Bünger, Jonas; Christhuraj, Edilbert; Hanke, Andrea; Torrilhon, Manuel Structured derivation of moment equations and stable boundary conditions with an introduction to symmetric, trace-free tensors. (English) Zbl 1517.76057 Kinet. Relat. Models 16, No. 3, 458-494 (2023). MSC: 76P05 76M28 76N15 15A72 PDF BibTeX XML Cite \textit{J. Bünger} et al., Kinet. Relat. Models 16, No. 3, 458--494 (2023; Zbl 1517.76057) Full Text: DOI
Cai, Zhenning; Wang, Yanli Numerical solver for the Boltzmann equation with self-adaptive collision operators. (English) Zbl 1491.76049 SIAM J. Sci. Comput. 44, No. 2, B275-B309 (2022). MSC: 76M22 76P05 PDF BibTeX XML Cite \textit{Z. Cai} and \textit{Y. Wang}, SIAM J. Sci. Comput. 44, No. 2, B275--B309 (2022; Zbl 1491.76049) Full Text: DOI arXiv
Lallemand, Pierre; Luo, Li-Shi; Krafczyk, Manfred; Yong, Wen-An The lattice Boltzmann method for nearly incompressible flows. (English) Zbl 07511443 J. Comput. Phys. 431, Article ID 109713, 52 p. (2021). MSC: 76Mxx 76Pxx 82Cxx PDF BibTeX XML Cite \textit{P. Lallemand} et al., J. Comput. Phys. 431, Article ID 109713, 52 p. (2021; Zbl 07511443) Full Text: DOI
Liu, Xiaochuan; Huang, Yong; Wang, Cun-Hai; Zhu, Keyong A multiple-relaxation-time lattice Boltzmann model for radiative transfer equation. (English) Zbl 07500742 J. Comput. Phys. 429, Article ID 110007, 22 p. (2021). MSC: 76Mxx 65Mxx 80Axx PDF BibTeX XML Cite \textit{X. Liu} et al., J. Comput. Phys. 429, Article ID 110007, 22 p. (2021; Zbl 07500742) Full Text: DOI
Taniguchi, Shigeru Effect of the dynamic pressure on the similarity solution of cylindrical shock waves in a rarefied polyatomic gas. (English) Zbl 1468.76036 Ric. Mat. 70, No. 1, 195-206 (2021). MSC: 76L05 76P05 76M55 76M60 PDF BibTeX XML Cite \textit{S. Taniguchi}, Ric. Mat. 70, No. 1, 195--206 (2021; Zbl 1468.76036) Full Text: DOI
Zhao, Weifeng; Huang, Juntao; Yong, Wen-An Lattice Boltzmann method for stochastic convection-diffusion equations. (English) Zbl 1467.35368 SIAM/ASA J. Uncertain. Quantif. 9, 536-563 (2021). MSC: 35R60 60H35 76M28 65M12 PDF BibTeX XML Cite \textit{W. Zhao} et al., SIAM/ASA J. Uncertain. Quantif. 9, 536--563 (2021; Zbl 1467.35368) Full Text: DOI
Cameron, Stephen; Snelson, Stanley Velocity decay estimates for Boltzmann equation with hard potentials. (English) Zbl 1483.35265 Nonlinearity 33, No. 6, 2941-2958 (2020). MSC: 35Q82 35Q20 76P05 82C40 PDF BibTeX XML Cite \textit{S. Cameron} and \textit{S. Snelson}, Nonlinearity 33, No. 6, 2941--2958 (2020; Zbl 1483.35265) Full Text: DOI arXiv
Reis, Timothy Burnett order stress and spatially-dependent boundary conditions for the lattice Boltzmann method. (English) Zbl 1473.76042 Commun. Comput. Phys. 27, No. 1, 167-197 (2020). MSC: 76M28 PDF BibTeX XML Cite \textit{T. Reis}, Commun. Comput. Phys. 27, No. 1, 167--197 (2020; Zbl 1473.76042) Full Text: DOI
Arima, Takashi; Ruggeri, Tommaso; Sugiyama, Masaru Rational extended thermodynamics of dense polyatomic gases incorporating molecular rotation and vibration. (English) Zbl 1462.82054 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2170, Article ID 20190176, 24 p. (2020). MSC: 82C40 80A10 PDF BibTeX XML Cite \textit{T. Arima} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2170, Article ID 20190176, 24 p. (2020; Zbl 1462.82054) Full Text: DOI Link
