Edit Profile Aoki, Kazuo Compute Distance To: Compute Author ID: aoki.kazuo Published as: Aoki, K.; Aoki, Kazuo Documents Indexed: 87 Publications since 1977, including 2 Books all top 5 Co-Authors 3 single-authored 26 Takata, Shigeru 25 Sone, Yoshio 8 Degond, Pierre 8 Kosuge, Shingo 7 Golse, François 7 Sugimoto, Hiroshi 6 Ohwada, Taku 6 Taguchi, Satoshi 5 Yoshida, Hiroaki 4 Bardos, Claude Williams 4 Tsuji, Tetsuro 4 Yasuda, Shugo 3 Cercignani, Carlo 3 Mieussens, Luc 2 Funagane, Hitoshi 2 Markowich, Peter Alexander 2 Nishino, Kenji 2 Pulvirenti, Mario 2 Waniguchi, Yorifumi 2 Yang, Tong 1 Abe, Yoshiaki 1 Aikawa, Hidefumi 1 Andries, Pierre 1 Baranger, Céline 1 Bi, Lifu 1 Bobylev, Alexandre Vasiljévitch 1 Cavallaro, Guido 1 Charrier, Pierre 1 Chi, Yaojun 1 Dogbé, Christian 1 Doi, Toshiyuki 1 Fan, Chun 1 Groppi, Maria 1 Hadjiconstantinou, Nicolas G. 1 Hatano, Masatake 1 Hattori, Masanari 1 Huang, Guowei 1 Hui, Tian 1 Illner, Reinhard 1 Inamuro, Takaji 1 Jüngel, Ansgar 1 Kagaya, Ryo 1 Kataoka, Takeshi 1 Kogan, Michail N. 1 Kono, Akihiro 1 Kugimoto, Ko 1 Kuo, Hung-Wen 1 Laneryd, Carl-Johan Tor 1 Latocha, Vladimir 1 Lin, Yu-Chu 1 Marchioro, Carlo 1 Martalò, Giorgio 1 Masukawa, Noboru 1 Mathiaud, Julien 1 Misumi, Junichi 1 Motohashi, Hideto 1 Onishi, Yoshimoto 1 Perthame, Benoît 1 Radtke, Gregg A. 1 Shibata, Takumi 1 Simonella, Sergio 1 Spiga, Giampiero 1 Sun, Juan 1 Tatsumi, Eri 1 Tomota, Tatsunori 1 Tritsch, V. 1 Wu, Kung-Chien 1 Yamada, Tatsuo 1 Yamashita, Ichiro 1 Yano, Takeru all top 5 Serials 20 Physics of Fluids 8 Journal of Statistical Physics 8 Physics of Fluids, A 7 Kinetic and Related Models 3 Journal of Fluid Mechanics 3 Transport Theory and Statistical Physics 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 European Journal of Mechanics. B. Fluids 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 RIMS Kokyuroku 2 European Journal of Mechanics. B. Fluids 2 Multiscale Modeling & Simulation 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Physics of Fluids 1 Fluid Dynamics Research 1 Journal of Differential Equations 1 Journal de Mécanique Théorique et Appliquée 1 Journal of Applied Statistics 1 Journal of the Physical Society of Japan 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Rivista di Matematica della Università di Parma. Serie 8 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 74 Fluid mechanics (76-XX) 43 Statistical mechanics, structure of matter (82-XX) 12 Partial differential equations (35-XX) 8 Classical thermodynamics, heat transfer (80-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 2 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 69 Publications have been cited 884 times in 458 Documents Cited by ▼ Year ▼ 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 0696.76092Ohwada, Taku; Sone, Yoshio; Aoki, Kazuo 92 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 0695.76032Ohwada, Taku; Sone, Yoshio; Aoki, Kazuo 68 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 0661.76082Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo 58 1989 A consistent BGK-type model for gas mixtures. Zbl 1001.82093Andries, Pierre; Aoki, Kazuo; Perthame, Benoit 57 2002 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 0806.76081Takata, Shigeru; Sone, Yoshio; Aoki, Kazuo 39 1993 Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory. Zbl 0721.76085Aoki, Kazuo; Sone, Yoshio; Yamada, Tatsuo 39 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 0825.76718Aoki, Kazuo; Nishino, Kenji; Sone, Yoshio; Sugimoto, Hiroshi 37 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 1027.76649Sone, Yoshio; Aoki, Kazuo; Takata, Shigeru; Sugimoto, Hiroshi; Bobylev, A. V. 31 1996 Steady gas flows past bodies at small Knudsen numbers. Boltzmann and hydrodynamic systems. Zbl 0622.76082Sone, Yoshio; Aoki, Kazuo 