Fluid Dynamics, Non-equilibrium Gas Dynamics, Rarefied Gas Dynamics
Overview of the research
I am mainly working in the fields of the kinetic theory and fluid dynamics. Main research interest is the non-equilibrium phenomenon in fluids, especially in gases. Many interesting phenomena that are absent in fluids under the ordinary circumstances can be observed in a dilute gas.
Research Interests
Molecular Gas Dynamics
Rarefied Gas Dynamis
Fluid Mehanics
Research Areas
Aerospace, marine, and maritime Engineering, Aerospace engineering
Papers
On the thermal relaxation of a dense gas described by the modified Enskog equation in a closed system in contact with a heat bath
Shigeru Takata
Kinetic and Related Models, Apr. 2024, Peer-reviewed
Note on the summational invariant and corresponding local Maxwellian for the Enskog equation
Shigeru Takata; Aoto Takahashi
Kinetic and Related Models, 2023, Peer-reviewed, Lead author, Corresponding author
ERRATUM TO: “ON THE ENTROPIC PROPERTY OF THE ELLIPSOIDAL STATISTICAL MODEL WITH THE PRANDTL NUMBER BELOW 2/3”
Takata, S.; Hattori, M.; Miyauchi, T.
Kinetic and Related Models, 2022
Erratum: The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: Asymptotic analysis of the Boltzmann equation (Transport Theory and Statistical Physics (2001) 30:2-3 (205-237))
Takata, S.; Aoki, K.
Transport Theory and Statistical Physics, 2002
An attempt on an ES-model-based construction of a kinetic equation for a dense gas
Response to "Comment on 'Note on the relation between thermophoresis and slow uniform flow problems for a rarefied gas'" [Phys. Fluids 22, 049101 (2010)]
Bulletin of the Institute of Mathematics, Academia Sinica (New Series), 2007, Peer-reviewed, Invited
Numerical Simulation of a Knudsen pump using the effect of curvature of the channel
K. Aoki; P. Degond; L. Mieussens; M. Nishioka; S. Takata
Rarefied Gas Dynamics, M. S. Ivanov and A. K. Rebrov eds., 2007, Peer-reviewed
Gas separation effect of the pump driven by the thermal edge flow
H. Sugimoto; S. Takata; S. Kosuge
Rarefied Gas Dynamics, M. S. Ivanov and A. K. Rebrov eds., 2007, Peer-reviewed
On the stability of the vertically stratified state of a vapor-gas mixture between two parallel condensed phases
S. Takata; T. Shimada; H. Mizuno
Rarefied Gas Dynamics, M. S. Ivanov and A. K. Rebrov eds., 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
The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: Asymptotic analysis of the Boltzmann equation (vol 30, pg 205, 2001)
S Takata; K Aoki
TRANSPORT THEORY AND STATISTICAL PHYSICS, 2002, Peer-reviewed
Poiseuille-type flow of a rarefied gas between two parallel plates driven by a uniform external force
Kazuo Aoki; Shigeru Takata; Toshiyuki Nakanishi
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 2002, Peer-reviewed
Two-surface problems of a multicomponent mixture of vapors and noncondensable gases in the continuum limit in the light of kinetic theory
S Takata; K Aoki
PHYSICS OF FLUIDS, Sep. 1999, Peer-reviewed
Behavior of a vapor-gas mixture between two porallel plane condensed phases in the contiuum limit
S. Takata; K. Aoki; T. Muraki
Rarefied Gas Dynamics, edited by R. Brun et al. (Cepadues-Editions, Toulouse), 1999, Peer-reviewed
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
Evaporation from or condensation onto a sphere: Numerical analysis of the Boltzmann equation for hard-sphere molecules
S Takata; Y Sone; D Lhuillier; M Wakabayashi
COMPUTERS & MATHEMATICS WITH APPLICATIONS, Jan. 1998, Peer-reviewed
Erratum: The behavior of a gas in the continuum limit in the light of kinetic theory: The case of cylindrical Couette flows with evaporation and condensation (Phys. Fluids (1996) 8(12) (3403–3413) (10.1063/1.869125))
