Groth, Clinton P. T.; McDonald, James G. Towards physically realizable and hyperbolic moment closures for kinetic theory. (English) Zbl 1184.76839 Contin. Mech. Thermodyn. 21, No. 6, 467-493 (2009). MSC: 76P05 82C40 PDFBibTeX XMLCite \textit{C. P. T. Groth} and \textit{J. G. McDonald}, Contin. Mech. Thermodyn. 21, No. 6, 467--493 (2009; Zbl 1184.76839) Full Text: DOI
John, Benzi; Damodaran, M. Computation of head-disk interface gap micro flowfields using DSMC and continuum-atomistic hybrid methods. (English) Zbl 1422.76142 Int. J. Numer. Methods Fluids 61, No. 11, 1273-1298 (2009). MSC: 76M25 65C05 PDFBibTeX XMLCite \textit{B. John} and \textit{M. Damodaran}, Int. J. Numer. Methods Fluids 61, No. 11, 1273--1298 (2009; Zbl 1422.76142) Full Text: DOI
Tompson, R. V.; Tipton, E. L.; Loyalka, S. K. Chapman-Enskog solutions to arbitrary order in Sonine polynomials. IV: Summational expressions for the diffusion- and thermal conductivity-related bracket integrals. (English) Zbl 1176.76118 Eur. J. Mech., B, Fluids 28, No. 6, 695-721 (2009). MSC: 76P05 PDFBibTeX XMLCite \textit{R. V. Tompson} et al., Eur. J. Mech., B, Fluids 28, No. 6, 695--721 (2009; Zbl 1176.76118) Full Text: DOI
Niu, Xiao-Dong; Hyodo, Shiaki; Suga, Kazuhiko; Yamaguchi, Hiroshi Lattice Boltzmann simulation of gas flow over micro-scale airfoils. (English) Zbl 1177.76322 Comput. Fluids 38, No. 9, 1675-1681 (2009). MSC: 76M28 76N15 PDFBibTeX XMLCite \textit{X.-D. Niu} et al., Comput. Fluids 38, No. 9, 1675--1681 (2009; Zbl 1177.76322) Full Text: DOI
Cai, Yongyong; Zhou, Shulin Existence and uniqueness of weak solutions for a non-uniformly parabolic equation. (English) Zbl 1184.35155 J. Funct. Anal. 257, No. 10, 3021-3042 (2009). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35D30 35K20 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{S. Zhou}, J. Funct. Anal. 257, No. 10, 3021--3042 (2009; Zbl 1184.35155) Full Text: DOI
Valentini, Paolo; Schwartzentruber, Thomas E. A combined event-driven/time-driven molecular dynamics algorithm for the simulation of shock waves in rarefied gases. (English) Zbl 1287.76197 J. Comput. Phys. 228, No. 23, 8766-8778 (2009). MSC: 76P05 76L05 PDFBibTeX XMLCite \textit{P. Valentini} and \textit{T. E. Schwartzentruber}, J. Comput. Phys. 228, No. 23, 8766--8778 (2009; Zbl 1287.76197) Full Text: DOI
Fox, R. O. Higher-order quadrature-based moment methods for kinetic equations. (English) Zbl 1391.82049 J. Comput. Phys. 228, No. 20, 7771-7791 (2009). MSC: 82C80 65M75 76P05 82C40 PDFBibTeX XMLCite \textit{R. O. Fox}, J. Comput. Phys. 228, No. 20, 7771--7791 (2009; Zbl 1391.82049) Full Text: DOI
Tipton, E. L.; Tompson, R. V.; Loyalka, S. K. Chapman-Enskog solutions to arbitrary order in Sonine polynomials. III: Diffusion, thermal diffusion, and thermal conductivity in a binary, rigid-sphere, gas mixture. (English) Zbl 1167.76363 Eur. J. Mech., B, Fluids 28, No. 3, 353-386 (2009). MSC: 76P05 76R50 82B40 PDFBibTeX XMLCite \textit{E. L. Tipton} et al., Eur. J. Mech., B, Fluids 28, No. 3, 353--386 (2009; Zbl 1167.76363) Full Text: DOI
Tipton, E. L.; Tompson, R. V.; Loyalka, S. K. Chapman-Enskog solutions to arbitrary order in Sonine polynomials. II: Viscosity in a binary, rigid-sphere, gas mixture. (English) Zbl 1167.76362 Eur. J. Mech., B, Fluids 28, No. 3, 335-352 (2009). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{E. L. Tipton} et al., Eur. J. Mech., B, Fluids 28, No. 3, 335--352 (2009; Zbl 1167.76362) Full Text: DOI
Saint-Raymond, Laure Hydrodynamic limits: Some improvements of the relative entropy method. (English) Zbl 1170.35500 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 705-744 (2009). MSC: 35Q35 76P05 76Q05 PDFBibTeX XMLCite \textit{L. Saint-Raymond}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 705--744 (2009; Zbl 1170.35500) Full Text: DOI EuDML
Ahn, Jae Wan; Kim, Chongam An axisymmetric computational model of generalized hydrodynamic theory for rarefied multi-species gas flows. (English) Zbl 1273.76355 J. Comput. Phys. 228, No. 11, 4088-4117 (2009). MSC: 76N15 76J20 PDFBibTeX XMLCite \textit{J. W. Ahn} and \textit{C. Kim}, J. Comput. Phys. 228, No. 11, 4088--4117 (2009; Zbl 1273.76355) Full Text: DOI
