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76A05 Non-Newtonian fluids (31 articles)

• Almqvist, Andreas; Burtseva, Evgeniya; Rajagopal, Kumbakonam R.; Wall, Peter: On modeling flow between adjacent surfaces where the fluid is governed by implicit algebraic constitutive relations. (English). Applications of Mathematics, vol. 69 (2024), issue 6, pp. 725-746
• Sin, Cholmin: Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 4, pp. 1017-1056
• Kim, Jae-Myoung: Upper and lower convergence rates for strong solutions of the 3D non-Newtonian flows associated with Maxwell equations under large initial perturbation. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 2, pp. 395-413
• Sin, Cholmin; Ri, Sin-Il: Existence of weak solutions for steady flows of electrorheological fluid with Navier-slip type boundary conditions. (English). Mathematica Bohemica, vol. 147 (2022), issue 4, pp. 567-585
• Keslerová, Radka; Lancmanová, Anna; Bodnár, Tomáš: Validation of numerical simulations of a simple immersed boundary solver for fluid flow in branching channels. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 85-96
• Keslerová, Radka; Řezníček, Hynek; Padělek, Tomáš: Numerical simulation of generalized Newtonian fluids flow in bypass geometry. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 63-70
• Keslerová, Radka; Trdlička, David; Řezníček, Hynek: Numerical modelling of steady and unsteady flows of generalized Newtonian fluids. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 55-62
• Keslerová, Radka; Kozel, Karel: Numerical modelling of viscous and viscoelastic fluids flow through the branching channel. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 100-105
• Le Roux, Christiaan; Rajagopal, Kumbakonam R.: Shear flows of a new class of power-law fluids. (English). Applications of Mathematics, vol. 58 (2013), issue 2, pp. 153-177
• Keslerová, Radka; Kozel, Karel: Numerical simulation of generalized Newtonian and Oldroyd-B fluids flow. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 112-117
• Bognár, Gabriella: On similarity solution of a boundary layer problem for power-law fluids. (English). Mathematica Bohemica, vol. 137 (2012), issue 2, pp. 139-148
• Keslerová, Radka; Kozel, Karel: Steady and unsteady 2D numerical solution of generalized Newtonian fluids flow. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 117-126
• Lanzendörfer, Martin; Stebel, Jan: On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities. (English). Applications of Mathematics, vol. 56 (2011), issue 3, pp. 265-285
• Bulíček, Miroslav; Ulrych, Oldřich: Planar flows of incompressible heat-conducting shear-thinning fluids — existence analysis. (English). Applications of Mathematics, vol. 56 (2011), issue 1, pp. 7-38
• Bulíček, M.; Málek, J.; Rajagopal, K. R.: Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling $\nu (p, \cdot ) \to + \infty $ as $p \to +\infty $. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 2, pp. 503-528
• Karra, Satish; Rajagopal, Kumbakonam R.: Development of three dimensional constitutive theories based on lower dimensional experimental data. (English). Applications of Mathematics, vol. 54 (2009), issue 2, pp. 147-176
• Mihăilescu, Mihai: On a class of nonlinear problems involving a $p(x)$-Laplace type operator. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 155-172
• Wolf, Jörg: Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case $q=\frac{3d}{d+2}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 4, pp. 659-668
• Růžička, Michael; Diening, Lars: Non-Newtonian fluids and function spaces. (English). In: Rákosník, Jiří (ed.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Prague, May 30-June 6, 2006. Vol. 8. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, 2007. pp. 95-143
• Vasudevaiah, Macherla; Rajagopal, Kumbakonam R.: On fully developed flows of fluids with a pressure dependent viscosity in a pipe. (English). Applications of Mathematics, vol. 50 (2005), issue 4, pp. 341-353
• Guillén-González, F.: Density-dependent incompressible fluids with non-Newtonian viscosity. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 3, pp. 637-656
• Růžička, Michael: Modeling, mathematical and numerical analysis of electrorheological fluids. (English). Applications of Mathematics, vol. 49 (2004), issue 6, pp. 565-609
• Rajagopal, K. R.: On implicit constitutive theories. (English). Applications of Mathematics, vol. 48 (2003), issue 4, pp. 279-319
• Solonnikov, V. A.: Initial-boundary value problem for generalized Stokes equations. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 505-519
• Roubíček, Tomáš: Steady-state buoyancy-driven viscous flow with measure data. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 493-504
• Kaplický, Petr; Málek, Josef; Stará, Jana: Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 681-695
• Pokorný, Milan: Steady plane flow of second-grade fluid in exterior domains. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 36 (1997), issue 1, pp. 167-177
• Pokorný, Milan: Cauchy problem for the non-newtonian viscous incompressible fluid. (English). Applications of Mathematics, vol. 41 (1996), issue 3, pp. 169-201
• Matušů - Nečasová, Šárka; Medviďová, Mária: Bipolar barotropic nonnewtonian fluid. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 467-483
• Habala, Petr: Stationary incompressible bipolar fluids. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 347-356
• Málek, Josef; Nečas, Jindřich; Novotný, Antonín: Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 3, pp. 549-576