Bulíček, Miroslav; Málek, Josef; Maringová, Erika On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary. (English) Zbl 1525.35198 J. Math. Fluid Mech. 25, No. 3, Paper No. 72, 29 p. (2023). Reviewer: Yongqian Zhang (Shanghai) MSC: 35Q35 35Q30 76D03 76D05 76A05 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{M. Bulíček} et al., J. Math. Fluid Mech. 25, No. 3, Paper No. 72, 29 p. (2023; Zbl 1525.35198) Full Text: DOI arXiv
Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. (English) Zbl 1490.65271 Math. Comput. 91, No. 334, 659-697 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N55 65F08 65F10 35D30 80A19 76A05 PDFBibTeX XMLCite \textit{P. Farrell} et al., Math. Comput. 91, No. 334, 659--697 (2022; Zbl 1490.65271) Full Text: DOI arXiv
Gazca-Orozco, Pablo Alexei A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow. (English) Zbl 1483.65182 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2679-2703 (2021). MSC: 65N30 65N22 76A05 PDFBibTeX XMLCite \textit{P. A. Gazca-Orozco}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2679--2703 (2021; Zbl 1483.65182) Full Text: DOI arXiv
Abbatiello, Anna; Bulíček, Miroslav; Maringová, Erika On the dynamic slip boundary condition for Navier-Stokes-like problems. (English) Zbl 1478.35172 Math. Models Methods Appl. Sci. 31, No. 11, 2165-2212 (2021). MSC: 35Q35 76A05 76D03 PDFBibTeX XMLCite \textit{A. Abbatiello} et al., Math. Models Methods Appl. Sci. 31, No. 11, 2165--2212 (2021; Zbl 1478.35172) Full Text: DOI arXiv
Farrell, P. E.; Gazca-Orozco, P. A. An augmented Lagrangian preconditioner for implicitly constituted non-Newtonian incompressible flow. (English) Zbl 1458.65147 SIAM J. Sci. Comput. 42, No. 6, B1329-B1349 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65N22 65F08 35Q35 76A05 PDFBibTeX XMLCite \textit{P. E. Farrell} and \textit{P. A. Gazca-Orozco}, SIAM J. Sci. Comput. 42, No. 6, B1329--B1349 (2020; Zbl 1458.65147) Full Text: DOI arXiv
Blechta, Jan; Málek, Josef; Rajagopal, K. R. On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. (English) Zbl 1432.76075 SIAM J. Math. Anal. 52, No. 2, 1232-1289 (2020). MSC: 76D03 35Q35 76A02 76A05 PDFBibTeX XMLCite \textit{J. Blechta} et al., SIAM J. Math. Anal. 52, No. 2, 1232--1289 (2020; Zbl 1432.76075) Full Text: DOI arXiv
Farrell, Patrick E.; Gazca-Orozco, P. A.; Süli, Endre Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation. (English) Zbl 1434.76065 SIAM J. Numer. Anal. 58, No. 1, 757-787 (2020). MSC: 76M10 65M60 65M12 35Q35 76A05 PDFBibTeX XMLCite \textit{P. E. Farrell} et al., SIAM J. Numer. Anal. 58, No. 1, 757--787 (2020; Zbl 1434.76065) Full Text: DOI arXiv
Abbatiello, Anna; Los, Tomáš; Málek, Josef; Souček, Ondřej Three-dimensional flows of pore pressure-activated Bingham fluids. (English) Zbl 1425.76015 Math. Models Methods Appl. Sci. 29, No. 11, 2089-2125 (2019). MSC: 76A05 35Q30 76S05 76D05 PDFBibTeX XMLCite \textit{A. Abbatiello} et al., Math. Models Methods Appl. Sci. 29, No. 11, 2089--2125 (2019; Zbl 1425.76015) Full Text: DOI arXiv
Rajagopal, K. R.; Srinivasa, A. R. Some remarks and clarifications concerning the restrictions placed on thermodynamic processes. (English) Zbl 1423.80009 Int. J. Eng. Sci. 140, 26-34 (2019). MSC: 80A10 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. R. Srinivasa}, Int. J. Eng. Sci. 140, 26--34 (2019; Zbl 1423.80009) Full Text: DOI
