## Sone, Yoshio

Compute Distance To:
 Author ID: sone.yoshio Published as: Sone, Yoshio; Sone, Y.
 Documents Indexed: 69 Publications since 1961, including 2 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 28 Co-Authors with 58 Joint Publications 486 Co-Co-Authors
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### Co-Authors

 11 single-authored 25 Aoki, Kazuo 13 Sugimoto, Hiroshi 11 Takata, Shigeru 8 Doi, Toshiyuki 8 Ohwada, Taku 6 Golse, François 4 Bardos, Claude Williams 3 Yamamoto, Kyoji 2 Handa, Masato 2 Hasegawa, Manabu 2 Nishino, Kenji 2 Onishi, Yoshimoto 2 Tanaka, Sadao 2 Wakabayashi, Masahiko 2 Waniguchi, Yorifumi 1 Bobylev, Alexandre Vasiljévitch 1 Chen, Chiun-Chuan 1 Chen, I-Kun 1 Kataoka, Takeshi 1 Kogan, Mikhail Naumovich 1 Lhuillier, Daniel 1 Liu, Tai-Ping 1 Motohashi, Hideto 1 Ogawa, Akira 1 Sato, Ko 1 Yamada, Tatsuo 1 Yamashita, Ichiro 1 Yano, Takeru
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### Serials

 14 Physics of Fluids 10 Physics of Fluids, A 8 Physics of Fluids 5 Transport Theory and Statistical Physics 5 European Journal of Mechanics. B. Fluids 4 RIMS Kokyuroku 2 Computers & Mathematics with Applications 2 Journal de Mécanique Théorique et Appliquée 2 European Journal of Mechanics. B. Fluids 2 Journal of the Physical Society of Japan 2 Modeling and Simulation in Science, Engineering and Technology 1 Communications on Pure and Applied Mathematics 1 Journal of Statistical Physics 1 Advances in Mechanics
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### Fields

 65 Fluid mechanics (76-XX) 31 Statistical mechanics, structure of matter (82-XX) 8 Classical thermodynamics, heat transfer (80-XX) 3 Partial differential equations (35-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

