Takizawa, Kenji; Otoguro, Yuto; Tezduyar, Tayfun E. Variational multiscale method stabilization parameter calculated from the strain-rate tensor. (English) Zbl 07722119 Math. Models Methods Appl. Sci. 33, No. 8, 1661-1691 (2023). MSC: 76M10 76R99 76M30 74F10 PDFBibTeX XMLCite \textit{K. Takizawa} et al., Math. Models Methods Appl. Sci. 33, No. 8, 1661--1691 (2023; Zbl 07722119) Full Text: DOI
Liang, Zhilei; Wang, Dehua Stationary Cahn-Hilliard-Navier-Stokes equations for the diffuse interface model of compressible flows. (English) Zbl 1464.35235 Math. Models Methods Appl. Sci. 30, No. 12, 2445-2486 (2020). MSC: 35Q35 76N10 35Q30 76T10 76R50 35D30 35A01 35R35 PDFBibTeX XMLCite \textit{Z. Liang} and \textit{D. Wang}, Math. Models Methods Appl. Sci. 30, No. 12, 2445--2486 (2020; Zbl 1464.35235) Full Text: DOI arXiv
Boudin, Laurent; Michel, David; Moussa, Ayman Global existence of weak solutions to the incompressible Vlasov-Navier-Stokes system coupled to convection-diffusion equations. (English) Zbl 1450.35211 Math. Models Methods Appl. Sci. 30, No. 8, 1485-1515 (2020). MSC: 35Q35 35Q83 35D30 76D05 76R50 76T10 76T30 35A01 PDFBibTeX XMLCite \textit{L. Boudin} et al., Math. Models Methods Appl. Sci. 30, No. 8, 1485--1515 (2020; Zbl 1450.35211) Full Text: DOI
Talischi, Cameron; Paulino, Glaucio H. Addressing integration error for polygonal finite elements through polynomial projections: a patch test connection. (English) Zbl 1291.65349 Math. Models Methods Appl. Sci. 24, No. 8, 1701-1727 (2014). MSC: 65N30 65N12 76R99 PDFBibTeX XMLCite \textit{C. Talischi} and \textit{G. H. Paulino}, Math. Models Methods Appl. Sci. 24, No. 8, 1701--1727 (2014; Zbl 1291.65349) Full Text: DOI arXiv
Bouyssier, Julien; Pierre, Charles; Plouraboue, Franck Mathematical analysis of parallel convective exchangers with general lateral boundary conditions using generalized Graetz modes. (English) Zbl 1469.76121 Math. Models Methods Appl. Sci. 24, No. 4, 627-665 (2014). MSC: 76R99 76M30 80A19 PDFBibTeX XMLCite \textit{J. Bouyssier} et al., Math. Models Methods Appl. Sci. 24, No. 4, 627--665 (2014; Zbl 1469.76121) Full Text: DOI
Průša, Vít; Rajagopal, K. R. On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck-Boussinesq type approximations. (English) Zbl 1452.76015 Math. Models Methods Appl. Sci. 23, No. 10, 1761-1794 (2013). MSC: 76A10 76R10 PDFBibTeX XMLCite \textit{V. Průša} and \textit{K. R. Rajagopal}, Math. Models Methods Appl. Sci. 23, No. 10, 1761--1794 (2013; Zbl 1452.76015) Full Text: DOI
Löwe, Johannes; Lube, Gert A projection-based variational multiscale method for large-eddy simulation with application to non-isothermal free convection problems. (English) Zbl 1426.76287 Math. Models Methods Appl. Sci. 22, No. 2, 1150011, 31 p. (2012). MSC: 76M10 76D05 76R10 76M30 76F65 65M12 65M15 PDFBibTeX XMLCite \textit{J. Löwe} and \textit{G. Lube}, Math. Models Methods Appl. Sci. 22, No. 2, 1150011, 31 p. (2012; Zbl 1426.76287) Full Text: DOI
Knezevic, David J.; Nguyen, Ngoc-Cuong; Patera, Anthony T. Reduced basis approximation and a posteriori error estimation for the parametrized unsteady Boussinesq equations. (English) Zbl 1279.76023 Math. Models Methods Appl. Sci. 21, No. 7, 1415-1442 (2011). Reviewer: Srinivasan Natesan (Assam) MSC: 76M25 76R10 65M15 PDFBibTeX XMLCite \textit{D. J. Knezevic} et al., Math. Models Methods Appl. Sci. 21, No. 7, 1415--1442 (2011; Zbl 1279.76023) Full Text: DOI
Degond, Pierre; Yang, Tong Diffusion in a continuum model of self-propelled particles with alignment interaction. (English) Zbl 1420.76006 Math. Models Methods Appl. Sci. 20, Suppl., 1459-1490 (2010). MSC: 76R50 76Z10 76M45 PDFBibTeX XMLCite \textit{P. Degond} and \textit{T. Yang}, Math. Models Methods Appl. Sci. 20, 1459--1490 (2010; Zbl 1420.76006) Full Text: DOI arXiv