Scott, Stephen J.; Shrimpton, John S. Experimental investigation of a maximum entropy assumption for acceleration terms within a poly-disperse moment framework. (English) Zbl 1369.76001 Int. J. Numer. Methods Fluids 60, No. 6, 669-689 (2009). MSC: 76-05 76T99 PDFBibTeX XMLCite \textit{S. J. Scott} and \textit{J. S. Shrimpton}, Int. J. Numer. Methods Fluids 60, No. 6, 669--689 (2009; Zbl 1369.76001) Full Text: DOI
Ni, Guoxi; Jiang, Song; Xu, Kun Remapping-free ALE-type kinetic method for flow computations. (English) Zbl 1282.76155 J. Comput. Phys. 228, No. 8, 3154-3171 (2009). MSC: 76M28 65M06 76P05 76T10 35Q30 76M10 PDFBibTeX XMLCite \textit{G. Ni} et al., J. Comput. Phys. 228, No. 8, 3154--3171 (2009; Zbl 1282.76155) Full Text: DOI
Yan, Guangwu; Zhang, Jianying A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation. (English) Zbl 1159.65086 Math. Comput. Simul. 79, No. 5, 1554-1565 (2009). MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{G. Yan} and \textit{J. Zhang}, Math. Comput. Simul. 79, No. 5, 1554--1565 (2009; Zbl 1159.65086) Full Text: DOI
Premnath, Kannan N.; Pattison, Martin J.; Banerjee, Sanjoy Steady state convergence acceleration of the generalized lattice Boltzmann equation with forcing term through preconditioning. (English) Zbl 1259.76059 J. Comput. Phys. 228, No. 3, 746-769 (2009). MSC: 76M28 76P05 82C40 76W05 PDFBibTeX XMLCite \textit{K. N. Premnath} et al., J. Comput. Phys. 228, No. 3, 746--769 (2009; Zbl 1259.76059) Full Text: DOI arXiv
Kosuge, Shingo Model Boltzmann equation for gas mixtures: Construction and numerical comparison. (English) Zbl 1153.76410 Eur. J. Mech., B, Fluids 28, No. 1, 170-184 (2009). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{S. Kosuge}, Eur. J. Mech., B, Fluids 28, No. 1, 170--184 (2009; Zbl 1153.76410) Full Text: DOI
Struchtrup, H. Linear kinetic heat transfer: moment equations, boundary conditions, and Knudsen layers. (English) Zbl 1395.82210 Physica A 387, No. 8-9, 1750-1766 (2008). MSC: 82C40 PDFBibTeX XMLCite \textit{H. Struchtrup}, Physica A 387, No. 8--9, 1750--1766 (2008; Zbl 1395.82210) Full Text: DOI
Gibbons, John; Holm, Darryl D.; Tronci, Cesare Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket. (English) Zbl 1221.82102 Phys. Lett., A 372, No. 23, 4184-4196 (2008). MSC: 82C40 37K05 37N20 PDFBibTeX XMLCite \textit{J. Gibbons} et al., Phys. Lett., A 372, No. 23, 4184--4196 (2008; Zbl 1221.82102) Full Text: DOI arXiv
Mehravaran, Meisam; Hannani, Siamak Kazemzadeh Simulation of incompressible two-phase flows with large density differences employing lattice Boltzmann and level set methods. (English) Zbl 1194.76232 Comput. Methods Appl. Mech. Eng. 198, No. 2, 223-233 (2008). MSC: 76M28 76M25 76T10 PDFBibTeX XMLCite \textit{M. Mehravaran} and \textit{S. K. Hannani}, Comput. Methods Appl. Mech. Eng. 198, No. 2, 223--233 (2008; Zbl 1194.76232) Full Text: DOI
Méolans, J. G.; Graur, I. A. Continuum analytical modelling of thermal creep. (English) Zbl 1151.76562 Eur. J. Mech., B, Fluids 27, No. 6, 785-809 (2008). MSC: 76N15 80A20 PDFBibTeX XMLCite \textit{J. G. Méolans} and \textit{I. A. Graur}, Eur. J. Mech., B, Fluids 27, No. 6, 785--809 (2008; Zbl 1151.76562) Full Text: DOI
Shi, Yu-Hsin; Yang, J. Y. A gas-kinetic BGK scheme for semiclassical Boltzmann hydrodynamic transport. (English) Zbl 1231.82056 J. Comput. Phys. 227, No. 22, 9389-9407 (2008). MSC: 82C40 65M75 76M28 PDFBibTeX XMLCite \textit{Y.-H. Shi} and \textit{J. Y. Yang}, J. Comput. Phys. 227, No. 22, 9389--9407 (2008; Zbl 1231.82056) Full Text: DOI Link
Huang, Feimin; Xin, Zhouping; Yang, Tong Contact discontinuity with general perturbations for gas motions. (English) Zbl 1155.35068 Adv. Math. 219, No. 4, 1246-1297 (2008). MSC: 35Q30 35B35 35B40 76N15 76P05 PDFBibTeX XMLCite \textit{F. Huang} et al., Adv. Math. 219, No. 4, 1246--1297 (2008; Zbl 1155.35068) Full Text: DOI
Deledicque, Vincent; Papalexandris, Miltiadis V. A conservative approximation to compressible two-phase flow models in the stiff mechanical relaxation limit. (English) Zbl 1202.76146 J. Comput. Phys. 227, No. 21, 9241-9270 (2008). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76T15 76V05 76N15 PDFBibTeX XMLCite \textit{V. Deledicque} and \textit{M. V. Papalexandris}, J. Comput. Phys. 227, No. 21, 9241--9270 (2008; Zbl 1202.76146) Full Text: DOI