59 Publications have been cited 1,163 times in 531 Documents Cited by Year
Kinetic theory and fluid dynamics. Zbl 1021.76002
Sone, Yoshio
2002
Molecular gas dynamics. Theory, techniques, and applications. Zbl 1144.76001
Sone, Yoshio
2007
Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules. Zbl 0696.76092
Ohwada, Taku; Sone, Yoshio; Aoki, Kazuo
1989
Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0695.76032
Ohwada, Taku; Sone, Yoshio; Aoki, Kazuo
1989
Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0661.76082
Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo
1989
Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules. Zbl 0806.76081
Takata, Shigeru; Sone, Yoshio; Aoki, Kazuo
1993
Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory. Zbl 0721.76085
Aoki, Kazuo; Sone, Yoshio; Yamada, Tatsuo
1990
Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase. Zbl 0825.76718
Aoki, Kazuo; Nishino, Kenji; Sone, Yoshio; Sugimoto, Hiroshi
1991
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. Zbl 0793.76078
Sone, Yoshio; Takata, Shigeru
1992
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. Zbl 1027.76649
Sone, Yoshio; Aoki, Kazuo; Takata, Shigeru; Sugimoto, Hiroshi; Bobylev, A. V.
1996
Steady gas flows past bodies at small Knudsen numbers. Boltzmann and hydrodynamic systems. Zbl 0622.76082
Sone, Yoshio; Aoki, Kazuo
1987
Evaporation and condensation on a plane condensed phase: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0681.76077
Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo
1989
Numerical analysis of the plane Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0696.76089
Sone, Y.; Takata, S.; Ohwada, T.
1990
Kinetic theory of slightly strong evaporation and condensation. Hydrodynamic equation and slip boundary condition for finite Reynolds number. Zbl 1334.82005
Onishi, Yoshimoto; Sone, Yoshio
1979
Flows induced by temperature fields in a rarefied gas and their ghost effect on the behavior of a gas in the continuum limit. Zbl 0988.76087
Sone, Yoshio
2000
Analytical study of transonic flows of a gas condensing onto its plane condensed phase on the basis of kinetic theory. Zbl 0922.76235
Sone, Yoshio; Golse, François; Ohwada, Taku; Doi, Toshiyuki
1998
Half-space problems for the Boltzmann equation: a survey. Zbl 1125.82013
Bardos, Claude; Golse, François; Sone, Yoshio
2006
Thermal transpiration for the linearized Boltzmann equation. Zbl 1107.35004
Chen, Chiun-Chuan; Chen, I-Kun; Liu, Tai-Ping; Sone, Yoshio
2007
Kinetic theoretical studies of the half-space problem of evaporation and condensation. Zbl 1112.82321
Sone, Yoshio
2000
Kinetic theory analysis of gas flows condensing on a plane condensed phase: Case of a mixture of a vapor and a noncondensable gas. Zbl 0818.76087
Sone, Yoshio; Aoki, Kazuo; Doi, Toshiyuki
1992
Analysis of thermal stress slip flow and negative thermophoresis using the Boltzmann equation for hard-sphere molecules. Zbl 0775.76153
1992
Continuum gas dynamics in the light of kinetic theory and new features of rarefied gas flows. Zbl 0925.76510
Sone, Yoshio
1997
Flow of rarefied gas through a circular pipe. Zbl 0182.28506
Sone, Y.; Yamamoto, Kyoji
1968
The Bénard problem for a rarefied gas: formation of steady flow patterns and stability of array of rolls. Zbl 1185.76871
Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi
1997
Kinetic theory analysis of steady evaporating flows from a spherical condensed phase into a vacuum. Zbl 0792.76073
Sone, Yoshio; Sugimoto, Hiroshi
1993
Numerical analysis of a rarefied gas flow past a volatile particle using the Boltzmann equation for hard-sphere molecules. Zbl 0832.76087
Sone, Yoshio; Takata, Shigeru; Wakabayashi, Masahiko
1994
Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. Zbl 0973.76076
Sone, Yoshio; Bardos, Claude; Golse, François; Sugimoto, Hiroshi
2000
Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase. Zbl 1184.76523
Sone, Yoshio; Takata, Shigeru; Golse, François
2001
One-way flow of a rarefied gas induced in a channel with a periodic temperature distribution. Zbl 1027.76650
Sone, Yoshio; Waniguchi, Yorifumi; Aoki, Kazuo
1996
Evaporation from or condensation onto a sphere: Numerical analysis of the Boltzmann equation for hard-sphere molecules. Zbl 0910.76074
Takata, S.; Sone, Y.; Lhuillier, D.; Wakabayashi, M.
1998
Rarefied gas flow through a slit. Zbl 0731.76063