Li, Ruo; Wang, Yanli; Wang, Yixuan Approximation to singular quadratic collision model in Fokker-Planck-Landau equation. (English) Zbl 1447.65101 SIAM J. Sci. Comput. 42, No. 3, B792-B815 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 82D10 65N35 82C31 35Q84 PDF BibTeX XML Cite \textit{R. Li} et al., SIAM J. Sci. Comput. 42, No. 3, B792--B815 (2020; Zbl 1447.65101) Full Text: DOI arXiv
Reis, T. On the lattice Boltzmann deviatoric stress: analysis, boundary conditions, and optimal relaxation times. (English) Zbl 1435.65132 SIAM J. Sci. Comput. 42, No. 2, B397-B424 (2020). MSC: 65M06 35Q20 76R05 76M28 PDF BibTeX XML Cite \textit{T. Reis}, SIAM J. Sci. Comput. 42, No. 2, B397--B424 (2020; Zbl 1435.65132) Full Text: DOI
Ha, Seung-Yeal; Kim, Jeongho; Ruggeri, Tommaso From the relativistic mixture of gases to the relativistic Cucker-Smale flocking. (English) Zbl 1439.35397 Arch. Ration. Mech. Anal. 235, No. 3, 1661-1706 (2020). MSC: 35Q35 76Y05 76P05 PDF BibTeX XML Cite \textit{S.-Y. Ha} et al., Arch. Ration. Mech. Anal. 235, No. 3, 1661--1706 (2020; Zbl 1439.35397) Full Text: DOI
Imbert, Cyril; Mouhot, Clément; Silvestre, Luis Decay estimates for large velocities in the Boltzmann equation without cutoff. (Décroissance aux grandes vitesses pour LES solutions de L’Équation de Boltzmann sans troncature angulaire.) (English. French summary) Zbl 1427.35278 J. Éc. Polytech., Math. 7, 143-184 (2020). MSC: 35Q82 76P05 35Q20 82C40 35B65 35B45 35B50 PDF BibTeX XML Cite \textit{C. Imbert} et al., J. Éc. Polytech., Math. 7, 143--184 (2020; Zbl 1427.35278) Full Text: DOI arXiv
Wang, Yanli; Cai, Zhenning Approximation of the Boltzmann collision operator based on Hermite spectral method. (English) Zbl 1453.65367 J. Comput. Phys. 397, Article ID 108815, 23 p. (2019). MSC: 65M70 35Q20 76P05 76M22 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{Z. Cai}, J. Comput. Phys. 397, Article ID 108815, 23 p. (2019; Zbl 1453.65367) Full Text: DOI arXiv
Ruggeri, Tommaso; Taniguchi, Shigeru Shock waves in hyperbolic systems of nonequilibrium thermodynamics. (English) Zbl 1444.76066 Berezovski, Arkadi (ed.) et al., Applied wave mathematics II. Selected topics in solids, fluids, and mathematical methods and complexity. Cham: Springer. Math. Planet Earth 6, 167-186 (2019). MSC: 76L05 76P05 82C40 35L67 PDF BibTeX XML Cite \textit{T. Ruggeri} and \textit{S. Taniguchi}, Math. Planet Earth 6, 167--186 (2019; Zbl 1444.76066) Full Text: DOI
Arima, Takashi; Sugiyama, Masaru Extended thermodynamics of dense polyatomic gases: modeling of molecular energy exchange. (English) Zbl 1419.82046 Ric. Mat. 68, No. 1, 91-101 (2019). MSC: 82C35 76N15 35Q35 35L60 82D05 PDF BibTeX XML Cite \textit{T. Arima} and \textit{M. Sugiyama}, Ric. Mat. 68, No. 1, 91--101 (2019; Zbl 1419.82046) Full Text: DOI
James, Richard D.; Nota, Alessia; Velázquez, Juan J. L. Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy. (English) Zbl 1430.82012 Arch. Ration. Mech. Anal. 231, No. 2, 787-843 (2019). MSC: 82C40 35C06 35Q20 76P05 PDF BibTeX XML Cite \textit{R. D. James} et al., Arch. Ration. Mech. Anal. 231, No. 2, 787--843 (2019; Zbl 1430.82012) Full Text: DOI arXiv
Ruggeri, Tommaso; Simić, Srboljub Non-equilibrium diffusion temperatures in mixture of gases via Maxwellian iteration. (English) Zbl 1386.76008 Ric. Mat. 66, No. 2, 293-312 (2017). MSC: 76A02 76N15 82C35 82C40 35L60 PDF BibTeX XML Cite \textit{T. Ruggeri} and \textit{S. Simić}, Ric. Mat. 66, No. 2, 293--312 (2017; Zbl 1386.76008) Full Text: DOI
Di, Yana; Fan, Yuwei; Li, Ruo 13-moment system with global hyperbolicity for quantum gas. (English) Zbl 1376.82032 J. Stat. Phys. 167, No. 5, 1280-1302 (2017). MSC: 82B40 35Q20 35B65 PDF BibTeX XML Cite \textit{Y. Di} et al., J. Stat. Phys. 167, No. 5, 1280--1302 (2017; Zbl 1376.82032) Full Text: DOI arXiv