24 1987 Knudsen layer for gas mixtures. Zbl 1124.82314Aoki, Kazuo; Bardos, Claude; Takata, Shigeru 23 2003 Evaporation and condensation on a plane condensed phase: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0681.76077Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo 23 1989 Shock-wave structure for a binary gas mixture: Finite difference analysis of the Boltzmann equation for hard-sphere molecules. Zbl 0980.76078Kosuge, Shingo; Aoki, Kazuo; Takata, Shigeru 21 2001 The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: asymptotic analysis of the Boltzmann equation. Zbl 1106.82359Takata, Shigeru; Aoki, Kazuo 19 2001 Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases. Zbl 1186.76516Takata, Shigeru; Yasuda, Shugo; Kosuge, Shingo; Aoki, Kazuo 18 2003 Kinetic theory analysis of gas flows condensing on a plane condensed phase: Case of a mixture of a vapor and a noncondensable gas. Zbl 0818.76087Sone, Yoshio; Aoki, Kazuo; Doi, Toshiyuki 15 1992 On the motion of a body in thermal equilibrium immersed in a perfect gas. Zbl 1133.76046Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario 14 2008 On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019Aoki, Kazuo; Golse, François 13 2011 Two-surface problems of a multicomponent mixture of vapors and noncondensable gases in the continuum limit in the light of kinetic theory. Zbl 1149.76559Takata, Shigeru; Aoki, Kazuo 13 1999 Vapor flows with evaporation and condensation in the continuum limit: Effect of a trace of noncondensable gas. Zbl 1175.76142Aoki, Kazuo; Takata, Shigeru; Taguchi, Satoshi 12 2003 A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François 12 2001 The Bénard problem for a rarefied gas: formation of steady flow patterns and stability of array of rolls. Zbl 1185.76871Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi 12 1997 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 0826.76081Aoki, Kazuo; Masukawa, Noboru 12 1994 A study of unsteady strong condensation on a plane condensed phase with special interest in formation of steady profile. Zbl 0607.76100Sone, Yoshio; Aoki, Kazuo; Yamashita, Ichiro 12 1986 One-way flow of a rarefied gas induced in a channel with a periodic temperature distribution. Zbl 1027.76650Sone, Yoshio; Waniguchi, Yorifumi; Aoki, Kazuo 11 1996 The Bénard problem of rarefied gas dynamics. Zbl 0939.76579Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi; Motohashi, Hideto 11 1994 Diffusion models for Knudsen compressors. Zbl 1182.76027Aoki, Kazuo; Degond, Pierre; Takata, Shigeru; Yoshida, Hiroaki 10 2007 A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François 10 2001 Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168Aoki, Kazuo; Degond, Pierre; Mieussens, Luc 9 2009 Numerical analysis of the shear flow of a binary mixture of hard-sphere gases over a plane wall. Zbl 1186.76586Yasuda, Shugo; Takata, Shigeru; Aoki, Kazuo 9 2004 Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. I: Subsonic condensation. Zbl 1185.76362Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru 9 2003 Moving boundary problems for a rarefied gas: spatially one-dimensional case. Zbl 1349.82059Tsuji, Tetsuro; Aoki, Kazuo 8 2013 Evaporation and condensation of a binary mixture of vapors on a plane condensed phase: numerical analysis of the linearized Boltzmann equation. Zbl 1187.76580Yasuda, Shugo; Takata, Shigeru; Aoki, Kazuo 8 2005 Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. II: Supersonic condensation. Zbl 1186.76514Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru 8 2003 Homogenization of a flow in a periodic channel of small section. Zbl 1107.76060Aoki, K.; Degond, P. 8 2003 Cylindrical couette flows of a rarefied gas with evaporation and condensation: Reversal and bifurcation of