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76D03 Existence, uniqueness, and regularity theory (47 articles)

• Li, Kwang-Ok; Kim, Yong-Ho: Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping. (English). Applications of Mathematics, vol. 68 (2023), issue 2, pp. 191-207
• Neustupa, Tomáš: The maximum regularity property of the steady Stokes problem associated with a flow through a profile cascade in $L^r$-framework. (English). Applications of Mathematics, vol. 68 (2023), issue 2, pp. 171-190
• Le Roux, Christiaan: On the Navier-Stokes equations with anisotropic wall slip conditions. (English). Applications of Mathematics, vol. 68 (2023), issue 1, pp. 1-14
• 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
• Zhang, Zujin; Tong, Chenxuan: Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations. (English). Applications of Mathematics, vol. 67 (2022), issue 4, pp. 485-507
• Kim, Tujin: Steady Boussinesq system with mixed boundary conditions including friction conditions. (English). Applications of Mathematics, vol. 67 (2022), issue 5, pp. 593-613
• Zhang, Zujin; Zhang, Yali: An improved regularity criteria for the MHD system based on two components of the solution. (English). Applications of Mathematics, vol. 66 (2021), issue 3, pp. 451-460
• Pan, Nana; Fan, Jishan; Zhou, Yong: Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system. (English). Applications of Mathematics, vol. 66 (2021), issue 3, pp. 373-382
• Ben Omrane, Ines; Gala, Sadek; Kim, Jae-Myoung; Ragusa, Maria Alessandra: Logarithmically improved blow-up criterion for smooth solutions to the Leray-$\alpha $-magnetohydrodynamic equations. (English). Archivum Mathematicum, vol. 55 (2019), issue 1, pp. 55-68
• Zhang, Zujin; Wu, Chupeng; Zhou, Yong: On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 1165-1175
• Zhang, Zujin; Yuan, Weijun; Zhou, Yong: Some remarks on the Navier-Stokes equations with regularity in one direction. (English). Applications of Mathematics, vol. 64 (2019), issue 3, pp. 301-308
• Zhang, Zujin: Serrin-type regularity criterion for the Navier-Stokes equations involving one velocity and one vorticity component. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 1, pp. 219-225
• Sauer, Jonas: Maximal regularity of the spatially periodic Stokes operator and application to nematic liquid crystal flows. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 1, pp. 41-55
• Mácha, Václav: A short note on $L^q$ theory for Stokes problem with a pressure-dependent viscosity. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 2, pp. 317-329
• Yamazaki, Kazuo: On the global regularity of $N$-dimensional generalized Boussinesq system. (English). Applications of Mathematics, vol. 60 (2015), issue 2, pp. 109-133
• Neustupa, Jiří: A geometric improvement of the velocity-pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 685-698
• 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
• 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
• Jiang, Lingyu; Wang, Yidong: On the blow up criterion for the 2-D compressible Navier-Stokes equations. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 1, pp. 195-209
• 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
• Vasseur, Alexis: Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. (English). Applications of Mathematics, vol. 54 (2009), issue 1, pp. 47-52
• Frehse, Jens; Weigant, Wladimir: On quasi-stationary models of mixtures of compressible fluids. (English). Applications of Mathematics, vol. 53 (2008), issue 4, pp. 319-345
• Amrouche, Chérif; Bouzit, Hamid: The scalar Oseen operator $-\Delta + {\partial}/{\partial x_1}$ in $\mathbb{R}^2$. (English). Applications of Mathematics, vol. 53 (2008), issue 1, pp. 41-80
• Gala, Sadek: Uniqueness of weak solutions of the Navier-Stokes equations. (English). Applications of Mathematics, vol. 53 (2008), issue 6, pp. 561-582
• Cumsille, Patricio; Takahashi, Takéo: Wellposedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 961-992
• 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
• Huy, Nguyen Duc; Stará, Jana: On existence and regularity of solutions to a class of generalized stationary Stokes problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 2, pp. 241-264
• Córdoba, Diego: On the search for singularities in incompressible flows. (English). Applications of Mathematics, vol. 51 (2006), issue 4, pp. 299-320
• Montgomery-Smith, Stephen: Conditions implying regularity of the three dimensional Navier-Stokes equation. (English). Applications of Mathematics, vol. 50 (2005), issue 5, pp. 451-464
• Geissert, M.; Hieber, M.: $L^p$-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 69-76
• Kawabi, Hiroshi: On a construction of weak solutions to non-stationary Stokes type equations by minimizing variational functionals and their regularity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 1, pp. 161-178
• Huy, Nguyen Duc; Stará, Jana: On existence and Schauder regularity of solutions to a class of generalized stationary Stokes problems. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 123-133
• Frehse, Jens; Goj, Sonja; Málek, Josef: A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum. (English). Applications of Mathematics, vol. 50 (2005), issue 6, pp. 527-541
• 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
• Penel, Patrick; Pokorný, Milan: Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. (English). Applications of Mathematics, vol. 49 (2004), issue 5, pp. 483-493
• Skalák, Zdeněk: Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class $L^\infty (0,T,L^3(\Omega )^3)$. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 153-159
• Neustupa, Jiří: The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 547-558
• Kučera, Petr; Skalák, Zdeněk: A note on the generalized energy inequality in the Navier-Stokes equations. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 537-545
• Montgomery-Smith, Stephen; Pokorný, Milan: A counterexample to the smoothness of the solution to an equation arising in fluid mechanics. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 1, pp. 61-75
• Feireisl, Eduard: On the motion of rigid bodies in a viscous fluid. (English). Applications of Mathematics, vol. 47 (2002), issue 6, pp. 463-484
• Solonnikov, V. A.: Initial-boundary value problem for generalized Stokes equations. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 505-519
• Luckhaus, Stephan; Málek, Josef: On an evolutionary nonlinear fluid model in the limiting case. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 421-428
• Skalák, Zdeněk; Kučera, Petr: Remark on regularity of weak solutions to the Navier-Stokes equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 111-117
• Morimoto, H.; Fujita, H.: A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 457-468
• Roubíček, Tomáš: Steady-state buoyancy-driven viscous flow with measure data. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 493-504