Kim, Seung Hyun; Pitsch, Heinz; Boyd, Iain D. Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers. (English) Zbl 1147.82027 J. Comput. Phys. 227, No. 19, 8655-8671 (2008). MSC: 82C40 76P05 76M28 82C80 PDFBibTeX XMLCite \textit{S. H. Kim} et al., J. Comput. Phys. 227, No. 19, 8655--8671 (2008; Zbl 1147.82027) Full Text: DOI
Lu, Xuguang On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: global existence of weak solutions. (English) Zbl 1167.35007 J. Differ. Equations 245, No. 7, 1705-1761 (2008). MSC: 35F20 82C99 76P05 PDFBibTeX XMLCite \textit{X. Lu}, J. Differ. Equations 245, No. 7, 1705--1761 (2008; Zbl 1167.35007) Full Text: DOI
Saint-Raymond, Laure From Boltzmann’s kinetic theory to Euler’s equations. (English) Zbl 1143.76566 Physica D 237, No. 14-17, 2028-2036 (2008). MSC: 76P05 76A02 82D15 PDFBibTeX XMLCite \textit{L. Saint-Raymond}, Physica D 237, No. 14--17, 2028--2036 (2008; Zbl 1143.76566) 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
Fox, R. O. A quadrature-based third-order moment method for dilute gas-particle flows. (English) Zbl 1388.76247 J. Comput. Phys. 227, No. 12, 6313-6350 (2008). MSC: 76M25 76P05 82C40 PDFBibTeX XMLCite \textit{R. O. Fox}, J. Comput. Phys. 227, No. 12, 6313--6350 (2008; Zbl 1388.76247) Full Text: DOI
Ni, Guoxi; Jiang, Song; Xu, Kun A DGBGK scheme based on WENO limiters for viscous and inviscid flows. (English) Zbl 1220.76044 J. Comput. Phys. 227, No. 11, 5799-5815 (2008). MSC: 76M10 65M06 PDFBibTeX XMLCite \textit{G. Ni} et al., J. Comput. Phys. 227, No. 11, 5799--5815 (2008; Zbl 1220.76044) Full Text: DOI
Xu, Kun; He, Xin; Cai, Chunpei Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations. (English) Zbl 1338.76104 J. Comput. Phys. 227, No. 14, 6779-6794 (2008). MSC: 76M25 76K05 76P05 PDFBibTeX XMLCite \textit{K. Xu} et al., J. Comput. Phys. 227, No. 14, 6779--6794 (2008; Zbl 1338.76104) Full Text: DOI
Zhang, Zhenyu; Xu, Jianzhong; Qi, Zhiguo; Xi, Guang A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows. (English) Zbl 1388.76321 J. Comput. Phys. 227, No. 10, 5256-5271 (2008). MSC: 76M28 76P05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Comput. Phys. 227, No. 10, 5256--5271 (2008; Zbl 1388.76321) Full Text: DOI
Guo, Zhaoli; Liu, Hongwei; Luo, Li-Shi; Xu, Kun A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows. (English) Zbl 1388.76291 J. Comput. Phys. 227, No. 10, 4955-4976 (2008). MSC: 76M28 76M12 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Comput. Phys. 227, No. 10, 4955--4976 (2008; Zbl 1388.76291) Full Text: DOI
Asinari, Pietro; Luo, Li-Shi A consistent lattice Boltzmann equation with baroclinic coupling for mixtures. (English) Zbl 1142.82017 J. Comput. Phys. 227, No. 8, 3878-3895 (2008). MSC: 82C40 76P05 76F25 76F65 76D05 82D15 PDFBibTeX XMLCite \textit{P. Asinari} and \textit{L.-S. Luo}, J. Comput. Phys. 227, No. 8, 3878--3895 (2008; Zbl 1142.82017) Full Text: DOI
Ni, Guoxi; Jiang, Song; Xu, Kun Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes. (English) Zbl 1255.76095 J. Comput. Phys. 227, No. 6, 3015-3031 (2008). MSC: 76M25 76N15 PDFBibTeX XMLCite \textit{G. Ni} et al., J. Comput. Phys. 227, No. 6, 3015--3031 (2008; Zbl 1255.76095) Full Text: DOI
Torrilhon, Manuel; Struchtrup, Henning Boundary conditions for regularized 13-moment-equations for micro-channel-flows. (English) Zbl 1132.76049 J. Comput. Phys. 227, No. 3, 1982-2011 (2008). MSC: 76P05 76M20 PDFBibTeX XMLCite \textit{M. Torrilhon} and \textit{H. Struchtrup}, J. Comput. Phys. 227, No. 3, 1982--2011 (2008; Zbl 1132.76049) Full Text: DOI
Chaves, M.; Galaktionov, V. A. \(L^{\infty }\) and decay estimates for higher-order semilinear diffusion-absorption equations. (English) Zbl 1141.35010 J. Math. Anal. Appl. 341, No. 1, 575-587 (2008). MSC: 35B45 35K30 35B40 PDFBibTeX XMLCite \textit{M. Chaves} and \textit{V. A. Galaktionov}, J. Math. Anal. Appl. 341, No. 1, 575--587 (2008; Zbl 1141.35010) Full Text: DOI