Farina, Angiolo; Fasano, Antonio; Mikelić, Andro On the equations governing the flow of mechanically incompressible, but thermally expansible, viscous fluids. (English) Zbl 1200.35213 Math. Models Methods Appl. Sci. 18, No. 6, 813-857 (2008). Reviewer: Mariano Rodriguez Ricard (La Habana) MSC: 35Q30 76N10 76R05 PDFBibTeX XMLCite \textit{A. Farina} et al., Math. Models Methods Appl. Sci. 18, No. 6, 813--857 (2008; Zbl 1200.35213) Full Text: DOI
Vauchelet, Nicolas Diffusive transport of partially quantized particles: \(L \log L\) solutions. (English) Zbl 1159.35405 Math. Models Methods Appl. Sci. 18, No. 4, 489-510 (2008). MSC: 35Q40 35Q35 76R99 35B45 35B40 49K20 49S05 PDFBibTeX XMLCite \textit{N. Vauchelet}, Math. Models Methods Appl. Sci. 18, No. 4, 489--510 (2008; Zbl 1159.35405) Full Text: DOI
Bertolazzi, Enrico; Manzini, Gianmarco On vertex reconstructions for cell-centered finite volume approximations of 2D anisotropic diffusion problems. (English) Zbl 1119.65115 Math. Models Methods Appl. Sci. 17, No. 1, 1-32 (2007). MSC: 65N30 35J25 65N50 76M12 76R50 PDFBibTeX XMLCite \textit{E. Bertolazzi} and \textit{G. Manzini}, Math. Models Methods Appl. Sci. 17, No. 1, 1--32 (2007; Zbl 1119.65115) Full Text: DOI
Golse, Francois; Maire, Pierre-Henri; Sentis, Remi On the ambipolar diffusion and other asymptotic limits of weakly ionized plasma flows. (English) Zbl 1116.76089 Math. Models Methods Appl. Sci. 16, No. 10, 1653-1676 (2006). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 76X05 76R50 76M45 PDFBibTeX XMLCite \textit{F. Golse} et al., Math. Models Methods Appl. Sci. 16, No. 10, 1653--1676 (2006; Zbl 1116.76089) Full Text: DOI
Alvarez-Vazquez, L. J.; Marta, M.; Martinez, A. Sterilization of canned viscous foods: an optimal control approach. (English) Zbl 1069.49028 Math. Models Methods Appl. Sci. 14, No. 3, 355-374 (2004). MSC: 49N90 49K20 76D03 49J20 76D55 76R10 PDFBibTeX XMLCite \textit{L. J. Alvarez-Vazquez} et al., Math. Models Methods Appl. Sci. 14, No. 3, 355--374 (2004; Zbl 1069.49028) Full Text: DOI
Lorin, E.; Seignole, V. Convection systems with stiff source terms. (English) Zbl 1050.76037 Math. Models Methods Appl. Sci. 13, No. 7, 971-1018 (2003). MSC: 76M12 76R10 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{V. Seignole}, Math. Models Methods Appl. Sci. 13, No. 7, 971--1018 (2003; Zbl 1050.76037) Full Text: DOI
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G. Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. (English) Zbl 1098.65104 Math. Models Methods Appl. Sci. 13, No. 3, 445-461 (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N12 76M10 76V05 76R05 65N30 35J25 PDFBibTeX XMLCite \textit{F. Brezzi} et al., Math. Models Methods Appl. Sci. 13, No. 3, 445--461 (2003; Zbl 1098.65104) Full Text: DOI
Rubinstein, I.; Zaltzman, B. Electro-osmotic slip of the second kind and instability in concentration polarization at electrodialysis membranes. (English) Zbl 1010.78009 Math. Models Methods Appl. Sci. 11, No. 2, 263-300 (2001). MSC: 78A55 76R99 76V05 PDFBibTeX XMLCite \textit{I. Rubinstein} and \textit{B. Zaltzman}, Math. Models Methods Appl. Sci. 11, No. 2, 263--300 (2001; Zbl 1010.78009) Full Text: DOI
Monnier, J. Free convection with radiative thermal transfer of grey bodies. Analysis and approximation by finite element methods. (English) Zbl 1205.76247 Math. Models Methods Appl. Sci. 10, No. 9, 1383-1424 (2000). MSC: 76R10 35Q35 76D05 76M10 PDFBibTeX XMLCite \textit{J. Monnier}, Math. Models Methods Appl. Sci. 10, No. 9, 1383--1424 (2000; Zbl 1205.76247) Full Text: DOI
Monnier, J. Free convection with radiative thermal transfer of grey bodies. Analysis and approximation by finite element methods. (English) Zbl 0970.76095 Math. Models Methods Appl. Sci. 10, No. 9, 1383-1424 (2000). MSC: 76R10 76M10 35Q35 80A20 78A40 PDFBibTeX XMLCite \textit{J. Monnier}, Math. Models Methods Appl. Sci. 10, No. 9, 1383--1424 (2000; Zbl 0970.76095) Full Text: DOI