Hasegawa, Manabu; Sone, Yoshio
1991
New kind of boundary layers over a convex solid boundary in a rarefied gas. Zbl 0272.76046
Sone, Yoshio
1973
Evaporation of a rarefied gas from a cylindrical condensed phase into a vacuum. Zbl 1039.76520
Sone, Yoshio; Sugimoto, Hiroshi
1995
Slightly rarefied gas flow over a specularly reflecting body. Zbl 0356.76056
Sone, Yoshio; Aoki, Kazuo
1977
Flow of rarefied gas over plane wall. Zbl 0245.76063
Sone, Yoshio; Yamamoto, Kyoji
1971
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. Zbl 1027.76651
Sone, Yoshio; Takata, Shigeru; Sugimoto, Hiroshi
1996
A study of unsteady strong condensation on a plane condensed phase with special interest in formation of steady profile. Zbl 0607.76100
Sone, Yoshio; Aoki, Kazuo; Yamashita, Ichiro
1986
Numerical analysis of a flow induced in a rarefied gas between noncoaxial circular cylinders with different temperatures for the entire range of the Knudsen number. Zbl 0661.76079
Aoki, Kazuo; Sone, Yoshio; Yano, Takeru
1989
Cylindrical couette flows of a rarefied gas with evaporation and condensation: Reversal and bifurcation of flows. Zbl 1147.76503
Sone, Yoshio; Sugimoto, Hiroshi; Aoki, Kazuo
1999
Flow induced around a sphere with a non-uniform surface temperature in a rarefied gas, with application to the drag and thermal force problems of a spherical particle with an arbitrary thermal conductivity. Zbl 0843.76070
Takata, S.; Sone, Y.
1995
Ghost effect of infinitesimal curvature in the plane Couette flow of a gas in the continuum limit. Zbl 1186.76491
Sone, Yoshio; Doi, Toshiyuki
2004
A rarefied gas flow induced by a temperature field: Numerical analysis of the flow between two coaxial elliptic cylinders with different uniform temperatures. Zbl 0910.76072
Aoki, K.; Sone, Y.; Waniguchi, Y.
1998
Analytical study of bifurcation of a flow of a gas between coaxial circular cylinders with evaporation and condensation. Zbl 1184.76521
Sone, Yoshio; Doi, Toshiyuki
2000
Highly rarefied gas around a group of bodies with various temperature distributions. I. Small temperature variation. Zbl 0551.76068
Sone, Yoshio
1984
Demonstration of a one-way flow of a rarefied gas induced through a pipe without average pressure and temperature gradients. Zbl 1184.76522
Sone, Yoshio; Sato, Ko
2000
Ghost effect and bifurcation in a gas between coaxial circular cylinders with different temperatures. Zbl 1186.76492
Sone, Yoshio; Handa, Masato; Doi, Toshiyuki
2003
Erratum: Flow of rarefied gas through a circular pipe. Zbl 0198.59405
Sone, Y.; Yamamoto, Kyoji
1970
A similarity solution of the linearized Boltzmann equation with application to thermophoresis of a spherical particle. Zbl 0549.76055
Sone, Yoshio; Aoki, Kazuo
1983
The Bénard problem of rarefied gas dynamics. Zbl 0939.76579
Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi; Motohashi, Hideto
1994
Kinetic theory of evaporation and condensation for a cylindrical condensed phase. Zbl 0541.76106
Onishi, Yoshimoto; Sone, Yoshio
1983
Bifurcation of and ghost effect on the temperature field in the Bénard problem of a gas in the continuum limit. Zbl 1186.76490
Sone, Yoshio; Doi, Toshiyuki
2003
Bifurcation of a flow of a gas between rotating coaxial circular cylinders with evaporation and condensation. Zbl 1182.76891
Sone, Yoshio; Doi, Toshiyuki
2003
Evaporation and condensation of a rarefied gas between its two parallel plane condensed phases with different temperatures and negative temperature-gradient phenomenon. Numerical analysis of the Boltzmann equation for hard-sphere molecules. Zbl 0725.76079
Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo
1991
Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase. Zbl 0787.76089
Aoki, Kazuo; Nishino, Kenji; Sone, Yoshio; Sugimoto, Hiroshi
1993
Derivation of hydrodynamic limits from either the Liouville equation or kinetic models: Study of an example. Zbl 0968.82523
Aoki, Kazuo; Bardos, Claude; Golse, François; Sone, Yoshio
2000
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. Zbl 0962.76609
Takata, S.; Sone, Y.
1995
On the equilibrium solution of the Boltzmann equation. Zbl 0371.45005
Sone, Yoshio
1978
On the commencement of the Hartmann flow of conducting fluid. Zbl 0118.21702
Ogawa, Akira; Sone, Yoshio
1961
Asymptotic behavior of diffusion of tangential velocity discontinuity in rarefied gas. Zbl 0182.28702
Sone, Yoshio