flows. Zbl 1147.76503Sone, Yoshio; Sugimoto, Hiroshi; Aoki, Kazuo 8 1999 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 0661.76079Aoki, Kazuo; Sone, Yoshio; Yano, Takeru 8 1989 Slightly rarefied gas flow over a specularly reflecting body. Zbl 0356.76056Sone, Yoshio; Aoki, Kazuo 8 1977 Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134Tsuji, Tetsuro; Aoki, Kazuo; Golse, François 7 2010 Various transport coefficients occurring in binary gas mixtures and their database. Zbl 1062.76591Takata, Shigeru; Yasuda, Shugo; Aoki, Kazuo; Shibata, Takumi 7 2003 Decay of a linear pendulum in a free-molecular gas and in a special Lorentz gas. Zbl 1245.82066Tsuji, Tetsuro; Aoki, Kazuo 6 2012 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 1012.80004Ratanadecho, P.; Aoki, K.; Akahori, M. 6 2002 Shock structure analysis in chemically reacting gas mixtures by a relaxation-time kinetic model. Zbl 1182.76290Groppi, M.; Aoki, K.; Spiga, G.; Tritsch, V. 5 2008 Cylindrical Couette flow of a vapor-gas mixture: Ghost effect and bifurcation in the continuum limit. Zbl 1262.76041Yoshida, Hiroaki; Aoki, Kazuo 5 2006 A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis. Zbl 0545.76078Aoki, K.; Cercignani, C. 5 1984 Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Zbl 1314.35077Aoki, Kazuo; Pulvirenti, Mario; Simonella, Sergio; Tsuji, Tetsuro 4 2015 Fluid modeling for the Knudsen compressor: case of polyatomic gases. Zbl 1203.82074Takata, Shigeru; Funagane, Hitoshi; Aoki, Kazuo 4 2010 Vapor flows along a plane condensed phase with weak condensation in the presence of a noncondensable gas. Zbl 1134.82039Taguchi, Satoshi; Aoki, Kazuo; Latocha, Vladimir 4 2006 A rarefied gas flow induced by a temperature field: Numerical analysis of the flow between two coaxial elliptic cylinders with different uniform temperatures. Zbl 0910.76072Aoki, K.; Sone, Y.; Waniguchi, Y. 4 1998 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 0725.76079Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo 4 1991 Vapor flows in the continuum limit in the presence of a small amount of noncondensable gas. Zbl 1187.76511Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru 3 2004 A similarity solution of the linearized Boltzmann equation with application to thermophoresis of a spherical particle. Zbl 0549.76055Sone, Yoshio; Aoki, Kazuo 3 1983 Slightly rarefied gas flow over a body with small accommodation coefficient. Zbl 1334.76129Aoki, Kazuo; Inamuro, Takaji; Onishi, Yoshimoto 3 1979 A kinetic model for a polyatomic gas with temperature-dependent specific heats and its application to Shock-wave structure. Zbl 1448.76136Kosuge, Shingo; Kuo, Hung-Wen; Aoki, Kazuo 2 2019 Numerical analysis of the Taylor-vortex flow of a slightly rarefied gas. Zbl 1360.35136Aoki, Kazuo; Kagaya, Ryo; Kosuge, Shingo; Yoshida, Hiroaki 2 2016 The steady Boltzmann and Navier-Stokes equations. Zbl 1321.35129Aoki, Kazuo; Golse, François; Kosuge, Shingo 2 2015 Rarefied gas flow around a sharp edge induced by a temperature field. Zbl 1250.76147Taguchi, Satoshi; Aoki, Kazuo 2 2012 A diffusion model for rarefied flows in curved channels. Zbl 1149.76045Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H. 2 2008 The velocity distribution function in an infinitely strong shock wave. Zbl 1184.76541Takata, Shigeru; Aoki, Kazuo; Cercignani, Carlo 2 2000 Derivation of hydrodynamic limits from either the Liouville equation or kinetic models: Study of an example. Zbl 0968.82523Aoki, Kazuo; Bardos, Claude; Golse, François; Sone, Yoshio 2 2000 A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation. Zbl 0565.76077Aoki, K.; Cercignani, C. 2 1984 A force acting on an oblate spheroid with discontinuous surface temperature in a slightly rarefied gas. Zbl 1416.76260Aoki, Kazuo; Takata, Shigeru; Tomota, Tatsunori 