Morimoto, Yoshinori; Yang, Tong; Zhao, Huijiang Convergence to self-similar solutions for the homogeneous Boltzmann equation. (English) Zbl 1379.82019 J. Eur. Math. Soc. (JEMS) 19, No. 8, 2241-2267 (2017). MSC: 82C40 76P05 35Q20 35C06 PDF BibTeX XML Cite \textit{Y. Morimoto} et al., J. Eur. Math. Soc. (JEMS) 19, No. 8, 2241--2267 (2017; Zbl 1379.82019) Full Text: DOI arXiv
Faliagas, A. C. Mixed weak-perturbative solution method for Maxwell’s equations of diffusion with Müller’s partial stress tensor in the low velocity limit. (English) Zbl 1351.76269 J. Comput. Phys. 308, 322-346 (2016). MSC: 76P05 76M10 35Q61 65M60 76R50 PDF BibTeX XML Cite \textit{A. C. Faliagas}, J. Comput. Phys. 308, 322--346 (2016; Zbl 1351.76269) Full Text: DOI
Cai, Zhenning; Torrilhon, Manuel Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. (English) Zbl 1349.76782 J. Comput. Phys. 295, 617-643 (2015). MSC: 76P05 65M70 35Q20 45K05 76M28 65R20 82D05 PDF BibTeX XML Cite \textit{Z. Cai} and \textit{M. Torrilhon}, J. Comput. Phys. 295, 617--643 (2015; Zbl 1349.76782) Full Text: DOI
Dolera, Emanuele Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels. (English) Zbl 1332.35256 Ann. Mat. Pura Appl. (4) 194, No. 6, 1707-1732 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q20 82C40 35D30 60G50 PDF BibTeX XML Cite \textit{E. Dolera}, Ann. Mat. Pura Appl. (4) 194, No. 6, 1707--1732 (2015; Zbl 1332.35256) Full Text: DOI arXiv
Carrisi, Maria Cristina; Pennisi, Sebastiano; Ruggeri, Tommaso; Sugiyama, Masaru Extended thermodynamics of dense gases in the presence of dynamic pressure. (English) Zbl 1327.76116 Ric. Mat. 64, No. 2, 403-419 (2015). MSC: 76N15 82C35 PDF BibTeX XML Cite \textit{M. C. Carrisi} et al., Ric. Mat. 64, No. 2, 403--419 (2015; Zbl 1327.76116) Full Text: DOI
Yano, Ryosuke Semi-classical expansion of distribution function using modified Hermite polynomials for quantum gas. (English) Zbl 1395.82139 Physica A 416, 231-241 (2014). MSC: 82C20 82C40 PDF BibTeX XML Cite \textit{R. Yano}, Physica A 416, 231--241 (2014; Zbl 1395.82139) Full Text: DOI
Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter Entropy principle and recent results in non-equilibrium theories. (English) Zbl 1338.82034 Entropy 16, No. 3, 1756-1807 (2014). MSC: 82C20 PDF BibTeX XML Cite \textit{V. A. Cimmelli} et al., Entropy 16, No. 3, 1756--1807 (2014; Zbl 1338.82034) Full Text: DOI
Arima, Takashi; Ruggeri, Tommaso; Sugiyama, Masaru; Taniguchi, Shigeru On the six-field model of fluids based on extended thermodynamics. (English) Zbl 1299.76007 Meccanica 49, No. 9, 2181-2187 (2014). MSC: 76A02 80A17 82D15 PDF BibTeX XML Cite \textit{T. Arima} et al., Meccanica 49, No. 9, 2181--2187 (2014; Zbl 1299.76007) Full Text: DOI
Dolera, Emanuele; Regazzini, Eugenio Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions. (English) Zbl 1319.60041 Probab. Theory Relat. Fields 160, No. 1-2, 315-389 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 60F05 35Q20 60G57 82C40 PDF BibTeX XML Cite \textit{E. Dolera} and \textit{E. Regazzini}, Probab. Theory Relat. Fields 160, No. 1--2, 315--389 (2014; Zbl 1319.60041) Full Text: DOI arXiv
Ruggeri, Tommaso; Sugiyama, Masaru Recent developments in extended thermodynamics of dense and rarefied polyatomic gases. (English) Zbl 1304.80001 Acta Appl. Math. 132, No. 1, 527-548 (2014). MSC: 80A10 82C40 76P05 PDF BibTeX XML Cite \textit{T. Ruggeri} and \textit{M. Sugiyama}, Acta Appl. Math. 132, No. 1, 527--548 (2014; Zbl 1304.80001) Full Text: DOI