1968
Molecular gas dynamics. Theory, techniques, and applications. Zbl 1144.76001
Sone, Yoshio
2007
Thermal transpiration for the linearized Boltzmann equation. Zbl 1107.35004
Chen, Chiun-Chuan; Chen, I-Kun; Liu, Tai-Ping; Sone, Yoshio
2007
Half-space problems for the Boltzmann equation: a survey. Zbl 1125.82013
Bardos, Claude; Golse, François; Sone, Yoshio
2006
Ghost effect of infinitesimal curvature in the plane Couette flow of a gas in the continuum limit. Zbl 1186.76491
Sone, Yoshio; Doi, Toshiyuki
2004
Ghost effect and bifurcation in a gas between coaxial circular cylinders with different temperatures. Zbl 1186.76492
Sone, Yoshio; Handa, Masato; Doi, Toshiyuki
2003
Bifurcation of and ghost effect on the temperature field in the Bénard problem of a gas in the continuum limit. Zbl 1186.76490
Sone, Yoshio; Doi, Toshiyuki
2003
Bifurcation of a flow of a gas between rotating coaxial circular cylinders with evaporation and condensation. Zbl 1182.76891
Sone, Yoshio; Doi, Toshiyuki
2003
Kinetic theory and fluid dynamics. Zbl 1021.76002
Sone, Yoshio
2002
Notes on the boundary conditions for fluid-dynamic equations on the interface of a gas and its condensed phase. Zbl 1184.76523
Sone, Yoshio; Takata, Shigeru; Golse, François
2001
Flows induced by temperature fields in a rarefied gas and their ghost effect on the behavior of a gas in the continuum limit. Zbl 0988.76087
Sone, Yoshio
2000
Kinetic theoretical studies of the half-space problem of evaporation and condensation. Zbl 1112.82321
Sone, Yoshio
2000
Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. Zbl 0973.76076
Sone, Yoshio; Bardos, Claude; Golse, François; Sugimoto, Hiroshi
2000
Analytical study of bifurcation of a flow of a gas between coaxial circular cylinders with evaporation and condensation. Zbl 1184.76521
Sone, Yoshio; Doi, Toshiyuki
2000
Demonstration of a one-way flow of a rarefied gas induced through a pipe without average pressure and temperature gradients. Zbl 1184.76522
Sone, Yoshio; Sato, Ko
2000
Derivation of hydrodynamic limits from either the Liouville equation or kinetic models: Study of an example. Zbl 0968.82523
Aoki, Kazuo; Bardos, Claude; Golse, François; Sone, Yoshio
2000
Cylindrical couette flows of a rarefied gas with evaporation and condensation: Reversal and bifurcation of flows. Zbl 1147.76503
Sone, Yoshio; Sugimoto, Hiroshi; Aoki, Kazuo
1999
Analytical study of transonic flows of a gas condensing onto its plane condensed phase on the basis of kinetic theory. Zbl 0922.76235
Sone, Yoshio; Golse, François; Ohwada, Taku; Doi, Toshiyuki
1998
Evaporation from or condensation onto a sphere: Numerical analysis of the Boltzmann equation for hard-sphere molecules. Zbl 0910.76074
Takata, S.; Sone, Y.; Lhuillier, D.; Wakabayashi, M.
1998
A rarefied gas flow induced by a temperature field: Numerical analysis of the flow between two coaxial elliptic cylinders with different uniform temperatures. Zbl 0910.76072
Aoki, K.; Sone, Y.; Waniguchi, Y.
1998
Continuum gas dynamics in the light of kinetic theory and new features of rarefied gas flows. Zbl 0925.76510
Sone, Yoshio
1997
The Bénard problem for a rarefied gas: formation of steady flow patterns and stability of array of rolls. Zbl 1185.76871
Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi
1997
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. Zbl 1027.76649
Sone, Yoshio; Aoki, Kazuo; Takata, Shigeru; Sugimoto, Hiroshi; Bobylev, A. V.
1996
One-way flow of a rarefied gas induced in a channel with a periodic temperature distribution. Zbl 1027.76650
Sone, Yoshio; Waniguchi, Yorifumi; Aoki, Kazuo
1996
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. Zbl 1027.76651
Sone, Yoshio; Takata, Shigeru; Sugimoto, Hiroshi
1996
Evaporation of a rarefied gas from a cylindrical condensed phase into a vacuum. Zbl 1039.76520
Sone, Yoshio; Sugimoto, Hiroshi
1995
Flow induced around a sphere with a non-uniform surface temperature in a rarefied gas, with application to the drag and thermal force problems of a spherical particle with an arbitrary thermal conductivity. Zbl 0843.76070
Takata, S.; Sone, Y.
1995
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. Zbl 0962.76609
Takata, S.; Sone, Y.
1995
Numerical analysis of a rarefied gas flow past a volatile particle using the Boltzmann equation for hard-sphere molecules. Zbl 0832.76087
Sone, Yoshio; Takata, Shigeru; Wakabayashi, Masahiko