1 2014 On the second-order temperature jump coefficient of a dilute gas. Zbl 1275.76180Radtke, Gregg A.; Hadjiconstantinou, N. G.; Takata, S.; Aoki, K. 1 2012 Poiseuille flow and thermal transpiration of a rarefied polyatomic gas through a circular tube with applications to microflows. Zbl 1431.76110Funagane, Hitoshi; Takata, Shigeru; Aoki, Kazuo; Kugimoto, Ko 1 2011 A hierarchy of models related to nanoflows and surface diffusion. Zbl 1218.82029Aoki, Kazuo; Charrier, Pierre; Degond, Pierre 1 2011 Rarefied gas flows through a curved channel: application of a diffusion-type equation. Zbl 1308.76239Aoki, Kazuo; Takata, Shigeru; Tatsumi, Eri; Yoshida, Hiroaki 1 2010 Slow flows of a vapor-gas mixture with large density and temperature variations in the near-continuum regime. Zbl 1182.76426Laneryd, Carl-Johan Tor; Aoki, Kazuo; Takata, Shigeru 1 2007 Introduction: Special issue dedicated to Prof. Yoshio Sone. Zbl 1131.01305Aoki, Kazuo 1 2007 Finite-difference methods for the Boltzmann equation for binary gas mixtures. Zbl 1106.76047Aoki, Kazuo; Kosuge, Shingo 1 2004 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 0787.76089Aoki, Kazuo; Nishino, Kenji; Sone, Yoshio; Sugimoto, Hiroshi 1 1993 A kinetic model for a polyatomic gas with temperature-dependent specific heats and its application to Shock-wave structure. Zbl 1448.76136Kosuge, Shingo; Kuo, Hung-Wen; Aoki, Kazuo 2 2019 Numerical analysis of the Taylor-vortex flow of a slightly rarefied gas. Zbl 1360.35136Aoki, Kazuo; Kagaya, Ryo; Kosuge, Shingo; Yoshida, Hiroaki 2 2016 Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Zbl 1314.35077Aoki, Kazuo; Pulvirenti, Mario; Simonella, Sergio; Tsuji, Tetsuro 4 2015 The steady Boltzmann and Navier-Stokes equations. Zbl 1321.35129Aoki, Kazuo; Golse, François; Kosuge, Shingo 2 2015 A force acting on an oblate spheroid with discontinuous surface temperature in a slightly rarefied gas. Zbl 1416.76260Aoki, Kazuo; Takata, Shigeru; Tomota, Tatsunori 1 2014 Moving boundary problems for a rarefied gas: spatially one-dimensional case. Zbl 1349.82059Tsuji, Tetsuro; Aoki, Kazuo 8 2013 Decay of a linear pendulum in a free-molecular gas and in a special Lorentz gas. Zbl 1245.82066Tsuji, Tetsuro; Aoki, Kazuo 6 2012 Rarefied gas flow around a sharp edge induced by a temperature field. Zbl 1250.76147Taguchi, Satoshi; Aoki, Kazuo 2 2012 On the second-order temperature jump coefficient of a dilute gas. Zbl 1275.76180Radtke, Gregg A.; Hadjiconstantinou, N. G.; Takata, S.; Aoki, K. 1 2012 On the speed of approach to equilibrium for a collisionless gas. Zbl 1218.82019Aoki, Kazuo; Golse, François 13 2011 Poiseuille flow and thermal transpiration of a rarefied polyatomic gas through a circular tube with applications to microflows. Zbl 1431.76110Funagane, Hitoshi; Takata, Shigeru; Aoki, Kazuo; Kugimoto, Ko 1 2011 A hierarchy of models related to nanoflows and surface diffusion. Zbl 1218.82029Aoki, Kazuo; Charrier, Pierre; Degond, Pierre 1 2011 Relaxation of a free-molecular gas to equilibrium caused by interaction with Vessel wall. Zbl 1203.76134Tsuji, Tetsuro; Aoki, Kazuo; Golse, François 7 2010 Fluid modeling for the Knudsen compressor: case of polyatomic gases. Zbl 1203.82074Takata, Shigeru; Funagane, Hitoshi; Aoki, Kazuo 4 2010 Rarefied gas flows through a curved channel: application of a diffusion-type equation. Zbl 1308.76239Aoki, Kazuo; Takata, Shigeru; Tatsumi, Eri; Yoshida, Hiroaki 1 2010 Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168Aoki, Kazuo; Degond, Pierre; Mieussens, Luc 9 2009 On the motion of a body in thermal equilibrium immersed in a perfect gas. Zbl 1133.76046Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario 14 2008 Shock structure analysis in chemically reacting gas mixtures by a relaxation-time kinetic