Wang, Moran; Li, Zhixin An Enskog based Monte Carlo method for high Knudsen number non-ideal gas flows. (English) Zbl 1194.76244 Comput. Fluids 36, No. 8, 1291-1297 (2007). MSC: 76M35 76P05 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Z. Li}, Comput. Fluids 36, No. 8, 1291--1297 (2007; Zbl 1194.76244) Full Text: DOI Link
Yang, Jaw-Yen; Hsieh, Tse-Yang; Shi, Yu-Hsin; Xu, Kun High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics. (English) Zbl 1388.82005 J. Comput. Phys. 227, No. 2, 967-982 (2007). MSC: 82B10 65M06 76Y05 82B80 PDFBibTeX XMLCite \textit{J.-Y. Yang} et al., J. Comput. Phys. 227, No. 2, 967--982 (2007; Zbl 1388.82005) Full Text: DOI
Gu, X. J.; Emerson, D. R. A computational strategy for the regularized 13 moment equations with enhanced wall-boundary conditions. (English) Zbl 1201.76127 J. Comput. Phys. 225, No. 1, 263-283 (2007). MSC: 76M12 76M25 76N15 PDFBibTeX XMLCite \textit{X. J. Gu} and \textit{D. R. Emerson}, J. Comput. Phys. 225, No. 1, 263--283 (2007; Zbl 1201.76127) Full Text: DOI
Pelliccioni, O.; Cerrolaza, M.; Herrera, M. Lattice Boltzmann dynamic simulation of a mechanical heart valve device. (English) Zbl 1111.92014 Math. Comput. Simul. 75, No. 1-2, 1-14 (2007). MSC: 92C35 65C20 92-08 PDFBibTeX XMLCite \textit{O. Pelliccioni} et al., Math. Comput. Simul. 75, No. 1--2, 1--14 (2007; Zbl 1111.92014) Full Text: DOI
Jiang, Song; Ni, Guoxi A second-order \(\gamma\)-model BGK scheme for multimaterial compressible flows. (English) Zbl 1190.76159 Appl. Numer. Math. 57, No. 5-7, 597-608 (2007). MSC: 76N15 76M28 65M99 PDFBibTeX XMLCite \textit{S. Jiang} and \textit{G. Ni}, Appl. Numer. Math. 57, No. 5--7, 597--608 (2007; Zbl 1190.76159) Full Text: DOI
Shi, Yu-Hsin; Huang, J. C.; Yang, J. Y. High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics. (English) Zbl 1127.76038 J. Comput. Phys. 222, No. 2, 573-591 (2007). MSC: 76M12 76Y05 76L05 PDFBibTeX XMLCite \textit{Y.-H. Shi} et al., J. Comput. Phys. 222, No. 2, 573--591 (2007; Zbl 1127.76038) Full Text: DOI Link
Takata, Shigeru; Sugimoto, Hiroshi; Kosuge, Shingo Gas separation by means of the Knudsen compressor. (English) Zbl 1124.76048 Eur. J. Mech., B, Fluids 26, No. 2, 155-181 (2007). MSC: 76P05 PDFBibTeX XMLCite \textit{S. Takata} et al., Eur. J. Mech., B, Fluids 26, No. 2, 155--181 (2007; Zbl 1124.76048) Full Text: DOI
Jin, Changqiu; Xu, Kun A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation. (English) Zbl 1216.76046 J. Comput. Phys. 222, No. 1, 155-175 (2007). MSC: 76M25 65M06 76P05 PDFBibTeX XMLCite \textit{C. Jin} and \textit{K. Xu}, J. Comput. Phys. 222, No. 1, 155--175 (2007; Zbl 1216.76046) 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
Frezzotti, Aldo A numerical investigation of the steady evaporation of a polyatomic gas. (English) Zbl 1105.76057 Eur. J. Mech., B, Fluids 26, No. 1, 93-104 (2007). MSC: 76T10 76M35 80A22 82B40 PDFBibTeX XMLCite \textit{A. Frezzotti}, Eur. J. Mech., B, Fluids 26, No. 1, 93--104 (2007; Zbl 1105.76057) Full Text: DOI
Kröger, Martin; Hütter, Markus Symbolic computation of the phoretic acceleration of convex particles suspended in a non-uniform gas. (English) Zbl 1196.82052 Comput. Phys. Commun. 175, No. 10, 650-664 (2006). MSC: 82-08 PDFBibTeX XMLCite \textit{M. Kröger} and \textit{M. Hütter}, Comput. Phys. Commun. 175, No. 10, 650--664 (2006; Zbl 1196.82052) Full Text: DOI
Ye, Wenjing; Yoon, Yong-Kyu; Allen, Mark Theoretical investigation of gas separation inside a microchannel by thermal diffusion. (English) Zbl 1195.76355 Eng. Anal. Bound. Elem. 30, No. 11, 1006-1010 (2006). MSC: 76P05 80A20 PDFBibTeX XMLCite \textit{W. Ye} et al., Eng. Anal. Bound. Elem. 30, No. 11, 1006--1010 (2006; Zbl 1195.76355) Full Text: DOI
Zheng, Yingsong; Reese, Jason M.; Struchtrup, Henning Comparing macroscopic continuum models for rarefied gas dynamics: a new test method. (English) Zbl 1162.76384 J. Comput. Phys. 218, No. 2, 748-769 (2006). MSC: 76P05 82B40 PDFBibTeX XMLCite \textit{Y. Zheng} et al., J. Comput. Phys. 218, No. 2, 748--769 (2006; Zbl 1162.76384) Full Text: DOI Link