Yoshio Sone; Shigeru Takata; Hiroshi Sugimoto
Physics of Fluids, 1998, Peer-reviewed
Numerical analysis of a supersonic rarefied gas flow past a flat plate
K Aoki; K Kanba; S Takata
PHYSICS OF FLUIDS, Apr. 1997, Peer-reviewed
Natural convection and thermal creep flow induced along a vertical plate with a temperature gradient
S. Takata; N. Ohtsubo
Rarefied Gas Dynamics, ed. C. Shen (Peking University Press, Beijing), 1997, Peer-reviewed
Numerical analysis of a supersonic rarefied gas flow past a flat plate at an angle of attack
K. Aoki; K. Kanba; S. Takata
Rarefied Gas Dynamics, ed. C. Shen (Peking University press, Beijing), 1997, Peer-reviewed
微小系の気体力学とそのエアロゾル粒子への応用
髙田 滋
エアロゾル研究, Dec. 1996, Peer-reviewed, Invited
The behavior of a gas in the continuum limit in the light of kinetic theory: The case of cylindrical Couette flows with evaporation and condensation
Y Sone; S Takata; H Sugimoto
PHYSICS OF FLUIDS, Dec. 1996, Peer-reviewed
Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation
Y Sone; K Aoki; S Takata; H Sugimoto; AV Bobylev
PHYSICS OF FLUIDS, Feb. 1996, Peer-reviewed
Erratum: Inappropriateness of the heat‐conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation (Phys. Fluids (1996) 8(2) (628–638) (10.1063/1.868846))
Yoshio Sone; Kazuo Aoki; Shigeru Takata; Hiroshi Sugimoto; A. V. Bobylev
Physics of Fluids, 1996, Peer-reviewed
Gas Flows around a Small Particle and the Forces on It
TAKATA Shigeru
ながれ, Oct. 1995, Peer-reviewed, Invited
Gas Flows around an Aerosol Particle and Forces Acting on It -Numerical Analysis Based on the Boltzmann Equation-
FLOW INDUCED AROUND A SPHERE WITH A NONUNIFORM SURFACE-TEMPERATURE IN A RAREFIED-GAS, WITH APPLICATION TO THE DRAG AND THERMAL FORCE PROBLEMS OF A SPHERICAL-PARTICLE WITH AN ARBITRARY THERMAL-CONDUCTIVITY
S TAKATA; Y SONE
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 1995, Peer-reviewed
NUMERICAL-ANALYSIS OF A RAREFIED-GAS FLOW PAST A VOLATILE PARTICLE USING THE BOLTZMANN-EQUATION FOR HARD-SPHERE MOLECULES
Y SONE; S TAKATA; M WAKABAYASHI
PHYSICS OF FLUIDS, May 1994, Peer-reviewed
Drag and Thermal Force on a Spherical Particle in a Rarefied Gas —Effect of the Thermal Conductivity of the Particle—
Shigeru Takata; Yoshio Sone
Shinku, 1994, Peer-reviewed
THERMOPHORESIS OF A SPHERE WITH A UNIFORM TEMPERATURE - NUMERICAL-ANALYSIS OF THE BOLTZMANN-EQUATION FOR HARD-SPHERE MOLECULES
S TAKATA; K AOKI; Y SONE
RAREFIED GAS DYNAMICS: THEORY AND SIMULATIONS, 1994, Peer-reviewed
Errata: Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the s layer at the bottom of the knudsen layer [TTSP, 21, 501(1992)]
Yoshio Sone; Shigeru Takata
Transport Theory and Statistical Physics, 01 Aug. 1993, Peer-reviewed
NUMERICAL-ANALYSIS OF A UNIFORM-FLOW OF A RAREFIED-GAS PAST A SPHERE ON THE BASIS OF THE BOLTZMANN-EQUATION FOR HARD-SPHERE MOLECULES
S TAKATA; Y SONE; K AOKI
PHYSICS OF FLUIDS A-FLUID DYNAMICS, Mar. 1993, Peer-reviewed
18 P 14 Thermophoresis of a spherical aerosol particle: numerical analysis based on kinetic theory of gases
Shigeru Takata; Yoshio Sone; Kazuo Aoki
Journal of Aerosol Science, 1993, Peer-reviewed
Drag and Thermal Force on a Spherical Particle in a Rarefied Gas: Numerical Analysis for All Knudsen Numbers
Shigeru Takata; Yoshio Sone; Kazuo Aoki
Shinku/Journal of the Vacuum Society of Japan, 1992, Peer-reviewed
Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the Slayer at the Knudsen layer
Y. Sone; S. Takata
Transp. Theory Stat. Phys., 1992, Peer-reviewed
NUMERICAL-ANALYSIS OF THE PLANE COUETTE-FLOW OF A RAREFIED-GAS ON THE BASIS OF THE LINEARIZED BOLTZMANN-EQUATION FOR HARD-SPHERE MOLECULES
Y SONE; S TAKATA; T OHWADA
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 1990, Peer-reviewed
Misc.