Arima, Takashi; Taniguchi, Shigeru; Ruggeri, Tommaso; Sugiyama, Masaru A study of linear waves based on extended thermodynamics for rarefied polyatomic gases. (English) Zbl 1295.76017 Acta Appl. Math. 132, No. 1, 15-25 (2014). MSC: 76J20 82C35 76N15 76P05 PDF BibTeX XML Cite \textit{T. Arima} et al., Acta Appl. Math. 132, No. 1, 15--25 (2014; Zbl 1295.76017) Full Text: DOI
Arima, Takashi; Taniguchi, Shigeru; Ruggeri, Tommaso Dispersion relation for sound in rarefied polyatomic gases based on extended thermodynamics. (English) Zbl 1341.80004 Contin. Mech. Thermodyn. 25, No. 6, 727-737 (2013). MSC: 80A10 82C40 76P05 PDF BibTeX XML Cite \textit{T. Arima} et al., Contin. Mech. Thermodyn. 25, No. 6, 727--737 (2013; Zbl 1341.80004) Full Text: DOI
Mischler, Stéphane; Mouhot, Clément Kac’s program in kinetic theory. (English) Zbl 1274.82048 Invent. Math. 193, No. 1, 1-147 (2013). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C40 76P05 54C70 60J75 PDF BibTeX XML Cite \textit{S. Mischler} and \textit{C. Mouhot}, Invent. Math. 193, No. 1, 1--147 (2013; Zbl 1274.82048) Full Text: DOI arXiv
Arima, T.; Taniguchi, S.; Ruggeri, T.; Sugiyama, M. Extended thermodynamics of dense gases. (English) Zbl 1318.80001 Contin. Mech. Thermodyn. 24, No. 4-6, 271-292 (2012). MSC: 80A17 74A20 76P05 PDF BibTeX XML Cite \textit{T. Arima} et al., Contin. Mech. Thermodyn. 24, No. 4--6, 271--292 (2012; Zbl 1318.80001) Full Text: DOI
Ruggeri, Tommaso Can constitutive relations be represented by non-local equations? (English) Zbl 1421.74011 Q. Appl. Math. 70, No. 3, 597-611 (2012). MSC: 74A20 74A15 80A17 35Q35 PDF BibTeX XML Cite \textit{T. Ruggeri}, Q. Appl. Math. 70, No. 3, 597--611 (2012; Zbl 1421.74011) Full Text: DOI
Lu, Xuguang On backward solutions of the spatially homogeneous Boltzmann equation for Maxwelian molecules. (English) Zbl 1254.76128 J. Stat. Phys. 147, No. 5, 991-1006 (2012). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 76P05 82C40 82D05 PDF BibTeX XML Cite \textit{X. Lu}, J. Stat. Phys. 147, No. 5, 991--1006 (2012; Zbl 1254.76128) Full Text: DOI
Bennett, Sam; Asinari, Pietro; Dellar, Paul J. A lattice Boltzmann model for diffusion of binary gas mixtures that includes diffusion slip. (English) Zbl 1426.76592 Int. J. Numer. Methods Fluids 69, No. 1, 171-189 (2012). MSC: 76M28 76N15 PDF BibTeX XML Cite \textit{S. Bennett} et al., Int. J. Numer. Methods Fluids 69, No. 1, 171--189 (2012; Zbl 1426.76592) Full Text: DOI
Laibida, A. jun.; Marques, W. jun. Grad’s moment method for Vehicular traffic. (English) Zbl 1456.82822 J. Stat. Mech. Theory Exp. 2010, No. 10, Paper No. P10006, 18 p. (2010). MSC: 82C40 90B20 PDF BibTeX XML Cite \textit{A. Laibida jun.} and \textit{W. Marques jun.}, J. Stat. Mech. Theory Exp. 2010, No. 10, Paper No. P10006, 18 p. (2010; Zbl 1456.82822) Full Text: DOI
Dayal, Kaushik; James, Richard D. Nonequilibrium molecular dynamics for bulk materials and nanostructures. (English) Zbl 1193.82038 J. Mech. Phys. Solids 58, No. 2, 145-163 (2010). MSC: 82C80 PDF BibTeX XML Cite \textit{K. Dayal} and \textit{R. D. James}, J. Mech. Phys. Solids 58, No. 2, 145--163 (2010; Zbl 1193.82038) Full Text: DOI
Santos, Andrés Solutions of the moment hierarchy in the kinetic theory of Maxwell models. (English) Zbl 1234.76049 Contin. Mech. Thermodyn. 21, No. 5, 361-387 (2009). MSC: 76P05 82C40 PDF BibTeX XML Cite \textit{A. Santos}, Contin. Mech. Thermodyn. 21, No. 5, 361--387 (2009; Zbl 1234.76049) Full Text: DOI arXiv
