Ilyin, O. V. Nonclassical heat transfer in a microchannel and a problem for lattice Boltzmann equations. (English. Russian original) Zbl 07800797 Comput. Math. Math. Phys. 63, No. 12, 2297-2305 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 12, 2016-2024 (2023). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{O. V. Ilyin}, Comput. Math. Math. Phys. 63, No. 12, 2297--2305 (2023; Zbl 07800797); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 12, 2016--2024 (2023) Full Text: DOI
Ghattassi, Mohamed; Huo, Xiaokai; Masmoudi, Nader Stability of the nonlinear Milne problem for radiative heat transfer system. (English) Zbl 1528.35196 Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 102, 52 p. (2023). MSC: 35Q79 35Q20 80A21 80A22 82C40 35B40 34B15 PDFBibTeX XMLCite \textit{M. Ghattassi} et al., Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 102, 52 p. (2023; Zbl 1528.35196) Full Text: DOI arXiv
Li, Qi; Zeng, Jianan; Huang, Zemin; Wu, Lei Kinetic modelling of rarefied gas flows with radiation. (English) Zbl 1522.76078 J. Fluid Mech. 965, Paper No. A13, 46 p. (2023). Reviewer: Jin Woo Jang (Pohang) MSC: 76P05 76K05 76M35 82C40 80A21 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Fluid Mech. 965, Paper No. A13, 46 p. (2023; Zbl 1522.76078) Full Text: DOI arXiv
Rana, Anirudh S.; Saini, Sonu; Chakraborty, Suman; Lockerby, Duncan A.; Sprittles, James E. Efficient simulation of non-classical liquid-vapour phase-transition flows: a method of fundamental solutions. (English) Zbl 1495.76088 J. Fluid Mech. 919, Paper No. A35, 36 p. (2021). MSC: 76M99 76T10 76P05 65M80 80A22 PDFBibTeX XMLCite \textit{A. S. Rana} et al., J. Fluid Mech. 919, Paper No. A35, 36 p. (2021; Zbl 1495.76088) Full Text: DOI arXiv
Helmer, Christoph; Jüngel, Ansgar Analysis of Maxwell-Stefan systems for heat conducting fluid mixtures. (English) Zbl 1468.35203 Nonlinear Anal., Real World Appl. 59, Article ID 103263, 19 p. (2021). MSC: 35Q82 35Q35 35K51 35K55 35B09 35A01 76N06 80A32 82B35 PDFBibTeX XMLCite \textit{C. Helmer} and \textit{A. Jüngel}, Nonlinear Anal., Real World Appl. 59, Article ID 103263, 19 p. (2021; Zbl 1468.35203) Full Text: DOI arXiv
Zhu, Yajun; Zhong, Chengwen; Xu, Kun Ray effect in rarefied flow simulation. (English) Zbl 07508379 J. Comput. Phys. 422, Article ID 109751, 20 p. (2020). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{Y. Zhu} et al., J. Comput. Phys. 422, Article ID 109751, 20 p. (2020; Zbl 07508379) Full Text: DOI arXiv
Zhu, Lianhua; Guo, Zhaoli Application of discrete unified gas kinetic scheme to thermally induced nonequilibrium flows. (English) Zbl 1458.76084 Comput. Fluids 193, Article ID 103613, 12 p. (2019). MSC: 76M99 76N15 76P05 80A19 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Z. Guo}, Comput. Fluids 193, Article ID 103613, 12 p. (2019; Zbl 1458.76084) Full Text: DOI Link
Szalmás, Lajos Heat transfer in ternary rarefied gas mixtures between two parallel plates. (English) Zbl 1408.76462 Eur. J. Mech., B, Fluids 57, 152-158 (2016). MSC: 76P05 80A20 PDFBibTeX XMLCite \textit{L. Szalmás}, Eur. J. Mech., B, Fluids 57, 152--158 (2016; Zbl 1408.76462) Full Text: DOI