Koba, Hajime; Sato, Kazuki Energetic variational approaches for non-Newtonian fluid systems. (English) Zbl 1402.49044 Z. Angew. Math. Phys. 69, No. 6, Paper No. 143, 28 p. (2018). MSC: 49S05 49Q20 76A05 PDFBibTeX XMLCite \textit{H. Koba} and \textit{K. Sato}, Z. Angew. Math. Phys. 69, No. 6, Paper No. 143, 28 p. (2018; Zbl 1402.49044) Full Text: DOI arXiv
Fusi, Lorenzo; Farina, Angiolo Flow of a class of fluids defined via implicit constitutive equation down an inclined plane: analysis of the quasi-steady regime. (English) Zbl 1408.76013 Eur. J. Mech., B, Fluids 61, Part 1, 200-208 (2017). MSC: 76A05 76A10 76A20 PDFBibTeX XMLCite \textit{L. Fusi} and \textit{A. Farina}, Eur. J. Mech., B, Fluids 61, Part 1, 200--208 (2017; Zbl 1408.76013) Full Text: DOI
Bulíček, Miroslav; Málek, Josef Internal flows of incompressible fluids subject to stick-slip boundary conditions. (English) Zbl 1365.35117 Vietnam J. Math. 45, No. 1-2, 207-220 (2017). MSC: 35Q35 76A05 76D03 35D30 35Q30 PDFBibTeX XMLCite \textit{M. Bulíček} and \textit{J. Málek}, Vietnam J. Math. 45, No. 1--2, 207--220 (2017; Zbl 1365.35117) Full Text: DOI
Shankar, L. S.; Rajthilak, S.; Saravanan, U. Numerical technique for solving truss and plane problems for a new class of elastic bodies. (English) Zbl 1380.74018 Acta Mech. 227, No. 11, 3147-3176 (2016). MSC: 74B20 74G15 74G70 74S30 PDFBibTeX XMLCite \textit{L. S. Shankar} et al., Acta Mech. 227, No. 11, 3147--3176 (2016; Zbl 1380.74018) Full Text: DOI
Kreuzer, Christian; Süli, Endre Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology. (English) Zbl 1457.65201 ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1333-1369 (2016). MSC: 65N30 65N12 65N15 76A05 35Q35 PDFBibTeX XMLCite \textit{C. Kreuzer} and \textit{E. Süli}, ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1333--1369 (2016; Zbl 1457.65201) Full Text: DOI arXiv
Bulíček, Miroslav; Málek, Josef On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary. (English) Zbl 1338.35352 Amann, Herbert (ed.) et al., Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata’s 60th birthday, Nara, Japan, March, 5–9, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0938-2/hbk; 978-3-0348-0939-9/ebook). Advances in Mathematical Fluid Mechanics, 135-156 (2016). MSC: 35Q35 PDFBibTeX XMLCite \textit{M. Bulíček} and \textit{J. Málek}, in: Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata's 60th birthday, Nara, Japan, March, 5--9, 2013. Basel: Birkhäuser/Springer. 135--156 (2016; Zbl 1338.35352) Full Text: DOI
Feireisl, E.; Liao, X.; Málek, J. Global weak solutions to a class of non-Newtonian compressible fluids. (English) Zbl 1335.35180 Math. Methods Appl. Sci. 38, No. 16, 3482-3494 (2015). MSC: 35Q30 76A05 35D30 76N10 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Math. Methods Appl. Sci. 38, No. 16, 3482--3494 (2015; Zbl 1335.35180) Full Text: DOI
Fusi, L.; Farina, A.; Rosso, F. Ill posedness of Bingham-type models for the downhill flow of a thin film on an inclined plane. (English) Zbl 1331.76012 Q. Appl. Math. 73, No. 4, 615-627 (2015). MSC: 76A05 74D10 76D08 PDFBibTeX XMLCite \textit{L. Fusi} et al., Q. Appl. Math. 73, No. 4, 615--627 (2015; Zbl 1331.76012) Full Text: DOI Link