1994
The Bénard problem of rarefied gas dynamics. Zbl 0939.76579
Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi; Motohashi, Hideto
1994
Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules. Zbl 0806.76081
Takata, Shigeru; Sone, Yoshio; Aoki, Kazuo
1993
Kinetic theory analysis of steady evaporating flows from a spherical condensed phase into a vacuum. Zbl 0792.76073
Sone, Yoshio; Sugimoto, Hiroshi
1993
Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase. Zbl 0787.76089
Aoki, Kazuo; Nishino, Kenji; Sone, Yoshio; Sugimoto, Hiroshi
1993
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. Zbl 0793.76078
Sone, Yoshio; Takata, Shigeru
1992
Kinetic theory analysis of gas flows condensing on a plane condensed phase: Case of a mixture of a vapor and a noncondensable gas. Zbl 0818.76087
Sone, Yoshio; Aoki, Kazuo; Doi, Toshiyuki
1992
Analysis of thermal stress slip flow and negative thermophoresis using the Boltzmann equation for hard-sphere molecules. Zbl 0775.76153
1992
Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase. Zbl 0825.76718
Aoki, Kazuo; Nishino, Kenji; Sone, Yoshio; Sugimoto, Hiroshi
1991
Rarefied gas flow through a slit. Zbl 0731.76063
Hasegawa, Manabu; Sone, Yoshio
1991
Evaporation and condensation of a rarefied gas between its two parallel plane condensed phases with different temperatures and negative temperature-gradient phenomenon. Numerical analysis of the Boltzmann equation for hard-sphere molecules. Zbl 0725.76079
Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo
1991
Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory. Zbl 0721.76085
Aoki, Kazuo; Sone, Yoshio; Yamada, Tatsuo
1990
Numerical analysis of the plane Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0696.76089
Sone, Y.; Takata, S.; Ohwada, T.
1990
Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules. Zbl 0696.76092
Ohwada, Taku; Sone, Yoshio; Aoki, Kazuo
1989
Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0695.76032
Ohwada, Taku; Sone, Yoshio; Aoki, Kazuo
1989
Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0661.76082
Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo
1989
Evaporation and condensation on a plane condensed phase: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0681.76077
Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo
1989
Numerical analysis of a flow induced in a rarefied gas between noncoaxial circular cylinders with different temperatures for the entire range of the Knudsen number. Zbl 0661.76079
Aoki, Kazuo; Sone, Yoshio; Yano, Takeru
1989
Steady gas flows past bodies at small Knudsen numbers. Boltzmann and hydrodynamic systems. Zbl 0622.76082
Sone, Yoshio; Aoki, Kazuo
1987
A study of unsteady strong condensation on a plane condensed phase with special interest in formation of steady profile. Zbl 0607.76100
Sone, Yoshio; Aoki, Kazuo; Yamashita, Ichiro
1986
Highly rarefied gas around a group of bodies with various temperature distributions. I. Small temperature variation. Zbl 0551.76068
Sone, Yoshio
1984
A similarity solution of the linearized Boltzmann equation with application to thermophoresis of a spherical particle. Zbl 0549.76055
Sone, Yoshio; Aoki, Kazuo
1983
Kinetic theory of evaporation and condensation for a cylindrical condensed phase. Zbl 0541.76106
Onishi, Yoshimoto; Sone, Yoshio
1983
Kinetic theory of slightly strong evaporation and condensation. Hydrodynamic equation and slip boundary condition for finite Reynolds number. Zbl 1334.82005
Onishi, Yoshimoto; Sone, Yoshio
1979
On the equilibrium solution of the Boltzmann equation. Zbl 0371.45005
Sone, Yoshio
1978
Slightly rarefied gas flow over a specularly reflecting body. Zbl 0356.76056
Sone, Yoshio; Aoki, Kazuo
1977
New kind of boundary layers over a convex solid boundary in a rarefied gas. Zbl 0272.76046
Sone, Yoshio
1973
Flow of rarefied gas over plane wall. Zbl 0245.76063
Sone, Yoshio; Yamamoto, Kyoji
1971
Erratum: Flow of rarefied gas through a circular pipe. Zbl 0198.59405
Sone, Y.; Yamamoto, Kyoji
1970
Flow of rarefied gas through a circular pipe. Zbl 0182.28506
Sone, Y.; Yamamoto, Kyoji
1968
Asymptotic behavior of diffusion of tangential velocity discontinuity in rarefied gas. Zbl 0182.28702
Sone, Yoshio
1968
On the commencement of the Hartmann flow of conducting fluid. Zbl 0118.21702
Ogawa, Akira; Sone, Yoshio
1961
all top 5

