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
|
A consistent BGK-type model for gas mixtures. Zbl 1001.82093
Andries, Pierre; Aoki, Kazuo; Perthame, Benoit |
|
2002
|
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
|
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
|
Knudsen layer for gas mixtures. Zbl 1124.82314
Aoki, Kazuo; Bardos, Claude; Takata, Shigeru |
|
2003
|
The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: asymptotic analysis of the Boltzmann equation. Zbl 1106.82359
Takata, Shigeru; Aoki, Kazuo |
|
2001
|
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François |
|
2011
|
Shock-wave structure for a binary gas mixture: Finite difference analysis of the Boltzmann equation for hard-sphere molecules. Zbl 0980.76078
Kosuge, Shingo; Aoki, Kazuo; Takata, Shigeru |
|
2001
|
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 thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases. Zbl 1186.76516
Takata, Shigeru; Yasuda, Shugo; Kosuge, Shingo; Aoki, Kazuo |
|
2003
|
Gas flows caused by evaporation and condensation on two parallel condensed phases and the negative temperature gradient: Numerical analysis by using a nonlinear kinetic equation. Zbl 0826.76081
Aoki, Kazuo; Masukawa, Noboru |
|
1994
|
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
|
Two-surface problems of a multicomponent mixture of vapors and noncondensable gases in the continuum limit in the light of kinetic theory. Zbl 1149.76559
Takata, Shigeru; Aoki, Kazuo |
|
1999
|
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
|
A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033
Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François |
|
2001
|
A kinetic model for a polyatomic gas with temperature-dependent specific heats and its application to Shock-wave structure. Zbl 1448.76136
Kosuge, Shingo; Kuo, Hung-Wen; Aoki, Kazuo |
|
2019
|
Moving boundary problems for a rarefied gas: spatially one-dimensional case. Zbl 1349.82059
Tsuji, Tetsuro; Aoki, Kazuo |
|
2013
|
A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014
Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François |
|
2001
|
Vapor flows with evaporation and condensation in the continuum limit: Effect of a trace of noncondensable gas. Zbl 1175.76142
Aoki, Kazuo; Takata, Shigeru; Taguchi, Satoshi |
|
2003
|
On the motion of a body in thermal equilibrium immersed in a perfect gas. Zbl 1133.76046
Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario |
|
2008
|
Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134
Tsuji, Tetsuro; Aoki, Kazuo; Golse, François |
|
2010
|
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 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
|
Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168
Aoki, Kazuo; Degond, Pierre; Mieussens, Luc |
|
2009
|
Diffusion models for Knudsen compressors. Zbl 1182.76027
Aoki, Kazuo; Degond, Pierre; Takata, Shigeru; Yoshida, Hiroaki |
|
2007
|
Slightly rarefied gas flow over a specularly reflecting body. Zbl 0356.76056
Sone, Yoshio; Aoki, Kazuo |
|
1977
|
Numerical analysis of the shear flow of a binary mixture of hard-sphere gases over a plane wall. Zbl 1186.76586
Yasuda, Shugo; Takata, Shigeru; Aoki, Kazuo |
|
2004
|
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
|
Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. I: Subsonic condensation. Zbl 1185.76362
Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru |
|
2003
|
Slip boundary conditions for the compressible Navier-Stokes equations. Zbl 1383.82045
Aoki, Kazuo; Baranger, Céline; Hattori, Masanari; Kosuge, Shingo; Martalò, Giorgio; Mathiaud, Julien; Mieussens, Luc |
|
2017
|
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
|
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
|
Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. II: Supersonic condensation. Zbl 1186.76514
Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru |
|
2003
|
Evaporation and condensation of a binary mixture of vapors on a plane condensed phase: numerical analysis of the linearized Boltzmann equation. Zbl 1187.76580
Yasuda, Shugo; Takata, Shigeru; Aoki, Kazuo |
|
2005