model. Zbl 1182.76290Groppi, M.; Aoki, K.; Spiga, G.; Tritsch, V. 5 2008 A diffusion model for rarefied flows in curved channels. Zbl 1149.76045Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H. 2 2008 Diffusion models for Knudsen compressors. Zbl 1182.76027Aoki, Kazuo; Degond, Pierre; Takata, Shigeru; Yoshida, Hiroaki 10 2007 Slow flows of a vapor-gas mixture with large density and temperature variations in the near-continuum regime. Zbl 1182.76426Laneryd, Carl-Johan Tor; Aoki, Kazuo; Takata, Shigeru 1 2007 Introduction: Special issue dedicated to Prof. Yoshio Sone. Zbl 1131.01305Aoki, Kazuo 1 2007 Cylindrical Couette flow of a vapor-gas mixture: Ghost effect and bifurcation in the continuum limit. Zbl 1262.76041Yoshida, Hiroaki; Aoki, Kazuo 5 2006 Vapor flows along a plane condensed phase with weak condensation in the presence of a noncondensable gas. Zbl 1134.82039Taguchi, Satoshi; Aoki, Kazuo; Latocha, Vladimir 4 2006 Evaporation and condensation of a binary mixture of vapors on a plane condensed phase: numerical analysis of the linearized Boltzmann equation. Zbl 1187.76580Yasuda, Shugo; Takata, Shigeru; Aoki, Kazuo 8 2005 Numerical analysis of the shear flow of a binary mixture of hard-sphere gases over a plane wall. Zbl 1186.76586Yasuda, Shugo; Takata, Shigeru; Aoki, Kazuo 9 2004 Vapor flows in the continuum limit in the presence of a small amount of noncondensable gas. Zbl 1187.76511Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru 3 2004 Finite-difference methods for the Boltzmann equation for binary gas mixtures. Zbl 1106.76047Aoki, Kazuo; Kosuge, Shingo 1 2004 Knudsen layer for gas mixtures. Zbl 1124.82314Aoki, Kazuo; Bardos, Claude; Takata, Shigeru 23 2003 Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases. Zbl 1186.76516Takata, Shigeru; Yasuda, Shugo; Kosuge, Shingo; Aoki, Kazuo 18 2003 Vapor flows with evaporation and condensation in the continuum limit: Effect of a trace of noncondensable gas. Zbl 1175.76142Aoki, Kazuo; Takata, Shigeru; Taguchi, Satoshi 12 2003 Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. I: Subsonic condensation. Zbl 1185.76362Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru 9 2003 Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. II: Supersonic condensation. Zbl 1186.76514Taguchi, Satoshi; Aoki, Kazuo; Takata, Shigeru 8 2003 Homogenization of a flow in a periodic channel of small section. Zbl 1107.76060Aoki, K.; Degond, P. 8 2003 Various transport coefficients occurring in binary gas mixtures and their database. Zbl 1062.76591Takata, Shigeru; Yasuda, Shugo; Aoki, Kazuo; Shibata, Takumi 7 2003 A consistent BGK-type model for gas mixtures. Zbl 1001.82093Andries, Pierre; Aoki, Kazuo; Perthame, Benoit 57 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 1012.80004Ratanadecho, P.; Aoki, K.; Akahori, M. 6 2002 Shock-wave structure for a binary gas mixture: Finite difference analysis of the Boltzmann equation for hard-sphere molecules. Zbl 0980.76078Kosuge, Shingo; Aoki, Kazuo; Takata, Shigeru 21 2001 The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: asymptotic analysis of the Boltzmann equation. Zbl 1106.82359Takata, Shigeru; Aoki, Kazuo 19 2001 A rarefied gas flow caused by a discontinuous wall temperature. Zbl 1184.76033Aoki, Kazuo; Takata, Shigeru; Aikawa, Hidefumi; Golse, François 12 2001 A note on the propagation of boundary induced discontinuities in kinetic theory. Zbl 1012.82014Aoki, Kazuo; Bardos, Claude; Dogbe, Christian; Golse, François 10 2001 The velocity distribution function in an infinitely strong shock wave. Zbl 1184.76541Takata, Shigeru; Aoki, Kazuo; Cercignani, Carlo 2 2000 Derivation of hydrodynamic limits from either the Liouville equation or kinetic models: Study of an example. Zbl 0968.82523Aoki, Kazuo; Bardos, Claude; Golse, François; Sone, Yoshio 