Jin, Changqiu; Xu, Kun An adaptive grid method for two-dimensional viscous flows. (English) Zbl 1158.76417 J. Comput. Phys. 218, No. 1, 68-81 (2006). MSC: 76M28 65M55 76D05 76P05 PDFBibTeX XMLCite \textit{C. Jin} and \textit{K. Xu}, J. Comput. Phys. 218, No. 1, 68--81 (2006; Zbl 1158.76417) Full Text: DOI
Huang, Feimin; Yang, Tong Stability of contact discontinuity for the Boltzmann equation. (English) Zbl 1139.35330 J. Differ. Equations 229, No. 2, 698-742 (2006). MSC: 35F25 35B35 78A40 82C40 76P05 PDFBibTeX XMLCite \textit{F. Huang} and \textit{T. Yang}, J. Differ. Equations 229, No. 2, 698--742 (2006; Zbl 1139.35330) Full Text: DOI
Xu, Kun; Josyula, Eswar Gas-kinetic scheme for rarefied flow simulation. (English) Zbl 1116.76069 Math. Comput. Simul. 72, No. 2-6, 253-256 (2006). MSC: 76M28 76P05 PDFBibTeX XMLCite \textit{K. Xu} and \textit{E. Josyula}, Math. Comput. Simul. 72, No. 2--6, 253--256 (2006; Zbl 1116.76069) Full Text: DOI
Escudero, Carlos On one-dimensional models for hydrodynamics. (English) Zbl 1090.76009 Physica D 217, No. 1, 58-63 (2006). MSC: 76B03 76L05 35Q35 PDFBibTeX XMLCite \textit{C. Escudero}, Physica D 217, No. 1, 58--63 (2006; Zbl 1090.76009) Full Text: DOI arXiv
Vong, Seak-Weng The Boltzmann equation with frictional force. (English) Zbl 1329.82109 J. Differ. Equations 222, No. 1, 95-136 (2006). MSC: 82C40 76P05 35F20 35Q35 PDFBibTeX XMLCite \textit{S.-W. Vong}, J. Differ. Equations 222, No. 1, 95--136 (2006; Zbl 1329.82109) Full Text: DOI
Chang, Qingming; Alexander, J. Iwan D. Application of the lattice Boltzmann method to two-phase Rayleigh–Benard convection with a deformable interface. (English) Zbl 1084.76061 J. Comput. Phys. 212, No. 2, 473-489 (2006). MSC: 76M28 76R10 76D45 80A20 PDFBibTeX XMLCite \textit{Q. Chang} and \textit{J. I. D. Alexander}, J. Comput. Phys. 212, No. 2, 473--489 (2006; Zbl 1084.76061) Full Text: DOI
Jou, D.; Casas-Vazquez, J.; Lebon, G.; Grmela, M. A phenomenological scaling approach for heat transport in nano-systems. (English) Zbl 1081.80001 Appl. Math. Lett. 18, No. 8, 963-967 (2005). MSC: 80A20 82B35 PDFBibTeX XMLCite \textit{D. Jou} et al., Appl. Math. Lett. 18, No. 8, 963--967 (2005; Zbl 1081.80001) Full Text: DOI
Middha, P.; Wang, H. First-principle calculation for the high-temperature diffusion coefficients of small pairs: the H-Ar case. (English) Zbl 1076.80503 Combust. Theory Model. 9, No. 2, 353-363 (2005). MSC: 80A20 76R50 82C40 PDFBibTeX XMLCite \textit{P. Middha} and \textit{H. Wang}, Combust. Theory Model. 9, No. 2, 353--363 (2005; Zbl 1076.80503) Full Text: DOI
Keen, Benjamin; Karni, Smadar A second order kinetic scheme for gas dynamics on arbitrary grids. (English) Zbl 1087.76088 J. Comput. Phys. 205, No. 1, 108-130 (2005). MSC: 76M28 65M06 76N15 PDFBibTeX XMLCite \textit{B. Keen} and \textit{S. Karni}, J. Comput. Phys. 205, No. 1, 108--130 (2005; Zbl 1087.76088) Full Text: DOI
Crouseilles, Nicolas; Degond, Pierre; Lemou, Mohammed A hybrid kinetic–fluid model for solving the Vlasov–BGK equation. (English) Zbl 1143.82320 J. Comput. Phys. 203, No. 2, 572-601 (2005). MSC: 82C40 65M99 82D10 76X05 76M25 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., J. Comput. Phys. 203, No. 2, 572--601 (2005; Zbl 1143.82320) Full Text: DOI
Bennett, A. F.; Taylor, J. R.; Chua, B. S. Lattice Boltzmann open boundaries for hydrodynamic models. (English) Zbl 1061.76066 J. Comput. Phys. 203, No. 1, 89-111 (2005). MSC: 76M28 76P05 76A02 PDFBibTeX XMLCite \textit{A. F. Bennett} et al., J. Comput. Phys. 203, No. 1, 89--111 (2005; Zbl 1061.76066) Full Text: DOI
Kepler, S. O. White dwarfs as laboratories. (English) Zbl 1057.85002 Int. J. Mod. Phys. D 13, No. 7, 1493-1508 (2004). MSC: 85A15 83C55 PDFBibTeX XMLCite \textit{S. O. Kepler}, Int. J. Mod. Phys. D 13, No. 7, 1493--1508 (2004; Zbl 1057.85002) Full Text: DOI
Zakharchenko, P. A.; Radkevich, E. V. The central manifold and problems of the Chapman-Enskog projection for the Boltzmann-Peierls equation. (Russian) Zbl 1137.82328 Dokl. Phys. 49, No. 8, 451-455 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 397, No. 6, 762-766 (2004). Reviewer: Andrei Zemskov (Moskva) MSC: 82C40 35B35 35K57 76D05 PDFBibTeX XMLCite \textit{P. A. Zakharchenko} and \textit{E. V. Radkevich}, Dokl. Phys. 49, No. 1, 762--766 (2004; Zbl 1137.82328); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 397, No. 6, 762--766 (2004) Full Text: DOI