Mizzi, S.; Barber, R. W.; Emerson, D. R.; Reese, J. M.; Stefanov, S. K. A phenomenological and extended continuum approach for modelling non-equilibrium flows. (English) Zbl 1160.74396 Contin. Mech. Thermodyn. 19, No. 5, 273-283 (2007). MSC: 74N15 74P05 82C40 PDF BibTeX XML Cite \textit{S. Mizzi} et al., Contin. Mech. Thermodyn. 19, No. 5, 273--283 (2007; Zbl 1160.74396) Full Text: DOI Link
Liu, I-Shih A method of differential iteration for boundary value problems in extended thermodynamics. (English) Zbl 1126.82033 Nonlinear Anal., Real World Appl. 8, No. 4, 1113-1131 (2007). Reviewer: David Jou (Bellaterra) MSC: 82C35 65F10 65N12 35K05 74A15 80A10 PDF BibTeX XML Cite \textit{I-S. Liu}, Nonlinear Anal., Real World Appl. 8, No. 4, 1113--1131 (2007; Zbl 1126.82033) Full Text: DOI
Cercignani, Carlo Weak solutions of the Boltzmann equation without angle cutoff. (English) Zbl 1108.82037 J. Stat. Phys. 123, No. 4, 753-762 (2006). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 76P05 35Q40 45A05 PDF BibTeX XML Cite \textit{C. Cercignani}, J. Stat. Phys. 123, No. 4, 753--762 (2006; Zbl 1108.82037) Full Text: DOI
Desvillettes, Laurent; Mouhot, Clément About \(L^p\) estimates for the spatially homogeneous Boltzmann equation. (English) Zbl 1077.76060 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 2, 127-142 (2005). MSC: 76P05 PDF BibTeX XML Cite \textit{L. Desvillettes} and \textit{C. Mouhot}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 2, 127--142 (2005; Zbl 1077.76060) Full Text: DOI arXiv Numdam EuDML
Struchtrup, Henning; Torrilhon, Manuel Regularization of grad’s 13 moment equations: derivation and linear analysis. (English) Zbl 1186.76504 Phys. Fluids 15, No. 9, Paper No. 2668, 13 p. (2003). MSC: 76-XX PDF BibTeX XML Cite \textit{H. Struchtrup} and \textit{M. Torrilhon}, Phys. Fluids 15, No. 9, Paper No. 2668, 13 p. (2003; Zbl 1186.76504) Full Text: DOI Link
Seeger, Steffen; Hoffmann, Karl Heinz The cumulant method applied to a mixture of Maxwell gases. (English) Zbl 1019.76044 Contin. Mech. Thermodyn. 14, No. 4, 321-335 (2002); erratum 16, No. 5, 515 (2004). MSC: 76P05 82D05 82B40 PDF BibTeX XML Cite \textit{S. Seeger} and \textit{K. H. Hoffmann}, Contin. Mech. Thermodyn. 14, No. 4, 321--335 (2002; Zbl 1019.76044) Full Text: DOI
Mascali, G.; Trovato, M. A nonlinear determination of the distribution function of degenerate gases with an application to semiconductors. (English) Zbl 0995.82048 Physica A 310, No. 1-2, 121-138 (2002). MSC: 82C40 PDF BibTeX XML Cite \textit{G. Mascali} and \textit{M. Trovato}, Physica A 310, No. 1--2, 121--138 (2002; Zbl 0995.82048) Full Text: DOI
Samojeden, L. L.; Kremer, G. M. The relativistic Burnett equations from a moment closure of the Anderson and Witting model equation. (English) Zbl 0994.82034 Physica A 307, No. 3-4, 354-374 (2002). MSC: 82B30 82C70 PDF BibTeX XML Cite \textit{L. L. Samojeden} and \textit{G. M. Kremer}, Physica A 307, No. 3--4, 354--374 (2002; Zbl 0994.82034) Full Text: DOI
Slemrod, Marshall Constitutive relations for rapid granular flow of smooth spheres: Generalized rational approximation to the sum of the Chapman-Enskog expansion. (English) Zbl 0986.35113 J. Differ. Equations 169, No. 2, 549-566 (2001). Reviewer: Reinhard Illner (Victoria) MSC: 35Q72 82C40 74E20 PDF BibTeX XML Cite \textit{M. Slemrod}, J. Differ. Equations 169, No. 2, 549--566 (2001; Zbl 0986.35113) Full Text: DOI