2 2000 Two-surface problems of a multicomponent mixture of vapors and noncondensable gases in the continuum limit in the light of kinetic theory. Zbl 1149.76559Takata, Shigeru; Aoki, Kazuo 13 1999 Cylindrical couette flows of a rarefied gas with evaporation and condensation: Reversal and bifurcation of flows. Zbl 1147.76503Sone, Yoshio; Sugimoto, Hiroshi; Aoki, Kazuo 8 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 0910.76072Aoki, K.; Sone, Y.; Waniguchi, Y. 4 1998 The Bénard problem for a rarefied gas: formation of steady flow patterns and stability of array of rolls. Zbl 1185.76871Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi 12 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 1027.76649Sone, Yoshio; Aoki, Kazuo; Takata, Shigeru; Sugimoto, Hiroshi; Bobylev, A. V. 31 1996 One-way flow of a rarefied gas induced in a channel with a periodic temperature distribution. Zbl 1027.76650Sone, Yoshio; Waniguchi, Yorifumi; Aoki, Kazuo 11 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 0826.76081Aoki, Kazuo; Masukawa, Noboru 12 1994 The Bénard problem of rarefied gas dynamics. Zbl 0939.76579Sone, Yoshio; Aoki, Kazuo; Sugimoto, Hiroshi; Motohashi, Hideto 11 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 0806.76081Takata, Shigeru; Sone, Yoshio; Aoki, Kazuo 39 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 0787.76089Aoki, Kazuo; Nishino, Kenji; Sone, Yoshio; Sugimoto, Hiroshi 1 1993 Kinetic theory analysis of gas flows condensing on a plane condensed phase: Case of a mixture of a vapor and a noncondensable gas. Zbl 0818.76087Sone, Yoshio; Aoki, Kazuo; Doi, Toshiyuki 15 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 0825.76718Aoki, Kazuo; Nishino, Kenji; Sone, Yoshio; Sugimoto, Hiroshi 37 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 0725.76079Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo 4 1991 Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory. Zbl 0721.76085Aoki, Kazuo; Sone, Yoshio; Yamada, Tatsuo 39 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 0696.76092Ohwada, Taku; Sone, Yoshio; Aoki, Kazuo 92 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 0695.76032Ohwada, Taku; Sone, Yoshio; Aoki, Kazuo 68 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 0661.76082Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo 58 1989 Evaporation and condensation on a plane condensed phase: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules. Zbl 0681.76077Sone, Yoshio; Ohwada, Taku; Aoki, Kazuo 23 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 0661.76079Aoki, Kazuo; Sone, Yoshio; Yano, Takeru 8 1989 Steady gas flows past bodies at small Knudsen numbers. Boltzmann and hydrodynamic systems. Zbl 0622.76082Sone, Yoshio; Aoki, Kazuo 24 1987 A study of unsteady strong condensation on a plane condensed phase with special interest in formation of steady profile. Zbl 0607.76100Sone, Yoshio; Aoki, Kazuo; Yamashita, Ichiro 12 1986 A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis. Zbl 0545.76078Aoki, K.; Cercignani, C. 5 1984 A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation. Zbl 0565.76077Aoki, K.; Cercignani, C. 2 1984 A similarity solution of the linearized Boltzmann equation with application to thermophoresis of a spherical particle. Zbl 0549.76055Sone, Yoshio; Aoki, Kazuo 3 1983 Slightly rarefied gas flow over a body with small accommodation coefficient. Zbl 1334.76129Aoki, Kazuo; Inamuro, Takaji; Onishi, Yoshimoto 3 1979 Slightly rarefied gas flow over a specularly reflecting body. Zbl 0356.76056Sone, Yoshio; Aoki, Kazuo 8 1977 all cited Publications top 5 cited Publications all top 5 Cited by 531 Authors 43 Aoki, Kazuo 36 Takata, Shigeru 27 Sone, Yoshio 16 Sharipov, Felix M. 14 Spiga, Giampiero 12 Bisi, Marzia 12 