Correction to: A Simple Kinetic Model for the Phase Transition of the van der Waals Fluid (Journal of Statistical Physics, (2018), 172, 3, (880-903), 10.1007/s10955-018-2068-z)
Shigeru Takata; Takashi Noguchi
Journal of Statistical Physics, Oct. 2021
Half-space problem of the Boltzmann equation: weak evaporation and condensation in two component system(Mathematical Analysis in Fluid and Gas Dynamics)
AM06-20-008 On the Stability of the Vertically Stratified State of a Vapor-Gas Mixture Between Two Parallel Condensed Phases
TAKATA Shigeru; SHIMADA Takeshi; MIZUNO Hideyuki
日本流体力学会年会講演論文集, 2006
Invitation to the Kinetic Theory(40th Anniversary Issue)
TAKATA Shigeru
Journal of Japan Society of Fluid Mechanics, 25 Oct. 2008
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
年会一般講演, Jul. 1997
Flow induced around a sphere with a nonuniform surface temperature in a rarefied gas, with application to the drag and thermal force problems of a spherical particle with an arbitrary thermal conductivity(Mathematical Analysis of Phenomena in fluid and Plasma Dynamics)
Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules(Mathematical Analysis of Phenomena in Fluid and Plasma Dynamics)
Vapor flows with evaporation and condensation in the continuum limit : Effect of a trace of noncondensable gas (Mathematical Analysis in Fluid and Gas Dynamics)
A rarefied gas flow caused by a discontinuous wall temperature (vol 13, pg 2645, 2001)
K Aoki; S Takata; H Aikawa; F Golse
PHYSICS OF FLUIDS, Dec. 2001
The behavior of a gas in the continuum limit in the light of kinetic theory: The case of cylindrical Couette flows with evaporation and condensation (vol 8, pg 3403, 1996)
Y Sone; S Takata; H Sugimoto
PHYSICS OF FLUIDS, May 1998
Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation (vol 8, pg 628, 1996)
Y Sone; K Aoki; S Takata; H Sugimoto; AV Bobylev
PHYSICS OF FLUIDS, Mar. 1996
Presentations
Boundary singularity of a mono-speed Lorentz model for molecules with the infinite-range potential
Shigeru Takata
Mini-symposium on “Kinetic and related equations” at the 10th International Congress on Industrial and Applied Mathematics, 21 Aug. 2023, Invited
Phase transition problem from the kinetic model I & II
Shigeru Takata
Kinetic Mini-Course, Topics in Kinetic Theory, The Chinese University of Hong Kong, 25 Nov. 2022, Invited
Rarefied gas flow around a rotating sphere: similarity solutions and its moment singularity I & II
Shigeru TAKATA
Kinetic Mini-Course, Topics in Kinetic Theory, The Chinese University of Hong Kong, 18 Nov. 2022, Invited
A kinetic model for the phase transition and its numerical simulation
Shigeru Takata
BIRS–CMO Workshop on Kinetic Equations: Recent Developments and Novel Applications, 03 Nov. 2022, Invited
A further attempt on the simple kinetic modeling of a dense gas with phase changes
Shigeru Takata
JSPS/SAC Seminar on Gas Kinetic/Dynamics and Life Science, 17 Mar. 2022, Invited
Sound waves propagating in a slightly rarefied gas I, II & A rarefied gas flow around a rotating sphere I, II
Shigeru Takata
IMS-Math Mini Course (online), The Chinese University of Hong Kong, Invited
Singular behavior of a macroscopic quantity near the boundary for the Lorentz model with the infinite-range potential
Shigeru Takata
Workshop on Kinetic Theory and Fluid Dynamics (online), 23 Nov. 2021, Invited
Singular behavior of the macroscopic quantity near the boundary for a Lorentz-gas model with the infinite-range potential
Shieru TAKATA
RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics, 07 Jul. 2021, Invited
A kinetic model of dense gases for the phase change dynamics
Shigeru TAKATA
Colloquium of the School of Mathematical Sciences (online), Shanghai Jiao Tong University, 28 May 2021, Invited
A simple kinetic modeling of dense gases and phase change dynamics
Shigeru Takata
The Distinguished Lecture Series in Mathematics (online), Capital Normal University,, 15 Apr. 2021, Invited
Some attempts on the simple kinetic modeling of dense gases with phase changes
Shigeru Takata
JSPS/SAC Seminar on Gas Kinetic/Dynamics ans Life Science (online meeting), 25 Mar. 2021, Invited
World of Molecular Gas Dynamics
Shigeru Takata
Kinetic Lecture Series (Four hours online mini-course) at The Chinese University of Hong Kong, Invited
A revisit to the Cercignani–Lampis model: Langevin picture and its numerical simulation
Shigeru Takata
INdAM workshop on Recent advances in kinetic equations and applications, 15 Nov. 2019, Invited
分子気体力学
髙田滋
集中講義「数理解析特論」, Invited
Kinetic theory for a simple modeling of phase transition
A toy model study of grazing collision effect of non-cutoff potentials
TAKATA Shigeru
The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 07 Jul. 2014, Invited
Theory of reciprocity for rarefied gases
TAKATA Shigeru
IMS PDE seminar, The Chinese University of Hong Kong, 27 Nov. 2013, Invited
Molecular Gas Dynamics: An approach to non-continuum effects in fluids
TAKATA Shigeru
Joint Colloquium of the Institute of Mathematical Science and the Department of Mathematics, The Chinese University of Hong Kong, 21 Nov. 2013, Invited
Asymptotic Analyses in Molecular Gas Dynamics: fluid-dynamic limit and some other topics
TAKATA Shigeru
IMS PDE seminar, The Chinese University of Hong Kong, 25 Oct. 2013, Invited
Elementary rarefied gas flows: thermal effects and reciprocity
TAKATA Shigeru
The Research Away Day, Ross Priority, Loch Lomond, University of Strathclyde, 06 Sep. 2013, Invited
微視的視点からの流体現象へのアプローチ
髙田 滋
日本航空宇宙学会関西支部第442回航空懇談会, 19 Jul. 2013, Invited
Some applications of symmetry relations for the steady/unsteady linearized Boltzmann equation
TAKATA Shigeru
The 6th Pacific RIM Conference on Mathematics 2013, 01 Jul. 2013, Invited
Some applications of symmetry relations for the steady/unsteady linearized Boltzmann equation
TAKATA Shigeru
The 5th Workshop on Theory and Numerics of Kinetic Equations, 13 May 2013, Invited
On a gradient singularity of flow velocity of a rarefied gas over a planar boundary
TAKATA Shigeru
Workshop on Boundary Phenomena for Evolutionary Partial Differential Equations, 19 Apr. 2013, Invited
低圧気体の世界
ライト祭, 15 Dec. 2012, 日本航空宇宙学会関西支部, Invited
Kinetic theory study of the vacuum formation in a piston motion problem
TAKATA Shigeru
Capital Normal University, 27 Aug. 2012, Invited
Symmetry relation for the linearized Boltzmann system and its applications
Workshop on Kinetic Theory and Gas Dynamics, 24 Jul. 2012, Stanford University, Invited
Singular behavior of a rarefied gas on a planar boundary
TAKATA Shigeru
Workshop on Kinetic Theory and Gas Dynamics, 17 Jul. 2012, Invited
Singular behavior of a rarefied gas on a planar boundary
TAKATA Shigeru
RIMS workshop on Mathematical Analysis in Fluid and Gas Dynamics, 04 Jul. 2012, Invited
Singular behavior of a rarefied gas on a planar boundary
14th International Conference on Hyperbolic Problems: Theory, Numerics, and Applications, 25 Jun. 2012, University of Padova
Reciprocity among elemental relaxation and driven-flow problems in the kinetic theory of gases