Cercignani, C.; Kremer, G. M. Moment closure of the relativistic Anderson and Witting model equation. (English) Zbl 0971.82516 Physica A 290, No. 1-2, 192-202 (2001). MSC: 82C70 PDF BibTeX XML Cite \textit{C. Cercignani} and \textit{G. M. Kremer}, Physica A 290, No. 1--2, 192--202 (2001; Zbl 0971.82516) Full Text: DOI
Svendsen, Bob; Bertram, Albrecht On frame-indifference and form-invariance in constitutive theory. (English) Zbl 0933.74004 Acta Mech. 132, No. 1-4, 195-207 (1998). MSC: 74A05 74A20 PDF BibTeX XML Cite \textit{B. Svendsen} and \textit{A. Bertram}, Acta Mech. 132, No. 1--4, 195--207 (1998; Zbl 0933.74004) Full Text: DOI
Kremer, G. M.; Müller, I. On the effect of a chemical reaction on heat conduction and dynamic pressure. (English) Zbl 0921.73233 Acta Mech. 132, No. 1-4, 37-45 (1998). MSC: 74S05 80A20 80A32 PDF BibTeX XML Cite \textit{G. M. Kremer} and \textit{I. Müller}, Acta Mech. 132, No. 1--4, 37--45 (1998; Zbl 0921.73233) Full Text: DOI
Kremer, G. M.; Müller, Ingo Thermal conductivity and dynamic pressure in extended thermodynamics of chemically reacting mixture of gases. (English) Zbl 0964.80007 Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 3, 309-334 (1998). MSC: 80A32 85A30 76N15 80A10 83C55 PDF BibTeX XML Cite \textit{G. M. Kremer} and \textit{I. Müller}, Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 3, 309--334 (1998; Zbl 0964.80007) Full Text: Numdam EuDML
Montanero, J. M.; Santos, A.; Garzó, V. Distribution function for large velocities of a two-dimensional gas under shear flow. (English) Zbl 0939.76080 J. Stat. Phys. 88, No. 5-6, 1165-1181 (1997). MSC: 76M35 76P05 82C40 PDF BibTeX XML Cite \textit{J. M. Montanero} et al., J. Stat. Phys. 88, No. 5--6, 1165--1181 (1997; Zbl 0939.76080) Full Text: DOI
Kremer, G. M. On the kinetic theory of relativistic gases. (English) Zbl 0891.76078 Contin. Mech. Thermodyn. 9, No. 1, 13-21 (1997). MSC: 76P05 82B40 83C99 PDF BibTeX XML Cite \textit{G. M. Kremer}, Contin. Mech. Thermodyn. 9, No. 1, 13--21 (1997; Zbl 0891.76078) Full Text: DOI
Reinecke, Suzana; Kremer, G. M. Burnett’s equations from a \((13+9N)\)-field theory. (English) Zbl 0848.76082 Contin. Mech. Thermodyn. 8, No. 2, 121-130 (1996). MSC: 76P05 82B40 PDF BibTeX XML Cite \textit{S. Reinecke} and \textit{G. M. Kremer}, Contin. Mech. Thermodyn. 8, No. 2, 121--130 (1996; Zbl 0848.76082) Full Text: DOI
Pennisi, S.; Trovato, M. Field equations for charge conducting fluids in electromagnetic fields. (English) Zbl 0842.76092 Contin. Mech. Thermodyn. 7, No. 4, 489-520 (1995). Reviewer: V.Čadež (Leuven) MSC: 76W05 80A17 76Y05 PDF BibTeX XML Cite \textit{S. Pennisi} and \textit{M. Trovato}, Contin. Mech. Thermodyn. 7, No. 4, 489--520 (1995; Zbl 0842.76092) Full Text: DOI
Sharipov, F. M.; Kremer, G. M. On the frame dependence of constitutive equations. I: Heat transfer through a rarefied gas between two rotating cylinders. (English) Zbl 0819.76004 Contin. Mech. Thermodyn. 7, No. 1, 57-71 (1995). MSC: 76A02 76P05 76U05 80A20 PDF BibTeX XML Cite \textit{F. M. Sharipov} and \textit{G. M. Kremer}, Contin. Mech. Thermodyn. 7, No. 1, 57--71 (1995; Zbl 0819.76004) Full Text: DOI
Gabetta, E.; Toscani, G.; Wennberg, B. Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation. (English) Zbl 1081.82616 J. Stat. Phys. 81, No. 5-6, 901-934 (1995). MSC: 82C40 76P05 PDF BibTeX XML Cite \textit{E. Gabetta} et al., J. Stat. Phys. 81, No. 5--6, 901--934 (1995; Zbl 1081.82616) Full Text: DOI
