• DML-CZ Home

76N10 Existence, uniqueness, and regularity theory (43 articles)

• O, Hyejong; Hong, Hakho; Kim, Jongsung: Global existence of smooth solutions for the compressible viscous fluid flow with radiation in $\mathbb {R}^3$. (English). Applications of Mathematics, vol. 68 (2023), issue 5, pp. 535-558
• Yang, Xiuhui: Local well-posedness for a two-phase model with magnetic field and vacuum. (English). Applications of Mathematics, vol. 66 (2021), issue 4, pp. 619-639
• Kučera, Václav; Lukáčová-Medviďová, Mária; Noelle, Sebastian; Schütz, Jochen: Low-Mach consistency of a class of linearly implicit schemes for the compressible Euler equations. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 21-26, 2020. Institute of Mathematics CAS, Prague, 2021. pp. 69-78
• Ersoy, Mehmet: Dimension reduction for incompressible pipe and open channel flow including friction. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 17-33
• Ducomet, Bernard; Nečasová, Šárka: On the motion of rigid bodies in a compressible viscous fluid under the action of gravitational forces. (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. 83-98
• Novotný, Antonín; Pokorný, Milan: Weak solutions for steady compressible Navier-Stokes-Fourier system in two space dimensions. (English). Applications of Mathematics, vol. 56 (2011), issue 1, pp. 137-160
• Pecharová, Petra; Pokorný, Milan: Steady compressible Navier-Stokes-Fourier system in two space dimensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 4, pp. 653-679
• 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
• Novo, Sébastien; Novotný, Antonín: A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid. (English). Applications of Mathematics, vol. 50 (2005), issue 4, pp. 331-339
• 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
• Šolín, Pavel; Segeth, Karel: Non-uniqueness of almost unidirectional inviscid compressible flow. (English). Applications of Mathematics, vol. 49 (2004), issue 3, pp. 247-268
• Rohde, C.; Zajączkowski, W.: On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. (English). Applications of Mathematics, vol. 48 (2003), issue 4, pp. 257-277
• Aizicovici, Sergiu; Feireisl, Eduard: On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 757-767
• Šolín, Pavel; Segeth, Karel: Description of the multi-dimensional finite volume solver EULER. (English). Applications of Mathematics, vol. 47 (2002), issue 2, pp. 169-185
• Li, Jiequan; Warnecke, Gerald: On measure solutions to the Zero-pressure gas model and their uniqueness. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 265-273
• Feireisl, Eduard: Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 203-209
• Šolín, Pavel; Segeth, Karel: Non-uniqueness of solution to quasi-1D compressible Euler equations. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 379-389
• Feireisl, Eduard: On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 83-98
• Li, Jiequan; Warnecke, Gerald: On measure solutions to the zero-pressure gas model and their uniqueness. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 215-223
• Feireisl, Eduard: Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 57-64
• Black, Kelly: A conservative spectral element method for the approximation of compressible fluid flow. (English). Kybernetika, vol. 35 (1999), issue 1, pp. [133]-146
• Lukáčová-Medviďová, Mária: Combined finite element -- finite volume method (convergence analysis). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 717-741
• Novotný, Antonín: About steady transport equation I -- $L^p$-approach in domains with smooth boundaries. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 1, pp. 43-89
• Novotný, Antonín: Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 305-342
• Yanagi, Shigenori: Asymptotic behavior of the solutions to a one-dimensional motion of compressible viscous fluids. (English). Mathematica Bohemica, vol. 120 (1995), issue 4, pp. 431-443
• Matušů - Nečasová, Šárka; Medviďová, Mária: Bipolar barotropic nonnewtonian fluid. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 467-483
• Padula, Mariarosaria: On the exterior steady problem for the equations of a viscous isothermal gas. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 275-293
• Matušů-Nečasová, Šárka: Global solution of viscous compressible barotropic multipolar gas in a finite channel with nonzero input and output. (English). Applications of Mathematics, vol. 37 (1992), issue 3, pp. 161-171
• Matušů-Nečasová, Šárka: Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output. (English). Applications of Mathematics, vol. 36 (1991), issue 1, pp. 46-71
• Neustupa, Jiří; Novotný, Antonín: Global weak solvability to the regularized viscous compressible heat conductive flow. (English). Applications of Mathematics, vol. 36 (1991), issue 6, pp. 417-431
• Lovicar, Vladimír; Straškraba, Ivan: Remark on cavitation solutions of stationary compressible Navier-Stokes equations in one dimension. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 4, pp. 653-662
• Nečas, Jindřich; Novotný, Antonín; Šilhavý, Miroslav: Global solution to the ideal compressible heat conductive multipolar fluid. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 551-564
• Feistauer, Miloslav: Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles. (English). Aplikace matematiky, vol. 34 (1989), issue 4, pp. 318-339
• Neustupa, Jiří: Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid. (English). Aplikace matematiky, vol. 33 (1988), issue 5, pp. 389-409
• Felcman, Jiří: Numerical solutions of cascade flows by finite element method [Abstract of thesis]. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 198-199
• Feistauer, Miloslav; Felcman, Jiří; Vlášek, Zdeněk: Finite element solution of flows through cascades of profiles in a layer of variable thickness. (English). Aplikace matematiky, vol. 31 (1986), issue 4, pp. 309-339
• Straškraba, Ivan: Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces. (English). Aplikace matematiky, vol. 31 (1986), issue 6, pp. 461-479
• Štědrý, Milan; Vejvoda, Otto: Equations of magnetohydrodynamics of compressible fluid: Periodic solutions. (English). Aplikace matematiky, vol. 30 (1985), issue 2, pp. 77-91
• Neustupa, Jiří: The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [409]-414
• Feistauer, Miloslav: Mathematical and numerical study of nonlinear problems in fluid mechanics. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [3]-16
• Tani, Atusi: Multiphase free boundary problem for the equations of motion of general fluids. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 201-208
• Valli, Alberto: Qualitative properties of the solutions to the Navier-Stokes equations for compressible fluids. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [259]-264
• Straškraba, Ivan: A note on critical times of $2\times2$ quasilinear hyperbolic systems. (English). Aplikace matematiky, vol. 29 (1984), issue 4, pp. 294-302