### Cited by 536 Authors

 46 Aoki, Kazuo 40 Takata, Shigeru 31 Sone, Yoshio 18 Sharipov, Felix M. 14 Taguchi, Satoshi 12 Doi, Toshiyuki 12 Struchtrup, Henning 12 Zhang, Yonghao 11 Golse, François 10 Hadjiconstantinou, Nicolas G. 10 Ohwada, Taku 10 Wu, Lei 9 Kosuge, Shingo 9 Sugimoto, Hiroshi 9 Torrilhon, Manuel 8 Liu, Tai-Ping 8 Rana, Anirudh Singh 8 Yang, Tong 8 Yoshida, Hiroaki 8 Yu, Shih-Hsien 7 Bernhoff, Niclas 7 Cercignani, Carlo 7 Duan, Renjun 7 Emerson, David R. 7 Frezzotti, Aldo 7 Graur, Irina A. 7 Gu, Xiaojun 7 Klar, Axel 7 Li, Zhihui 7 Liu, Shuangqian 7 Lockerby, Duncan A. 7 Reese, Jason M. 7 Siewert, Charles E. 7 Valougeorgis, Dimitris 7 Yang, Xiongfeng 6 Huang, Feimin 6 Tsuji, Tetsuro 6 Yasuda, Shugo 6 Yun, Seok-Bae 5 Bobylev, Alexandre Vasiljévitch 5 Degond, Pierre 5 Esposito, Raffaele 5 Kalempa, Denize 5 Kuo, Hung-Wen 5 Marra, Rossana 5 Mieussens, Luc 5 Sader, John E. 5 Sprittles, James E. 5 Tian, Qianzhu 5 Ytrehus, Tor 4 Babovsky, Hans 4 Brenner, Howard 4 Brull, Stephane 4 Chen, I-Kun 4 Filbet, Francis 4 Garcia, Roberto D. M. 4 Gibelli, Livio 4 Groppi, Maria 4 Guo, Zhaoli 4 Ha, Seung-Yeal 4 Ho, Minh Tuan 4 Kim, Chanwoo 4 Loyalka, S. K. 4 Luo, Lishi 4 Meland, Roar 4 Méolans, J. Gilbert 4 Onishi, Yoshimoto 4 Peng, Aoping 4 Shu, Chang 4 Slemrod, Marshall 4 Su, Wei 4 Titarev, Vladimir A. 4 Wang, Weike 4 Wang, Yong 4 Wu, Junlin 4 Xu, Kun 3 Asinari, Pietro 3 Barber, Robert W. 3 Bardos, Claude Williams 3 Barichello, Liliane Basso 3 Chew, Yong-Tian 3 Fan, Jing 3 Funagane, Hitoshi 3 Galkin, V. S. 3 Handa, Masato 3 Hattori, Masanari 3 Illner, Reinhard 3 Inamuro, Takaji 3 Jiang, Xinyu 3 Liu, Haihu 3 Niu, Xiaodong 3 Nouri, Anne 3 Perrier, Pierre C. 3 Perthame, Benoît 3 Polikarpov, Alexey Ph. 3 Roohi, Ehsan 3 Saint-Raymond, Laure 3 Shakhov, E. M. 3 Spiga, Giampiero 3 Stefanov, Stefan K. ...and 436 more Authors
all top 5

### Cited in 94 Serials

 91 Physics of Fluids 60 Journal of Computational Physics 41 Journal of Fluid Mechanics 39 Journal of Statistical Physics 33 European Journal of Mechanics. B. Fluids 20 Computers and Fluids 17 Archive for Rational Mechanics and Analysis 15 Transport Theory and Statistical Physics 15 Physics of Fluids, A 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Journal of Differential Equations 9 Fluid Dynamics 9 Continuum Mechanics and Thermodynamics 8 Computers & Mathematics with Applications 8 Communications in Mathematical Physics 7 International Journal of Heat and Mass Transfer 7 SIAM Journal on Mathematical Analysis 6 Kinetic and Related Models 5 Journal of Mathematical Physics 5 Physica A 5 Quarterly of Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 International Journal of Modern Physics C 4 Séminaire Laurent Schwartz. EDP et Applications 3 International Journal of Engineering Science 3 Nonlinearity 3 Physica D 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 Journal of Applied Mathematics and Mechanics 2 Mathematical Methods in the Applied Sciences 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Scientific Computing 2 Computational Mathematics and Mathematical Physics 2 Communications in Partial Differential Equations 2 Journal of Non-Equilibrium Thermodynamics 2 International Journal of Computational Fluid Dynamics 2 Nonlinear Analysis. Real World Applications 2 Networks and Heterogeneous Media 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Engineering Mathematics 1 Physics of Fluids 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 Annals of Physics 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Monte Carlo Methods and Applications 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Cubo 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Communications in Computational Physics 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Differential Equations 1 Advances in Applied Mathematics and Mechanics 1 Communications in Applied and Industrial Mathematics 1 Applied Scientific Research, Section B 1 Annals of PDE 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics
all top 5

### Cited in 20 Fields

 469 Fluid mechanics (76-XX) 223 Statistical mechanics, structure of matter (82-XX) 138 Partial differential equations (35-XX) 60 Numerical analysis (65-XX) 32 Classical thermodynamics, heat transfer (80-XX) 7 Integral equations (45-XX) 7 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)