TAKATA Shigeru
Spring School on Kinetic Theory and Fluid Mechanics, 26 Mar. 2012, Invited
Reciprocity among elemental relaxation and driven-flow problems in the kinetic theory of gases
8th East Asia Conference on Partial Differential Equations, 19 Dec. 2011, POSTECH, Invited
Reciprocity among elemental relaxation and driven-flow problems for a rarefied gas
Workshop on Boltzmann Models in Kinetic Theory, 07 Nov. 2011, ICERN, Brown University, Invited
Symmetry of the linearized Boltzmann equation
TAKATA Shigeru
Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, 15 Sep. 2011, Invited
Asymptotic analyses in molecular gas dynamics
TAKATA Shigeru
2 hours short course, Capital Normal University, 14 Sep. 2011, Invited
Minisymposium SCPDE-M8, The 2nd International Conference on Scientific Computing and Partial Differential Equations & The First East Asia SIAM Symposium, 12 Dec. 2005, Hong Kong, Invited
Kinetic theory analysis of two-surface problem of a vapor-vapor mixture in the continuum limit
International Workshop on Kinetic Theory and Fluid Dynamics in Complex Systems, 31 Oct. 2003, The 21st Century COE Program for Research and Education on Complex Functional Mechanical Systems, Invited
蒸気・ガス混合気体の連続体極限での定常な振舞いについて
髙田 滋
北海道大学大学院工学研究科機械科学専攻, 29 Nov. 2002, Invited
非凝縮性気体を微量に含む定常な蒸気流の振舞いについて
髙田 滋
慶應義塾大学理工学部数理科学科, 22 Nov. 2002, Invited
A rarefied gas flow caused by a discontinuous wall temperature
TAKATA Shigeru
Math\'{e}matiques pour l'Industrie et la Physique, Universit\'{e} Paul Sabatier, 25 Apr. 2002, Invited
A rarefied gas flow caused by a discontinuous wall temperature
TAKATA Shigeru
S\'{e}minaire \'{e}quations aux d\'{e}riv\'{e}es partielles et analyse non-lin\'{e}aire, D\'{e}partement de Math\'{e}matiques et Applications, \'{E}cole Normale Sup\'{e}rieure, 12 Feb. 2002, Invited
Behavior of a vapor-gas mixture in the hydrodynamic limit --- Finite effect of infinitesimal quantity
Development of nonlinear nonequilibrium fluid mechanics through comprehensive integration of molecular dynamics of vapor-liquid interface and molecular gas dynamics
Grant-in-Aid for Scientific Research (A)
Osaka University
Takeru YANO
From 01 Apr. 2011, To 31 Mar. 2014, Project Closed
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
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
Kinetic-theoretic studies of the effect of sharp edges of the boundary in low-pressure gases
Grant-in-Aid for Scientific Research (C)
KYOTO UNIVERSITY
Kazuo AOKI
From 01 Apr. 1998, To 31 Mar. 2000, Project Closed
低圧気体;ボルツマン方程式;速度分布関数;特異性の伝播;クヌーセン数;気体分子運動論;希薄気体力学;平均自由行程;端的特異性;熱ほふく流, low-pressure gases;Boltzmann equation;velocity distribution function;propagation of singularities;Knudsen number;kinetic theory of gases;rarefied gas dynamics;mean free path
Grant-in-Aid for Encouragement of Young Scientists (A)
Kyoto University
高田 滋
From 01 Apr. 1995, To 31 Mar. 1996, Project Closed
Rarefied Gas Dynamics;Boltzmann Equation;Kinetic Theory;Evaporation and Condensation;Aerosol Particle;Mass and Heat Transfer;Irreversible Thermodynamics;Onsager's Reciprocity Relation
Study on characteristic motions of small particles in a gas mixture
Grant-in-Aid for Scientific Research (C)
KYOTO UNIVERSITY
Kazuo AOKI
From 01 Apr. 1995, To 31 Mar. 1997, Project Closed
熱泳動;拡散泳動;分子気体力学;ボルツマン方程式;気体分子運動論;希薄気体力学;エアロゾル粒子;拡散-泳動, Thermophoresis;Diffusophoresis;Molecular Gas Dynamics;Boltzmann Equation;Kinetic Theory of Gases;Rarefied Gas Dynamics;Aerosol Particle