Crouseilles, N.; Degond, P.; Lemou, M. A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation. (English) Zbl 1059.76058 J. Comput. Phys. 199, No. 2, 776-808 (2004). MSC: 76M28 76P05 76N15 65M99 82C40 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., J. Comput. Phys. 199, No. 2, 776--808 (2004; Zbl 1059.76058) Full Text: DOI
Magin, Thierry E.; Degrez, Gérard Transport algorithms for partially ionized and unmagnetized plasmas. (English) Zbl 1116.76476 J. Comput. Phys. 198, No. 2, 424-449 (2004). MSC: 76X05 76M99 65F05 65F10 76D05 PDFBibTeX XMLCite \textit{T. E. Magin} and \textit{G. Degrez}, J. Comput. Phys. 198, No. 2, 424--449 (2004; Zbl 1116.76476) Full Text: DOI
Myong, R. S. A generalized hydrodynamic computational model for rarefied and microscale diatomic gas flows. (English) Zbl 1115.76405 J. Comput. Phys. 195, No. 2, 655-676 (2004). MSC: 76N15 76M12 76K05 PDFBibTeX XMLCite \textit{R. S. Myong}, J. Comput. Phys. 195, No. 2, 655--676 (2004; Zbl 1115.76405) Full Text: DOI
Sun, Quanhua; Boyd, Iain D.; Candler, Graham V. A hybrid continuum/particle approach for modeling subsonic, rarefied gas flows. (English) Zbl 1136.76420 J. Comput. Phys. 194, No. 1, 256-277 (2004). MSC: 76M28 76P05 PDFBibTeX XMLCite \textit{Q. Sun} et al., J. Comput. Phys. 194, No. 1, 256--277 (2004; Zbl 1136.76420) Full Text: DOI
Trujillo, Leonardo; Herrmann, Hans J. Hydrodynamic model for particle size segregation in granular media. (English) Zbl 1256.76075 Physica A 330, No. 3-4, 519-542 (2003). MSC: 76T25 PDFBibTeX XMLCite \textit{L. Trujillo} and \textit{H. J. Herrmann}, Physica A 330, No. 3--4, 519--542 (2003; Zbl 1256.76075) Full Text: DOI arXiv
Karlin, Iliya V.; Tatarinova, Larisa L.; Gorban, Alexander N.; Öttinger, Hans Christian Irreversibility in the short memory approximation. (English) Zbl 1031.82020 Physica A 327, No. 3-4, 399-424 (2003). MSC: 82B35 82B40 76A02 PDFBibTeX XMLCite \textit{I. V. Karlin} et al., Physica A 327, No. 3--4, 399--424 (2003; Zbl 1031.82020) Full Text: DOI arXiv
Giovangigli, Vincent; Graille, Benjamin Kinetic theory of partially ionized reactive gas mixtures. (English) Zbl 1031.82051 Physica A 327, No. 3-4, 313-348 (2003). MSC: 82D10 82C40 82C70 80A30 PDFBibTeX XMLCite \textit{V. Giovangigli} and \textit{B. Graille}, Physica A 327, No. 3--4, 313--348 (2003; Zbl 1031.82051) Full Text: DOI
Sabbane, Mohamed; Tij, Mohamed; Santos, Andrés Maxwellian gas undergoing a stationary Poiseuille flow in a pipe. (English) Zbl 1031.82043 Physica A 327, No. 3-4, 264-290 (2003). MSC: 82C40 76N15 PDFBibTeX XMLCite \textit{M. Sabbane} et al., Physica A 327, No. 3--4, 264--290 (2003; Zbl 1031.82043) Full Text: DOI arXiv
Aoki, Kazuo; Takata, Shigeru; Taguchi, Satoshi Vapor flows with evaporation and condensation in the continuum limit: Effect of a trace of noncondensable gas. (English) Zbl 1175.76142 Eur. J. Mech., B, Fluids 22, No. 1, 51-71 (2003). MSC: 76T10 76P05 82B40 PDFBibTeX XMLCite \textit{K. Aoki} et al., Eur. J. Mech., B, Fluids 22, No. 1, 51--71 (2003; Zbl 1175.76142) Full Text: DOI
Lockerby, Duncan A.; Reese, Jason M. High-resolution Burnett simulations of micro-Couette flow and heat transfer. (English) Zbl 1041.76064 J. Comput. Phys. 188, No. 2, 333-347 (2003). MSC: 76P05 80A20 PDFBibTeX XMLCite \textit{D. A. Lockerby} and \textit{J. M. Reese}, J. Comput. Phys. 188, No. 2, 333--347 (2003; Zbl 1041.76064) Full Text: DOI
Gaspard, P.; Nicolis, G.; Dorfman, J. R. Diffusive Lorentz gases and multibaker maps are compatible with irreversible thermodynamics. (English) Zbl 1029.82039 Physica A 323, No. 1-4, 294-322 (2003). MSC: 82C70 82C35 37N20 PDFBibTeX XMLCite \textit{P. Gaspard} et al., Physica A 323, No. 1--4, 294--322 (2003; Zbl 1029.82039) Full Text: DOI arXiv
Macrossan, M. N. \(\mu\)-DSMC: a general viscosity method for rarefied flow. (English) Zbl 1047.76579 J. Comput. Phys. 185, No. 2, 612-627 (2003). MSC: 76M35 76P05 82-08 PDFBibTeX XMLCite \textit{M. N. Macrossan}, J. Comput. Phys. 185, No. 2, 612--627 (2003; Zbl 1047.76579) Full Text: DOI