|
Decay of a linear pendulum in a free-molecular gas and in a special Lorentz gas. Zbl 1245.82066
Tsuji, Tetsuro; Aoki, Kazuo |
|
2012
|
Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Zbl 1314.35077
Aoki, Kazuo; Pulvirenti, Mario; Simonella, Sergio; Tsuji, Tetsuro |
|
2015
|
Homogenization of a flow in a periodic channel of small section. Zbl 1107.76060
Aoki, K.; Degond, P. |
|
2003
|
Various transport coefficients occurring in binary gas mixtures and their database. Zbl 1062.76591
Takata, Shigeru; Yasuda, Shugo; Aoki, Kazuo; Shibata, Takumi |
|
2003
|
Shock wave structure for polyatomic gases with large bulk viscosities. Zbl 1475.82020
Aoki, Kazuo; Kosuge, Shingo |
|
2018
|
Fluid modeling for the Knudsen compressor: case of polyatomic gases. Zbl 1203.82074
Takata, Shigeru; Funagane, Hitoshi; Aoki, Kazuo |
|
2010
|
Rarefied gas flow around a sharp edge induced by a temperature field. Zbl 1250.76147
Taguchi, Satoshi; Aoki, Kazuo |
|
2012
|
Poiseuille flow and thermal transpiration of a rarefied polyatomic gas through a circular tube with applications to microflows. Zbl 1431.76110
Funagane, Hitoshi; Takata, Shigeru; Aoki, Kazuo; Kugimoto, Ko |
|
2011
|
A numerical and experimental investigation of the modeling of microwave heating for liquid layers using a rectangular wave guide (effects of natural convection and dielectric properties). Zbl 1012.80004
Ratanadecho, P.; Aoki, K.; Akahori, M. |
|
2002
|
Cylindrical Couette flow of a vapor-gas mixture: Ghost effect and bifurcation in the continuum limit. Zbl 1262.76041
Yoshida, Hiroaki; Aoki, Kazuo |
|
2006
|
Shock structure analysis in chemically reacting gas mixtures by a relaxation-time kinetic model. Zbl 1182.76290
Groppi, M.; Aoki, K.; Spiga, G.; Tritsch, V. |
|
2008
|
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
|
A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis. Zbl 0545.76078
Aoki, K.; Cercignani, C. |
|
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
|
Vapor flows along a plane condensed phase with weak condensation in the presence of a noncondensable gas. Zbl 1134.82039
Taguchi, Satoshi; Aoki, Kazuo; Latocha, Vladimir |
|
2006
|
Slightly rarefied gas flow over a body with small accommodation coefficient. Zbl 1334.76129
Aoki, Kazuo; Inamuro, Takaji; Onishi, Yoshimoto |
|
1979
|
A hierarchy of models related to nanoflows and surface diffusion. Zbl 1218.82029
Aoki, Kazuo; Charrier, Pierre; Degond, Pierre |
|
2011
|
Milne problem for the linear and linearized Boltzmann equations relevant to a binary gas mixture. Zbl 1437.35522
Aoki, Kazuo; Lin, Yu-Chu; Wu, Kung-Chien |
|
2020
|
Kinetic theory of chemical reactions on crystal surfaces. Zbl 07464402
Aoki, Kazuo; Giovangigli, Vincent |
|
2021
|
The Bénard problem of rarefied gas dynamics. Zbl 0939.76579
Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi; Motohashi, Hideto |
|
1994
|
A diffusion model for rarefied flows in curved channels. Zbl 1149.76045
Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H. |
|
2008
|
Kinetic relaxation models for energy transport. Zbl 1126.82034
Aoki, Kazuo; Markowich, Peter; Takata, Shigeru |
|
2007
|
Vapor flows in the continuum limit in the presence of a small amount of noncondensable gas. Zbl 1187.76511
Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru |
|
2004
|
The steady Boltzmann and Navier-Stokes equations. Zbl 1321.35129
Aoki, Kazuo; Golse, François; Kosuge, Shingo |
|
2015
|
On the second-order temperature jump coefficient of a dilute gas. Zbl 1275.76180
Radtke, Gregg A.; Hadjiconstantinou, N. G.; Takata, S.; Aoki, K. |
|
2012
|
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
|
A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation. Zbl 0565.76077
Aoki, K.; Cercignani, C. |
|
1984
|
The velocity distribution function in an infinitely strong shock wave. Zbl 1184.76541
Takata, Shigeru; Aoki, Kazuo; Cercignani, Carlo |
|
2000
|
A force acting on an oblate spheroid with discontinuous surface temperature in a slightly rarefied gas. Zbl 1416.76260
Aoki, Kazuo; Takata, Shigeru; Tomota, Tatsunori |
|
2014
|
Rarefied gas flows through a curved channel: application of a diffusion-type equation. Zbl 1308.76239