Rajagopal, Kumbakonam R.; Srinivasa, Arun R. On the use of compatibility conditions for the strain in linear and non-linear theories of mechanics. (English) Zbl 1327.74006 Math. Mech. Solids 20, No. 5, 614-618 (2015). MSC: 74A05 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. R. Srinivasa}, Math. Mech. Solids 20, No. 5, 614--618 (2015; Zbl 1327.74006) Full Text: DOI
Bulíček, Miroslav; Málek, Josef; Süli, Endre Existence of global weak solutions to implicitly constituted kinetic models of incompressible homogeneous dilute polymers. (English) Zbl 1277.35118 Commun. Partial Differ. Equations 38, No. 4-6, 882-924 (2013). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35D30 35Q35 46E30 76D03 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Commun. Partial Differ. Equations 38, No. 4--6, 882--924 (2013; Zbl 1277.35118) Full Text: DOI
Rajagopal, K. R.; Srinivasa, A. R. Restrictions placed on constitutive relations by angular momentum balance and Galilean invariance. (English) Zbl 1268.74005 Z. Angew. Math. Phys. 64, No. 2, 391-401 (2013). MSC: 74A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. R. Srinivasa}, Z. Angew. Math. Phys. 64, No. 2, 391--401 (2013; Zbl 1268.74005) Full Text: DOI
Le Roux, Christiaan; Rajagopal, Kumbakonam R. Shear flows of a new class of power-law fluids. (English) Zbl 1274.76039 Appl. Math., Praha 58, No. 2, 153-177 (2013). Reviewer: Petr Kaplický (Praha) MSC: 76A05 76D03 PDFBibTeX XMLCite \textit{C. Le Roux} and \textit{K. R. Rajagopal}, Appl. Math., Praha 58, No. 2, 153--177 (2013; Zbl 1274.76039) Full Text: DOI Link
Shelukhin, V. V.; Růžička, M. On Cosserat-Bingham fluids. (English) Zbl 1372.76009 ZAMM, Z. Angew. Math. Mech. 93, No. 1, 57-72 (2013). MSC: 76A10 76D99 PDFBibTeX XMLCite \textit{V. V. Shelukhin} and \textit{M. Růžička}, ZAMM, Z. Angew. Math. Mech. 93, No. 1, 57--72 (2013; Zbl 1372.76009) Full Text: DOI
Hron, J.; Kratochvíl, Jan; Málek, J.; Rajagopal, K. R.; Tůma, K. A thermodynamically compatible rate type fluid to describe the response of asphalt. (English) Zbl 1252.76064 Math. Comput. Simul. 82, No. 10, 1853-1873 (2012). MSC: 76M25 80M25 PDFBibTeX XMLCite \textit{J. Hron} et al., Math. Comput. Simul. 82, No. 10, 1853--1873 (2012; Zbl 1252.76064) Full Text: DOI
Heida, Martin; Málek, Josef; Rajagopal, K. R. On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. (English) Zbl 1295.76002 Z. Angew. Math. Phys. 63, No. 1, 145-169 (2012). MSC: 76A02 35Q35 74A15 74F10 76N99 PDFBibTeX XMLCite \textit{M. Heida} et al., Z. Angew. Math. Phys. 63, No. 1, 145--169 (2012; Zbl 1295.76002) Full Text: DOI
Rajagopal, K. R.; Saccomandi, G.; Vergori, L. Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity. (English) Zbl 1214.80003 Int. J. Heat Mass Transfer 54, No. 4, 783-789 (2011). Reviewer: Vladimir Sládek (Bratislava) MSC: 80A20 76D05 PDFBibTeX XMLCite \textit{K. R. Rajagopal} et al., Int. J. Heat Mass Transfer 54, No. 4, 783--789 (2011; Zbl 1214.80003) Full Text: DOI
Bellomo, N.; Málek, J. Continuum thermodynamics and nonlinear partial differential equations. (English) Zbl 1213.80002 Math. Models Methods Appl. Sci. 21, No. 1, 1-6 (2011). MSC: 80-06 80A17 PDFBibTeX XMLCite \textit{N. Bellomo} and \textit{J. Málek}, Math. Models Methods Appl. Sci. 21, No. 1, 1--6 (2011; Zbl 1213.80002) Full Text: DOI