Santos, Andrés Transport coefficients of \(d\)-dimensional inelastic Maxwell models. (English) Zbl 1011.82020 Physica A 321, No. 3-4, 442-466 (2003). MSC: 82C70 PDFBibTeX XMLCite \textit{A. Santos}, Physica A 321, No. 3--4, 442--466 (2003; Zbl 1011.82020) Full Text: DOI arXiv
Morgado, Welles A. M. A qualitative Langevin-like model for the coexistence of two distinct granular temperatures. (English) Zbl 1010.82504 Physica A 320, No. 1-4, 60-66 (2003). MSC: 82B31 PDFBibTeX XMLCite \textit{W. A. M. Morgado}, Physica A 320, No. 1--4, 60--66 (2003; Zbl 1010.82504) Full Text: DOI arXiv
Požarnik, M.; Škerget, L. Simulation of gas-solid particle flows by boundary domain integral method. (English) Zbl 1130.76381 Eng. Anal. Bound. Elem. 26, No. 10, 939-949 (2002). MSC: 76M15 76T15 PDFBibTeX XMLCite \textit{M. Požarnik} and \textit{L. Škerget}, Eng. Anal. Bound. Elem. 26, No. 10, 939--949 (2002; Zbl 1130.76381) Full Text: DOI
Hatta, Y.; Kunihiro, T. Renormalization group method applied to kinetic equations: Roles of initial values and time. (English) Zbl 0995.81073 Ann. Phys. 298, No. 1, 24-57 (2002). MSC: 81T17 82C05 82B28 82C10 82C43 PDFBibTeX XMLCite \textit{Y. Hatta} and \textit{T. Kunihiro}, Ann. Phys. 298, No. 1, 24--57 (2002; Zbl 0995.81073) Full Text: DOI arXiv
He, Xiaoyi; Doolen, Gary D.; Clark, T. Comparison of the lattice Boltzmann method and the artificial compressibility method for Navier-Stokes equations. (English) Zbl 1130.76397 J. Comput. Phys. 179, No. 2, 439-451 (2002). MSC: 76M25 76M28 76M30 76D05 PDFBibTeX XMLCite \textit{X. He} et al., J. Comput. Phys. 179, No. 2, 439--451 (2002; Zbl 1130.76397) Full Text: DOI
Sun, Quanhua; Boyd, Iain D. A direct simulation method for subsonic, microscale gas flows. (English) Zbl 1130.76416 J. Comput. Phys. 179, No. 2, 400-425 (2002). MSC: 76N10 76M28 PDFBibTeX XMLCite \textit{Q. Sun} and \textit{I. D. Boyd}, J. Comput. Phys. 179, No. 2, 400--425 (2002; Zbl 1130.76416) Full Text: DOI
Marín, Concepción; Garzó, Vicente Exact solution of the Gross-Krook kinetic model for a multicomponent gas in steady Couette flow. (English) Zbl 0997.82035 Physica A 312, No. 3-4, 315-341 (2002). MSC: 82C70 76P05 80A32 PDFBibTeX XMLCite \textit{C. Marín} and \textit{V. Garzó}, Physica A 312, No. 3--4, 315--341 (2002; Zbl 0997.82035) Full Text: DOI
Casas-Vázquez, J.; Criado-Sancho, M.; Jou, D. Comparison of three thermodynamic descriptions of nonlocal effects in viscoelasticity. (English) Zbl 0996.74023 Physica A 311, No. 3-4, 353-360 (2002). MSC: 74D10 74A15 PDFBibTeX XMLCite \textit{J. Casas-Vázquez} et al., Physica A 311, No. 3--4, 353--360 (2002; Zbl 0996.74023) Full Text: DOI
Platkowski, Tadeusz Spatial self-organization in three-component mixtures. (English) Zbl 0996.82061 Physica A 311, No. 1-2, 291-305 (2002). MSC: 82D30 91A90 82C32 68Q80 PDFBibTeX XMLCite \textit{T. Platkowski}, Physica A 311, No. 1--2, 291--305 (2002; Zbl 0996.82061) Full Text: DOI
Wei, G. W. Shock capturing by anisotropic diffusion oscillation reduction. (English) Zbl 1138.76411 Comput. Phys. Commun. 144, No. 3, 317-342 (2002). MSC: 76M25 76M20 65M06 76L05 82C80 76D05 PDFBibTeX XMLCite \textit{G. W. Wei}, Comput. Phys. Commun. 144, No. 3, 317--342 (2002; Zbl 1138.76411) Full Text: DOI arXiv
Saito, T. Numerical analysis of dusty-gas flows. (English) Zbl 1120.76350 J. Comput. Phys. 176, No. 1, 129-144 (2002). MSC: 76M25 65Y05 76T15 76L05 PDFBibTeX XMLCite \textit{T. Saito}, J. Comput. Phys. 176, No. 1, 129--144 (2002; Zbl 1120.76350) Full Text: DOI
Morawetz, Klaus; Lipavský, Pavel; Špička, Václav Retarded versus time-nonlocal quantum Kinetic equations. (English) Zbl 0993.82033 Ann. Phys. 294, No. 2, 135-164 (2002). MSC: 82C10 82C40 PDFBibTeX XMLCite \textit{K. Morawetz} et al., Ann. Phys. 294, No. 2, 135--164 (2002; Zbl 0993.82033) Full Text: DOI arXiv