Galkin, V. S.; Rusakov, S. V. The gas dynamics equations of slow flows of polyatomic gas mixtures, non-uniform in temperature and concentrations. (English. Russian original) Zbl 1347.76038 J. Appl. Math. Mech. 79, No. 2, 148-158 (2015); translation from Prikl. Mat. Mekh. 79, No. 2, 218–235 (2015). MSC: 76N15 76V05 80A32 PDFBibTeX XMLCite \textit{V. S. Galkin} and \textit{S. V. Rusakov}, J. Appl. Math. Mech. 79, No. 2, 148--158 (2015; Zbl 1347.76038); translation from Prikl. Mat. Mekh. 79, No. 2, 218--235 (2015) Full Text: DOI
Anikin, Yu. A.; Dodulad, O. I.; Kloss, Yu. Yu.; Tcheremissine, F. G. Method of calculating the collision integral and solution of the Boltzmann kinetic equation for simple gases, gas mixtures and gases with rotational degrees of freedom. (English) Zbl 1332.82073 Int. J. Comput. Math. 92, No. 9, 1775-1789 (2015). MSC: 82C40 65R20 65Z05 65C05 82D05 76P05 80A20 PDFBibTeX XMLCite \textit{Yu. A. Anikin} et al., Int. J. Comput. Math. 92, No. 9, 1775--1789 (2015; Zbl 1332.82073) Full Text: DOI
Madjarević, Damir Shock structure and temperature overshoot in macroscopic multi-temperature model of binary mixtures. (English) Zbl 1327.35249 Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations II. Proceedings of the conference “Particle systems and partial differential equations, PS-PDEs II”, Braga, Portugal, December 12–13, 2013. Cham: Springer (ISBN 978-3-319-16636-0/hbk; 978-3-319-16637-7/ebook). Springer Proceedings in Mathematics & Statistics 129, 253-272 (2015). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L67 76N15 80A20 PDFBibTeX XMLCite \textit{D. Madjarević}, Springer Proc. Math. Stat. 129, 253--272 (2015; Zbl 1327.35249) Full Text: DOI
Conforto, F.; Monaco, R.; Ricciardello, A. Analysis of steady combustion processes in a recombination reaction. (English) Zbl 1341.80025 Contin. Mech. Thermodyn. 26, No. 4, 503-519 (2014). MSC: 80A25 76V05 92E99 PDFBibTeX XMLCite \textit{F. Conforto} et al., Contin. Mech. Thermodyn. 26, No. 4, 503--519 (2014; Zbl 1341.80025) Full Text: DOI
Bisi, Marzia; Martalò, Giorgio; Spiga, Giampiero Shock wave structure of multi-temperature Euler equations from kinetic theory for a binary mixture. (English) Zbl 1295.76028 Acta Appl. Math. 132, No. 1, 95-105 (2014). MSC: 76P05 80A17 76L05 PDFBibTeX XMLCite \textit{M. Bisi} et al., Acta Appl. Math. 132, No. 1, 95--105 (2014; Zbl 1295.76028) Full Text: DOI Link
Barbera, Elvira; Brini, Francesca Heat transfer in multi-component gas mixtures described by extended thermodynamics. (English) Zbl 1293.76146 Meccanica 47, No. 3, 655-666 (2012). MSC: 76T10 80A20 PDFBibTeX XMLCite \textit{E. Barbera} and \textit{F. Brini}, Meccanica 47, No. 3, 655--666 (2012; Zbl 1293.76146) Full Text: DOI
Radtke, Gregg A.; Hadjiconstantinou, N. G.; Takata, S.; Aoki, K. On the second-order temperature jump coefficient of a dilute gas. (English) Zbl 1275.76180 J. Fluid Mech. 707, 331-341 (2012). MSC: 76P05 76M35 80A20 PDFBibTeX XMLCite \textit{G. A. Radtke} et al., J. Fluid Mech. 707, 331--341 (2012; Zbl 1275.76180) Full Text: DOI arXiv
Conforto, Fiammetta; Groppi, Maria; Monaco, Roberto; Spiga, Giampiero Steady combustion waves driven by a recombination reaction in a gas mixture. (English) Zbl 1254.82033 Acta Appl. Math. 122, No. 1, 127-140 (2012). MSC: 82C40 80A25 76V05 PDFBibTeX XMLCite \textit{F. Conforto} et al., Acta Appl. Math. 122, No. 1, 127--140 (2012; Zbl 1254.82033) Full Text: DOI Link
Taguchi, Satoshi; Aoki, Kazuo Rarefied gas flow around a sharp edge induced by a temperature field. (English) Zbl 1250.76147 J. Fluid Mech. 694, 191-224 (2012). MSC: 76P05 80A20 PDFBibTeX XMLCite \textit{S. Taguchi} and \textit{K. Aoki}, J. Fluid Mech. 694, 191--224 (2012; Zbl 1250.76147) Full Text: DOI Link