Logan, J. David; Ledder, Glenn; Homp, Michelle Reeb A singular perturbation problem in fractured media with parallel diffusion. (English) Zbl 0960.76088 Math. Models Methods Appl. Sci. 8, No. 4, 645-655 (1998). MSC: 76S05 76R50 86A05 76M45 PDFBibTeX XMLCite \textit{J. D. Logan} et al., Math. Models Methods Appl. Sci. 8, No. 4, 645--655 (1998; Zbl 0960.76088) Full Text: DOI
Bedjaoui, Nabil Traveling waves solutions of a convective-dispersive system modeling two-phase fluid flows. (English) Zbl 0906.76091 Math. Models Methods Appl. Sci. 7, No. 7, 887-908 (1997). MSC: 76T99 76R99 35Q51 PDFBibTeX XMLCite \textit{N. Bedjaoui}, Math. Models Methods Appl. Sci. 7, No. 7, 887--908 (1997; Zbl 0906.76091) Full Text: DOI
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R. On the Oberbeck-Boussinesq approximation. (English) Zbl 0883.76078 Math. Models Methods Appl. Sci. 6, No. 8, 1157-1167 (1996). Reviewer: F.Rosso (Firenze) MSC: 76R50 35Q35 80A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal} et al., Math. Models Methods Appl. Sci. 6, No. 8, 1157--1167 (1996; Zbl 0883.76078) Full Text: DOI
Charki, Z. The initial value problem for the deep Bénard convection equations with data in \(L_ q\). (English) Zbl 0863.35080 Math. Models Methods Appl. Sci. 6, No. 2, 269-277 (1996). Reviewer: F.Rosso (Firenze) MSC: 35Q35 76R05 35A05 PDFBibTeX XMLCite \textit{Z. Charki}, Math. Models Methods Appl. Sci. 6, No. 2, 269--277 (1996; Zbl 0863.35080) Full Text: DOI
Lenhart, Suzanne Optimal control of a convective-diffusive fluid problem. (English) Zbl 0828.76066 Math. Models Methods Appl. Sci. 5, No. 2, 225-237 (1995). MSC: 76M30 76R99 49J20 PDFBibTeX XMLCite \textit{S. Lenhart}, Math. Models Methods Appl. Sci. 5, No. 2, 225--237 (1995; Zbl 0828.76066) Full Text: DOI
Ames, K. A.; Payne, L. E. On stabilizing against modeling errors in a penetrative convection problem for a porous medium. (English) Zbl 0819.76077 Math. Models Methods Appl. Sci. 4, No. 5, 733-740 (1994). MSC: 76R10 76S05 35Q35 35R25 35B30 PDFBibTeX XMLCite \textit{K. A. Ames} and \textit{L. E. Payne}, Math. Models Methods Appl. Sci. 4, No. 5, 733--740 (1994; Zbl 0819.76077) Full Text: DOI
Canuto, C.; Russo, A. On the elliptic-hyperbolic coupling. I: The advection-diffusion equation via the \(\chi\)-formulation. (English) Zbl 0773.76066 Math. Models Methods Appl. Sci. 3, No. 2, 145-170 (1993). MSC: 76R99 35Q35 PDFBibTeX XMLCite \textit{C. Canuto} and \textit{A. Russo}, Math. Models Methods Appl. Sci. 3, No. 2, 145--170 (1993; Zbl 0773.76066) Full Text: DOI
Logan, J. David; Shores, Thomas S. On a system of nonlinear hyperbolic conservation laws with sources. (English) Zbl 0805.35075 Math. Models Methods Appl. Sci. 3, No. 3, 341-358 (1993). MSC: 35L65 76R99 92E20 PDFBibTeX XMLCite \textit{J. D. Logan} and \textit{T. S. Shores}, Math. Models Methods Appl. Sci. 3, No. 3, 341--358 (1993; Zbl 0805.35075) Full Text: DOI
Lindsay, K. A. The application of compound matrices to convection problems in multi- layered continua. (English) Zbl 0786.76084 Math. Models Methods Appl. Sci. 2, No. 2, 121-141 (1992). MSC: 76R99 PDFBibTeX XMLCite \textit{K. A. Lindsay}, Math. Models Methods Appl. Sci. 2, No. 2, 121--141 (1992; Zbl 0786.76084) Full Text: DOI
Canuto, C.; Russo, A. A viscous-inviscid coupling under mixed boundary conditions. (English) Zbl 0769.76067 Math. Models Methods Appl. Sci. 2, No. 4, 461-482 (1992). MSC: 76R99 35Q35 PDFBibTeX XMLCite \textit{C. Canuto} and \textit{A. Russo}, Math. Models Methods Appl. Sci. 2, No. 4, 461--482 (1992; Zbl 0769.76067) Full Text: DOI
Tao, L.; Rajagopal, K. R.; Wineman, A. S. Unsteady diffusion of fluids through solids undergoing large deformations. (English) Zbl 0738.76069 Math. Models Methods Appl. Sci. 1, No. 3, 311-346 (1991). MSC: 76R50 76S05 35Q35 74B20 PDFBibTeX XMLCite \textit{L. Tao} et al., Math. Models Methods Appl. Sci. 1, No. 3, 311--346 (1991; Zbl 0738.76069) Full Text: DOI