Cercignani, Carlo; Cortese, Stefano Validation of a Monte Carlo simulation of the plane Couette flow of a rarefied gas. (English) Zbl 0834.76066 J. Stat. Phys. 75, No. 5-6, 817-838 (1994). MSC: 76M25 76P05 65C05 PDF BibTeX XML Cite \textit{C. Cercignani} and \textit{S. Cortese}, J. Stat. Phys. 75, No. 5--6, 817--838 (1994; Zbl 0834.76066) Full Text: DOI
Fernandes, A. S.; Kremer, G. M. Kinetic and phenomenological theories for the linearized Burnett equations of a molecular gas. (English) Zbl 0766.76085 Contin. Mech. Thermodyn. 5, No. 1, 67-81 (1993). MSC: 76P05 82B40 PDF BibTeX XML Cite \textit{A. S. Fernandes} and \textit{G. M. Kremer}, Contin. Mech. Thermodyn. 5, No. 1, 67--81 (1993; Zbl 0766.76085) Full Text: DOI
Reinecke, S.; Kremer, G. M. A generalization of the Chapman-Enskog and Grad methods. (English) Zbl 0760.76080 Contin. Mech. Thermodyn. 3, No. 3, 155-167 (1991). MSC: 76P05 82B40 PDF BibTeX XML Cite \textit{S. Reinecke} and \textit{G. M. Kremer}, Contin. Mech. Thermodyn. 3, No. 3, 155--167 (1991; Zbl 0760.76080) Full Text: DOI
Rodríguez, R. F.; de Haro, M. L. On the closure assumption in extended irreversible thermodynamics. (English) Zbl 0668.76082 J. Non-Equilibrium Thermodyn. 14, No. 1, 37-44 (1989). MSC: 76N15 82B35 PDF BibTeX XML Cite \textit{R. F. Rodríguez} and \textit{M. L. de Haro}, J. Non-Equilibrium Thermodyn. 14, No. 1, 37--44 (1989; Zbl 0668.76082) Full Text: DOI
Kremer, G. M. Extended thermodynamics of mixtures of ideal gases. (English) Zbl 0645.76103 Int. J. Eng. Sci. 25, 95-115 (1987). Reviewer: W.Muschik MSC: 76T99 82B10 PDF BibTeX XML Cite \textit{G. M. Kremer}, Int. J. Eng. Sci. 25, 95--115 (1987; Zbl 0645.76103) Full Text: DOI
Liu, I-Shih Extended thermodynamics of fluids and virial equations of state. (English) Zbl 0584.76002 Arch. Ration. Mech. Anal. 88, 1-23 (1985). Reviewer: W.Muschik MSC: 76A02 80A05 PDF BibTeX XML Cite \textit{I-S. Liu}, Arch. Ration. Mech. Anal. 88, 1--23 (1985; Zbl 0584.76002) Full Text: DOI
Heckl, Maria; Müller, I. Frame dependence, entropy, entropy flux, and wave speeds in mixtures of gases. (English) Zbl 0555.76056 Acta Mech. 50, 71-95 (1983). Reviewer: W.F.Schmidt MSC: 76N15 82B40 PDF BibTeX XML Cite \textit{M. Heckl} and \textit{I. Müller}, Acta Mech. 50, 71--95 (1983; Zbl 0555.76056) Full Text: DOI
Liu, I-Shih; Müller, Ingo Extended thermodynamics of classical and degenerate ideal gases. (English) Zbl 0554.76014 Arch. Ration. Mech. Anal. 83, 285-332 (1983). Reviewer: W.Muschik MSC: 76A99 76N15 80A05 82B40 PDF BibTeX XML Cite \textit{I-S. Liu} and \textit{I. Müller}, Arch. Ration. Mech. Anal. 83, 285--332 (1983; Zbl 0554.76014) Full Text: DOI
Funaki, Tadahisa The diffusion approximation of the Boltzmann equation of Maxwellian molecules. (English) Zbl 0536.60098 Publ. Res. Inst. Math. Sci. 19, 841-886 (1983). Reviewer: M.Mürmann MSC: 60K35 60J85 35G10 35K25 60J35 PDF BibTeX XML Cite \textit{T. Funaki}, Publ. Res. Inst. Math. Sci. 19, 841--886 (1983; Zbl 0536.60098) Full Text: DOI
Murdoch, A. I. On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases. (English) Zbl 0533.76077 Arch. Ration. Mech. Anal. 83, 185-194 (1983). Reviewer: A.Bressan MSC: 76P05 76A02 PDF BibTeX XML Cite \textit{A. I. Murdoch}, Arch. Ration. Mech. Anal. 83, 185--194 (1983; Zbl 0533.76077) Full Text: DOI
Weinert, Ulrich Spherical tensor representation. (English) Zbl 0447.15018 Arch. Ration. Mech. Anal. 74, 165-196 (1980). MSC: 15A72 53A45 33C55 20C35 81R10 PDF BibTeX XML Cite \textit{U. Weinert}, Arch. Ration. Mech. Anal. 74, 165--196 (1980; Zbl 0447.15018) Full Text: DOI