Taguchi, Satoshi 11 Groppi, Maria 9 Golse, François 9 Ohwada, Taku 9 Sugimoto, Hiroshi 9 Torrilhon, Manuel 9 Zhang, Yonghao 8 Brull, Stephane 8 Kalempa, Denize 8 Kosuge, Shingo 8 Siewert, C. E. 8 Valougeorgis, Dimitris 8 Wu, Lei 8 Yoshida, Hiroaki 7 Cercignani, Carlo 7 Doi, Toshiyuki 7 Hadjiconstantinou, Nicolas G. 7 Liu, Tai-Ping 7 Mieussens, Luc 6 Chen, I-Kun 6 Shu, Chang 6 Struchtrup, Henning 6 Tsuji, Tetsuro 6 Yang, Xiongfeng 5 Bobylev, Alexandre Vasiljévitch 5 Emerson, David R. 5 Garcia, Roberto D. M. 5 Gu, Xiaojun 5 Loyalka, S. K. 5 Martalò, Giorgio 5 Szalmás, Lajos 5 Xu, Kun 5 Ytrehus, Tor 5 Yu, Shih-Hsien 4 Asinari, Pietro 4 Baranger, Céline 4 Conforto, Fiammetta 4 Frezzotti, Aldo 4 Graur, Irina A. 4 Klar, Axel 4 Kuo, Hung-Wen 4 Lockerby, Duncan A. 4 Marchioro, Carlo 4 Meland, Roar 4 Méolans, J. Gilbert 4 Mokhtar-Kharroubi, Mustapha 4 Pirner, Marlies 4 Rana, Anirudh Singh 4 Reese, Jason M. 4 Sader, John E. 4 Titarev, Vladimir A. 4 Yun, Seok-Bae 3 Bardos, Claude Williams 3 Barichello, Liliane Basso 3 Cavallaro, Guido 3 Chen, Xuwen 3 Chew, Yong-Tian 3 Duan, Renjun 3 Fan, Jing 3 Funagane, Hitoshi 3 Galkin, V. S. 3 Gibelli, Livio 3 Guo, Zhaoli 3 Gupta, Vinay Kumar 3 Hattori, Masanari 3 Ho, Minh Tuan 3 Illner, Reinhard 3 Kim, Chanwoo 3 Mathiaud, Julien 3 Monaco, Roberto 3 Niu, Xiaodong 3 Pavan, Vincent 3 Perrier, Pierre C. 3 Puppo, Gabriella 3 Rattanadecho, Phadungsak 3 Roohi, Ehsan 3 Russo, Giovanni 3 Salvarani, Francesco 3 Shakhov, E. M. 3 Simonella, Sergio 3 Slemrod, Marshall 3 Soares, Ana Jacinta 3 Strauss, Walter Alexander 3 Tompson, R. V. jun. 3 Wang, Weike 3 Wang, Yong 3 Yang, Tong 3 Yasuda, Shugo 3 Yushkanov, Aleksandr Alekseevich 2 Alaoui, Mohammed 2 Babovsky, Hans 2 Baker, Lowell L. 2 Baliti, Jamal 2 Barber, Robert W. ...and 431 more Authors all top 5 Cited in 87 Serials 80 Physics of Fluids 48 Journal of Computational Physics 37 European Journal of Mechanics. B. Fluids 36 Journal of Statistical Physics 30 Journal of Fluid Mechanics 15 Transport Theory and Statistical Physics 14 Physics of Fluids, A 11 Archive for Rational Mechanics and Analysis 10 Computers and Fluids 10 Continuum Mechanics and Thermodynamics 9 Communications in Mathematical Physics 9 Kinetic and Related Models 8 Computers & Mathematics with Applications 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Differential Equations 6 Fluid Dynamics 6 International Journal of Heat and Mass Transfer 6 Journal of Mathematical Physics 5 Acta Applicandae Mathematicae 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Applied Mathematical Modelling 4 International Journal of Modern Physics C 3 International Journal for Numerical Methods in Fluids 3 Quarterly of Applied Mathematics 3 Journal of Scientific Computing 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Theoretical and Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Functional Analysis 2 Ricerche di Matematica 2 Annales de l’Institut Henri Poincaré. 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(English Edition) 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Journal of Statistical Mechanics: Theory and Experiment 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging 1 Mathematical Modelling of Natural Phenomena 1 Advances in Mathematical Physics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Séminaire Laurent Schwartz. EDP et Applications 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering all top 5 Cited in 22 Fields 403 Fluid mechanics (76-XX) 194 Statistical mechanics, structure of matter (82-XX) 101 Partial differential equations (35-XX) 51 Numerical analysis (65-XX) 38 Classical thermodynamics, heat transfer (80-XX) 7 Integral equations (45-XX) 6 Mechanics of deformable solids (74-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) Citations by Year