Crouseilles, Nicolas Derivation of a kinetic/drift-diffusion model describing fast and slow particles. (Dérivation de modèles couplés dérive-diffusion/cinétique par une méthode de décomposition en vitesse.) (French. Abridged English version) Zbl 1154.82319 C. R., Math., Acad. Sci. Paris 334, No. 9, 827-832 (2002). MSC: 82D10 76X05 PDFBibTeX XMLCite \textit{N. Crouseilles}, C. R., Math., Acad. Sci. Paris 334, No. 9, 827--832 (2002; Zbl 1154.82319) 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 PDFBibTeX XMLCite \textit{L. L. Samojeden} and \textit{G. M. Kremer}, Physica A 307, No. 3--4, 354--374 (2002; Zbl 0994.82034) Full Text: DOI
Hirata, S. C.; Silveira, D. M.; Morgado, W. A. M.; Cruz, M. E.; Cesar, C. L. Reduced dynamics simulation of trapped classical atoms statistics using an interactive lattice automaton model. (English) Zbl 0994.82082 Physica A 307, No. 1-2, 107-120 (2002). MSC: 82C80 37B15 PDFBibTeX XMLCite \textit{S. C. Hirata} et al., Physica A 307, No. 1--2, 107--120 (2002; Zbl 0994.82082) Full Text: DOI
Singh, G. S.; Kumar, B. Molecular fluids and liquid crystals in convex-body coordinate systems. (English) Zbl 0991.82035 Ann. Phys. 294, No. 1, 24-47 (2001). MSC: 82D30 82B26 PDFBibTeX XMLCite \textit{G. S. Singh} and \textit{B. Kumar}, Ann. Phys. 294, No. 1, 24--47 (2001; Zbl 0991.82035) Full Text: DOI
Macrossan, M. N. \(\nu\)-DSMC: a fast simulation method for rarefied flow. (English) Zbl 1051.76596 J. Comput. Phys. 173, No. 2, 600-619 (2001). MSC: 76M25 76M35 76P05 81V55 PDFBibTeX XMLCite \textit{M. N. Macrossan}, J. Comput. Phys. 173, No. 2, 600--619 (2001; Zbl 1051.76596) Full Text: DOI
Xu, Kun Comment on “Development of an improved gas-kinetic BGK scheme for inviscid and viscous flows”. (English) Zbl 1065.76570 J. Comput. Phys. 171, No. 2, 843-847 (2001). MSC: 76M20 76P05 PDFBibTeX XMLCite \textit{K. Xu}, J. Comput. Phys. 171, No. 2, 843--847 (2001; Zbl 1065.76570) Full Text: DOI
Tang, Huazhong Gas-kinetic schemes for compressible flow of real gases. (English) Zbl 0987.76069 Comput. Math. Appl. 41, No. 5-6, 723-734 (2001). MSC: 76M20 76P05 76N15 PDFBibTeX XMLCite \textit{H. Tang}, Comput. Math. Appl. 41, No. 5--6, 723--734 (2001; Zbl 0987.76069) Full Text: DOI
Rangel-Huerta, A.; Velasco, R. M. Generalized hydrodynamics in Enskog gases. (English) Zbl 1011.76072 Physica A 300, No. 1-2, 174-194 (2001). MSC: 76P05 76A02 82B40 PDFBibTeX XMLCite \textit{A. Rangel-Huerta} and \textit{R. M. Velasco}, Physica A 300, No. 1--2, 174--194 (2001; Zbl 1011.76072) Full Text: DOI
Majorana, A.; Milazzo, C. Space homogeneous solutions of the linear semiconductor Boltzmann equation. (English) Zbl 0986.35112 J. Math. Anal. Appl. 259, No. 2, 609-629 (2001). MSC: 35Q60 82D37 78A35 PDFBibTeX XMLCite \textit{A. Majorana} and \textit{C. Milazzo}, J. Math. Anal. Appl. 259, No. 2, 609--629 (2001; Zbl 0986.35112) Full Text: DOI
Sofonea, V.; Sekerka, R. F. BGK models for diffusion in isothermal binary fluid systems. (English) Zbl 0972.82079 Physica A 299, No. 3-4, 494-520 (2001). MSC: 82C70 PDFBibTeX XMLCite \textit{V. Sofonea} and \textit{R. F. Sekerka}, Physica A 299, No. 3--4, 494--520 (2001; Zbl 0972.82079) Full Text: DOI
Minier, J.-P.; Peirano, E. The pdf approach to turbulent polydispersed two-phase flows. (English) Zbl 0971.76039 Phys. Rep. 352, No. 1-3, 1-214 (2001). MSC: 76F55 76T15 76T10 PDFBibTeX XMLCite \textit{J. P. Minier} and \textit{E. Peirano}, Phys. Rep. 352, No. 1--3, 1--214 (2001; Zbl 0971.76039) Full Text: DOI
Lachowicz, M. Is the linearized Boltzmann-Enskog operator dissipative? (English) Zbl 0986.47028 Appl. Math. Lett. 14, No. 3, 291-295 (2001). Reviewer: Josef Wloka (Kiel) MSC: 47B44 47F05 47N55 82C40 47H06 PDFBibTeX XMLCite \textit{M. Lachowicz}, Appl. Math. Lett. 14, No. 3, 291--295 (2001; Zbl 0986.47028) Full Text: DOI
Fan, Jing; Shen, Ching Statistical simulation of low-speed rarefied gas flows. (English) Zbl 1052.76055 J. Comput. Phys. 167, No. 2, 393-412 (2001). MSC: 76M35 76P05 PDFBibTeX XMLCite \textit{J. Fan} and \textit{C. Shen}, J. Comput. Phys. 167, No. 2, 393--412 (2001; Zbl 1052.76055) Full Text: DOI Link
Myong, R. S. A computational method for Eu’s generalized hydrodynamic equations of rarefied and microscale gasdynamics. (English) Zbl 1074.76573 J. Comput. Phys. 168, No. 1, 47-72 (2001). MSC: 76M12 76N15 76P05 PDFBibTeX XMLCite \textit{R. S. Myong}, J. Comput. Phys. 168, No. 1, 47--72 (2001; Zbl 1074.76573) Full Text: DOI