Zahmatkesh, Iman; Alishahi, Mohammad M.; Emdad, Homayoun New velocity-slip and temperature-jump boundary conditions for Navier-Stokes computation of gas mixture flows in microgeometries. (English) Zbl 1272.76204 Mech. Res. Commun. 38, No. 6, 417-424 (2011). MSC: 76N15 76P05 80A20 PDFBibTeX XMLCite \textit{I. Zahmatkesh} et al., Mech. Res. Commun. 38, No. 6, 417--424 (2011; Zbl 1272.76204) Full Text: DOI Link
Barbera, Elvira; Brini, Francesca Heat transfer in a binary gas mixture between two parallel plates: an application of linear extended thermodynamics. (English) Zbl 1386.76136 Acta Mech. 220, No. 1-4, 87-105 (2011). MSC: 76N15 80A20 80A17 PDFBibTeX XMLCite \textit{E. Barbera} and \textit{F. Brini}, Acta Mech. 220, No. 1--4, 87--105 (2011; Zbl 1386.76136) Full Text: DOI
Takata, Shigeru; Funagane, Hitoshi Poiseuille and thermal transpiration flows of a highly rarefied gas: over-concentration in the velocity distribution function. (English) Zbl 1225.76258 J. Fluid Mech. 669, 242-259 (2011). MSC: 76P05 80A20 PDFBibTeX XMLCite \textit{S. Takata} and \textit{H. Funagane}, J. Fluid Mech. 669, 242--259 (2011; Zbl 1225.76258) Full Text: DOI
Kosuge, Shingo; Takata, Shigeru Database for flows of binary gas mixtures through a plane microchannel. (English) Zbl 1154.76048 Eur. J. Mech., B, Fluids 27, No. 4, 444-465 (2008). MSC: 76P05 80A20 PDFBibTeX XMLCite \textit{S. Kosuge} and \textit{S. Takata}, Eur. J. Mech., B, Fluids 27, No. 4, 444--465 (2008; Zbl 1154.76048) Full Text: DOI
Takata, Shigeru; Golse, François Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors. (English) Zbl 1145.76041 Eur. J. Mech., B, Fluids 26, No. 1, 105-131 (2007). MSC: 76P05 80A22 PDFBibTeX XMLCite \textit{S. Takata} and \textit{F. Golse}, Eur. J. Mech., B, Fluids 26, No. 1, 105--131 (2007; Zbl 1145.76041) Full Text: DOI
Yoshida, Hiroaki; Aoki, Kazuo Cylindrical Couette flow of a vapor-gas mixture: Ghost effect and bifurcation in the continuum limit. (English) Zbl 1262.76041 Phys. Fluids 18, No. 8, Art. 087103, 16p. (2006). MSC: 76E07 76P05 76T99 80A22 PDFBibTeX XMLCite \textit{H. Yoshida} and \textit{K. Aoki}, Phys. Fluids 18, No. 8, Art. 087103, 16p. (2006; Zbl 1262.76041) Full Text: DOI Link
Pandolfi Bianchi, M.; Soares, A. J. First-order kinetic approximation for a reactive gas mixture. (English) Zbl 1112.76497 Contin. Mech. Thermodyn. 17, No. 2, 201-215 (2005). MSC: 76V05 76P05 80A32 92E20 PDFBibTeX XMLCite \textit{M. Pandolfi Bianchi} and \textit{A. J. Soares}, Contin. Mech. Thermodyn. 17, No. 2, 201--215 (2005; Zbl 1112.76497) Full Text: DOI Link
Ohwada, Taku Heat flow and temperature and density distributions in a rarefied gas between parallel plates with different temperatures. Finite-difference analysis of the nonlinear Boltzmann equation for hard-sphere molecules. (English) Zbl 1027.76646 Phys. Fluids 8, No. 8, 2153-2160 (1996). MSC: 76P05 76M20 80A20 PDFBibTeX XMLCite \textit{T. Ohwada}, Phys. Fluids 8, No. 8, 2153--2160 (1996; Zbl 1027.76646) Full Text: DOI
Sone, Yoshio; Aoki, Kazuo; Takata, Shigeru; Sugimoto, Hiroshi; Bobylev, A. V. 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. (English) Zbl 1027.76649 Phys. Fluids 8, No. 2, 628-638 (1996). MSC: 76P05 80A20 PDFBibTeX XMLCite \textit{Y. Sone} et al., Phys. Fluids 8, No. 2, 628--638 (1996; Zbl 1027.76649) Full Text: DOI