Aoki, Kazuo; Takata, Shigeru; Tatsumi, Eri; Yoshida, Hiroaki |
|
2010
|
Numerical analysis of the Taylor-vortex flow of a slightly rarefied gas. Zbl 1360.35136
Aoki, Kazuo; Kagaya, Ryo; Kosuge, Shingo; Yoshida, Hiroaki |
|
2016
|
Finite-difference methods for the Boltzmann equation for binary gas mixtures. Zbl 1106.76047
Aoki, Kazuo; Kosuge, Shingo |
|
2004
|
The impact of ovarian cancer on life expectancy in Japan. Zbl 1516.62618
Sun, Juan; Bi, Lifu; Chi, Yaojun; Huang, Guowei; Fan, Chun; Aoki, Kazuo; Kono, Akihiro; Hui, Tian; Misumi, Junichi |
|
2007
|
Introduction: Special issue dedicated to Prof. Yoshio Sone. Zbl 1131.01305
Aoki, Kazuo |
|
2007
|
Slow flows of a vapor-gas mixture with large density and temperature variations in the near-continuum regime. Zbl 1182.76426
Laneryd, Carl-Johan Tor; Aoki, Kazuo; Takata, Shigeru |
|
2007
|
Small velocity and finite temperature variations in kinetic relaxation models. Zbl 1186.82066
Aoki, Kazuo; Jüngel, Ansgar; Markowich, Peter A. |
|
2010
|
Kinetic theory of chemical reactions on crystal surfaces. Zbl 07464402
Aoki, Kazuo; Giovangigli, Vincent |
|
2021
|
Milne problem for the linear and linearized Boltzmann equations relevant to a binary gas mixture. Zbl 1437.35522
Aoki, Kazuo; Lin, Yu-Chu; Wu, Kung-Chien |
|
2020
|
A kinetic model for a polyatomic gas with temperature-dependent specific heats and its application to Shock-wave structure. Zbl 1448.76136
Kosuge, Shingo; Kuo, Hung-Wen; Aoki, Kazuo |
|
2019
|
Shock wave structure for polyatomic gases with large bulk viscosities. Zbl 1475.82020
Aoki, Kazuo; Kosuge, Shingo |
|
2018
|
Slip boundary conditions for the compressible Navier-Stokes equations. Zbl 1383.82045
Aoki, Kazuo; Baranger, Céline; Hattori, Masanari; Kosuge, Shingo; Martalò, Giorgio; Mathiaud, Julien; Mieussens, Luc |
|
2017
|
Numerical analysis of the Taylor-vortex flow of a slightly rarefied gas. Zbl 1360.35136
Aoki, Kazuo; Kagaya, Ryo; Kosuge, Shingo; Yoshida, Hiroaki |
|
2016
|
Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Zbl 1314.35077
Aoki, Kazuo; Pulvirenti, Mario; Simonella, Sergio; Tsuji, Tetsuro |
|
2015
|
The steady Boltzmann and Navier-Stokes equations. Zbl 1321.35129
Aoki, Kazuo; Golse, François; Kosuge, Shingo |
|
2015
|
A force acting on an oblate spheroid with discontinuous surface temperature in a slightly rarefied gas. Zbl 1416.76260
Aoki, Kazuo; Takata, Shigeru; Tomota, Tatsunori |
|
2014
|
Moving boundary problems for a rarefied gas: spatially one-dimensional case. Zbl 1349.82059
Tsuji, Tetsuro; Aoki, Kazuo |
|
2013
|
Decay of a linear pendulum in a free-molecular gas and in a special Lorentz gas. Zbl 1245.82066
Tsuji, Tetsuro; Aoki, Kazuo |
|
2012
|
Rarefied gas flow around a sharp edge induced by a temperature field. Zbl 1250.76147
Taguchi, Satoshi; Aoki, Kazuo |
|
2012
|
On the second-order temperature jump coefficient of a dilute gas. Zbl 1275.76180
Radtke, Gregg A.; Hadjiconstantinou, N. G.; Takata, S.; Aoki, K. |
|
2012
|
On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019
Aoki, Kazuo; Golse, François |
|
2011
|
Poiseuille flow and thermal transpiration of a rarefied polyatomic gas through a circular tube with applications to microflows. Zbl 1431.76110
Funagane, Hitoshi; Takata, Shigeru; Aoki, Kazuo; Kugimoto, Ko |
|
2011
|
A hierarchy of models related to nanoflows and surface diffusion. Zbl 1218.82029
Aoki, Kazuo; Charrier, Pierre; Degond, Pierre |
|
2011
|
Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134
Tsuji, Tetsuro; Aoki, Kazuo; Golse, François |
|
2010
|
Fluid modeling for the Knudsen compressor: case of polyatomic gases. Zbl 1203.82074
Takata, Shigeru; Funagane, Hitoshi; Aoki, Kazuo |
|
2010
|
Rarefied gas flows through a curved channel: application of a diffusion-type equation. Zbl 1308.76239
Aoki, Kazuo; Takata, Shigeru; Tatsumi, Eri; Yoshida, Hiroaki |
|
2010
|
Small velocity and finite temperature variations in kinetic relaxation models. Zbl 1186.82066
Aoki, Kazuo; Jüngel, Ansgar; Markowich, Peter A. |
|
2010
|
Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168
Aoki, Kazuo; Degond, Pierre; Mieussens, Luc |
|
2009
|