Muncaster, Robert G. On generating exact solutions of the Maxwell-Boltzmann equation. (English) Zbl 0424.76061 Arch. Ration. Mech. Anal. 70, 79-90 (1979). MSC: 76P05 82B40 82B05 PDF BibTeX XML Cite \textit{R. G. Muncaster}, Arch. Ration. Mech. Anal. 70, 79--90 (1979; Zbl 0424.76061) Full Text: DOI
Shavaliev, M. Sh. The Barnett approximation of the distribution function and the super- Barnett contributions to the stress tensor and the heat flux. (English. Russian original) Zbl 0421.76049 J. Appl. Math. Mech. 42, 698-702 (1979); translation from Prikl. Mat. Mekh. 42, 656-660 (1978). MSC: 76P05 76N99 PDF BibTeX XML Cite \textit{M. Sh. Shavaliev}, J. Appl. Math. Mech. 42, 698--702 (1979; Zbl 0421.76049); translation from Prikl. Mat. Mekh. 42, 656--660 (1978) Full Text: DOI
Tanaka, Hiroshi Probabilistic treatment of the Boltzmann equation of Maxwellian molecules. (English) Zbl 0389.60079 Z. Wahrscheinlichkeitstheor. Verw. Geb. 46, 67-105 (1978). MSC: 60K35 60H10 60J75 PDF BibTeX XML Cite \textit{H. Tanaka}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 46, 67--105 (1978; Zbl 0389.60079) Full Text: DOI
Shavaliev, M. Sh. Transport phenomena in the Burnett approximation for multicomponent gas mixtures. (English. Russian original) Zbl 0307.76043 Fluid Dyn. 9(1974), 96-104 (1975); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1974, No. 1, 126-137 (1974). MSC: 76P05 PDF BibTeX XML Cite \textit{M. Sh. Shavaliev}, Fluid Dyn. 9, 96--104 (1975; Zbl 0307.76043); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1974, No. 1, 126--137 (1974) Full Text: DOI
Galkin, V. S.; Kogan, M. N.; Fridlender, O. G. Some kinetic effects in continuum flows. (English) Zbl 0254.76040 Fluid Dyn. 5(1970), 364-371 (1973). MSC: 76D99 PDF BibTeX XML Cite \textit{V. S. Galkin} et al., Fluid Dyn. 5, 364--371 (1973; Zbl 0254.76040) Full Text: DOI
Müller, Ingo On the frame dependence of stress and heat flux. (English) Zbl 0243.76051 Arch. Ration. Mech. Anal. 45, 241-250 (1972). MSC: 76P05 PDF BibTeX XML Cite \textit{I. Müller}, Arch. Ration. Mech. Anal. 45, 241--250 (1972; Zbl 0243.76051) Full Text: DOI
Chusov, M. A. On the derivation of Grad’s hydrodynamic equations. ( Computation of transport coefficients of an arbitrary order.). (English. Russian original) Zbl 0217.56401 PMM, J. Appl. Math. Mech. 32, 1153-1161 (1968); translation from Prikl. Mat. Mekh. 32, 1132-1139 (1968). MSC: 76N20 PDF BibTeX XML Cite \textit{M. A. Chusov}, PMM, J. Appl. Math. Mech. 32, 1153--1161 (1968; Zbl 0217.56401); translation from Prikl. Mat. Mekh. 32, 1132--1139 (1968) Full Text: DOI
Müller, I. On diffusion and thermal diffusion in a mixture of Maxwellian gases. (English) Zbl 0165.58801 Arch. Ration. Mech. Anal. 31, 255-270 (1968). PDF BibTeX XML Cite \textit{I. Müller}, Arch. Ration. Mech. Anal. 31, 255--270 (1968; Zbl 0165.58801) Full Text: DOI
Ikenberry, E. The evaluation of collision integrals, using Grad’s representation of the distribution function. (English) Zbl 0090.22903 Arch. Ration. Mech. Anal. 3, 123-132 (1959). PDF BibTeX XML Cite \textit{E. Ikenberry}, Arch. Ration. Mech. Anal. 3, 123--132 (1959; Zbl 0090.22903) Full Text: DOI
Johnson, D. E.; Ikenberry, E. Developments toward a series solution of the Maxwell-Boltzmann equation. (English) Zbl 0093.22303 Arch. Ration. Mech. Anal. 2, 41-65 (1958). PDF BibTeX XML Cite \textit{D. E. Johnson} and \textit{E. Ikenberry}, Arch. Ration. Mech. Anal. 2, 41--65 (1958; Zbl 0093.22303) Full Text: DOI