Hron, Jaroslav; Málek, Josef; Průša, Vít; Rajagopal, K. R. Further remarks on simple flows of fluids with pressure-dependent viscosities. (English) Zbl 1206.35207 Nonlinear Anal., Real World Appl. 12, No. 1, 394-402 (2011). MSC: 35Q35 35A01 35D30 76D05 PDFBibTeX XMLCite \textit{J. Hron} et al., Nonlinear Anal., Real World Appl. 12, No. 1, 394--402 (2011; Zbl 1206.35207) Full Text: DOI
Heida, Martin; Málek, Josef On compressible Korteweg fluid-like materials. (English) Zbl 1231.76248 Int. J. Eng. Sci. 48, No. 11, 1313-1324 (2010). MSC: 76N99 35Q35 74A15 76A02 PDFBibTeX XMLCite \textit{M. Heida} and \textit{J. Málek}, Int. J. Eng. Sci. 48, No. 11, 1313--1324 (2010; Zbl 1231.76248) Full Text: DOI
Fusi, Lorenzo; Farina, Angiolo A mathematical model for an upper convected Maxwell fluid with an elastic core: study of a limiting case. (English) Zbl 1231.76010 Int. J. Eng. Sci. 48, No. 11, 1263-1278 (2010). MSC: 76A10 PDFBibTeX XMLCite \textit{L. Fusi} and \textit{A. Farina}, Int. J. Eng. Sci. 48, No. 11, 1263--1278 (2010; Zbl 1231.76010) Full Text: DOI
Málek, J.; Rajagopal, K. R. Compressible generalized Newtonian fluids. (English) Zbl 1273.76025 Z. Angew. Math. Phys. 61, No. 6, 1097-1110 (2010). MSC: 76A05 82D15 PDFBibTeX XMLCite \textit{J. Málek} and \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 61, No. 6, 1097--1110 (2010; Zbl 1273.76025) Full Text: DOI
Bulíček, Miroslav; Majdoub, Mohamed; Málek, Josef Unsteady flows of fluids with pressure dependent viscosity in unbounded domains. (English) Zbl 1201.35156 Nonlinear Anal., Real World Appl. 11, No. 5, 3968-3983 (2010). MSC: 35Q35 35Q30 76D05 76M10 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Nonlinear Anal., Real World Appl. 11, No. 5, 3968--3983 (2010; Zbl 1201.35156) Full Text: DOI arXiv
Rajagopal, K. R. A note on a reappraisal and generalization of the Kelvin-Voigt model. (English) Zbl 1258.74034 Mech. Res. Commun. 36, No. 2, 232-235 (2009). MSC: 74D10 PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Mech. Res. Commun. 36, No. 2, 232--235 (2009; Zbl 1258.74034) Full Text: DOI
Ostoja-Starzewski, Martin A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. (English) Zbl 1213.80005 Int. J. Eng. Sci. 47, No. 7-8, 807-810 (2009). MSC: 80A10 80A20 82D50 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski}, Int. J. Eng. Sci. 47, No. 7--8, 807--810 (2009; Zbl 1213.80005) Full Text: DOI
Karra, Satish; Rajagopal, Kumbakonam R. Development of three dimensional constitutive theories based on lower dimensional experimental data. (English) Zbl 1200.76005 Appl. Math., Praha 54, No. 2, 147-176 (2009). MSC: 76A02 76A05 76A10 74D10 PDFBibTeX XMLCite \textit{S. Karra} and \textit{K. R. Rajagopal}, Appl. Math., Praha 54, No. 2, 147--176 (2009; Zbl 1200.76005) Full Text: DOI arXiv EuDML
Karra, S.; Rajagopal, K. R. A thermodynamic framework to develop rate-type models for fluids without instantaneous elasticity. (English) Zbl 1167.76004 Acta Mech. 205, No. 1-4, 105-119 (2009). MSC: 76A10 82D15 PDFBibTeX XMLCite \textit{S. Karra} and \textit{K. R. Rajagopal}, Acta Mech. 205, No. 1--4, 105--119 (2009; Zbl 1167.76004) Full Text: DOI arXiv
Barot, G.; Rao, I. J.; Rajagopal, K. R. A thermodynamic framework for the modeling of crystallizable shape memory polymers. (English) Zbl 1213.74242 Int. J. Eng. Sci. 46, No. 4, 325-351 (2008). MSC: 74N05 74F05 74A15 PDFBibTeX XMLCite \textit{G. Barot} et al., Int. J. Eng. Sci. 46, No. 4, 325--351 (2008; Zbl 1213.74242) Full Text: DOI