statistical Mechanics

  Spring, 工学部
• From Apr. 2016, To Mar. 2017

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Linear Algebra with Exercises B

  Fall, 全学共通科目

Part-time lecturer

• From 01 Apr. 2011, To 20 Sep. 2011

  同志社大学
• From 01 Apr. 2012, To 20 Sep. 2012

  同志社大学
• From 01 Apr. 2013, To 20 Sep. 2013

  同志社大学
• From 01 Apr. 2014, To 30 Sep. 2014

  同志社大学
• From 01 Apr. 2015, To 30 Sep. 2015

  同志社大学

Administration

School management (title, position)

• From 01 Apr. 2024, To 31 Mar. 2025

  国際高等教育院 企画評価専門委員会 数学部会
• From 01 Apr. 2023, To 31 Mar. 2024

  国際高等教育院 企画評価専門委員会 数学部会 委員
• From 01 Apr. 2018, To 31 Mar. 2023

  国際高等教育院 企画評価専門委員会 数学部会 委員

Academic, Social Contribution

Academic Contribution

• -

  Other

  -, From 01 Apr. 2016, To 31 Mar. 2018

  
• -

  Other

  -, From 01 Apr. 2008, To 31 Mar. 2010