On the motion of a body in thermal equilibrium immersed in a perfect gas. Zbl 1133.76046
Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario |
|
2008
|
Shock structure analysis in chemically reacting gas mixtures by a relaxation-time kinetic model. Zbl 1182.76290
Groppi, M.; Aoki, K.; Spiga, G.; Tritsch, V. |
|
2008
|
A diffusion model for rarefied flows in curved channels. Zbl 1149.76045
Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H. |
|
2008
|
Diffusion models for Knudsen compressors. Zbl 1182.76027
Aoki, Kazuo; Degond, Pierre; Takata, Shigeru; Yoshida, Hiroaki |
|
2007
|
Kinetic relaxation models for energy transport. Zbl 1126.82034
Aoki, Kazuo; Markowich, Peter; Takata, Shigeru |
|
2007
|
The impact of ovarian cancer on life expectancy in Japan. Zbl 1516.62618
Sun, Juan; Bi, Lifu; Chi, Yaojun; Huang, Guowei; Fan, Chun; Aoki, Kazuo; Kono, Akihiro; Hui, Tian; Misumi, Junichi |
|
2007
|
Introduction: Special issue dedicated to Prof. Yoshio Sone. Zbl 1131.01305
Aoki, Kazuo |
|
2007
|
Slow flows of a vapor-gas mixture with large density and temperature variations in the near-continuum regime. Zbl 1182.76426
Laneryd, Carl-Johan Tor; Aoki, Kazuo; Takata, Shigeru |
|
2007
|
Cylindrical Couette flow of a vapor-gas mixture: Ghost effect and bifurcation in the continuum limit. Zbl 1262.76041
Yoshida, Hiroaki; Aoki, Kazuo |
|
2006
|
Vapor flows along a plane condensed phase with weak condensation in the presence of a noncondensable gas. Zbl 1134.82039
Taguchi, Satoshi; Aoki, Kazuo; Latocha, Vladimir |
|
2006
|
Evaporation and condensation of a binary mixture of vapors on a plane condensed phase: numerical analysis of the linearized Boltzmann equation. Zbl 1187.76580
Yasuda, Shugo; Takata, Shigeru; Aoki, Kazuo |
|
2005
|
Numerical analysis of the shear flow of a binary mixture of hard-sphere gases over a plane wall. Zbl 1186.76586
Yasuda, Shugo; Takata, Shigeru; Aoki, Kazuo |
|
2004
|
Vapor flows in the continuum limit in the presence of a small amount of noncondensable gas. Zbl 1187.76511
Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru |
|
2004
|
Finite-difference methods for the Boltzmann equation for binary gas mixtures. Zbl 1106.76047
Aoki, Kazuo; Kosuge, Shingo |
|
2004
|
Knudsen layer for gas mixtures. Zbl 1124.82314
Aoki, Kazuo; Bardos, Claude; Takata, Shigeru |
|
2003
|
Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases. Zbl 1186.76516
Takata, Shigeru; Yasuda, Shugo; Kosuge, Shingo; Aoki, Kazuo |
|
2003
|
Vapor flows with evaporation and condensation in the continuum limit: Effect of a trace of noncondensable gas. Zbl 1175.76142
Aoki, Kazuo; Takata, Shigeru; Taguchi, Satoshi |
|
2003
|
Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. I: Subsonic condensation. Zbl 1185.76362
Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru |
|
2003
|
Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. II: Supersonic condensation. Zbl 1186.76514
Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru |
|
2003
|
Homogenization of a flow in a periodic channel of small section. Zbl 1107.76060
Aoki, K.; Degond, P. |
|
2003
|
Various transport coefficients occurring in binary gas mixtures and their database. Zbl 1062.76591
Takata, Shigeru; Yasuda, Shugo; Aoki, Kazuo; Shibata, Takumi |
|
2003
|
A consistent BGK-type model for gas mixtures. Zbl 1001.82093
Andries, Pierre; Aoki, Kazuo; Perthame, Benoit |
|
2002
|
A numerical and experimental investigation of the modeling of microwave heating for liquid layers using a rectangular wave guide (effects of natural convection and dielectric properties). Zbl 1012.80004
Ratanadecho, P.; Aoki, K.; Akahori, M. |
|
2002
|
The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: asymptotic analysis of the Boltzmann equation. Zbl 1106.82359
Takata, Shigeru; Aoki, Kazuo |
|
2001
|
Shock-wave structure for a binary gas mixture: Finite difference analysis of the Boltzmann equation for hard-sphere molecules. Zbl 0980.76078
Kosuge, Shingo; Aoki, Kazuo; Takata, Shigeru |
|
2001
|
A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033
Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François |
|
2001
|
A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014
Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François |
|
2001
|
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
|
The velocity distribution function in an infinitely strong shock wave. Zbl 1184.76541
Takata, Shigeru; Aoki, Kazuo; Cercignani, Carlo |
|
2000
|
Two-surface problems of a multicomponent mixture of vapors and noncondensable gases in the continuum limit in the light of kinetic theory. Zbl 1149.76559
Takata, Shigeru; Aoki, Kazuo |
|
1999
|
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
|
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
|
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
|
Gas flows caused by evaporation and condensation on two parallel condensed phases and the negative temperature gradient: Numerical analysis by using a nonlinear kinetic equation. Zbl 0826.76081
Aoki, Kazuo; Masukawa, Noboru |
|
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
|
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 |
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1993
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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 |
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1992
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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 |
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1991
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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 |
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1991
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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 |
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1990
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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 |
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1989
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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 |
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1989
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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 |
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1989
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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 |
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1989
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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 |
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1989
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Steady gas flows past bodies at small Knudsen numbers. Boltzmann and hydrodynamic systems. Zbl 0622.76082
Sone, Yoshio; Aoki, Kazuo |
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1987
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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 |
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1986
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A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis. Zbl 0545.76078
Aoki, K.; Cercignani, C. |
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1984
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A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation. Zbl 0565.76077
Aoki, K.; Cercignani, C. |
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1984
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A similarity solution of the linearized Boltzmann equation with application to thermophoresis of a spherical particle. Zbl 0549.76055
Sone, Yoshio; Aoki, Kazuo |
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1983
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Slightly rarefied gas flow over a body with small accommodation coefficient. Zbl 1334.76129
Aoki, Kazuo; Inamuro, Takaji; Onishi, Yoshimoto |
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1979
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Slightly rarefied gas flow over a specularly reflecting body. Zbl 0356.76056
Sone, Yoshio; Aoki, Kazuo |
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1977
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