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Last update: T_MUUK (05.05.2015)
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (07.02.2023)
Oral exam, material covered during the lectures will be required.
In case of interest, contact Milan Pokorny by e-mail. |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (07.02.2023)
L.C. Evans: Partial differential equations, Amer. Math. Soc. 2000 E. Feireisl: Dynamics of viscous compressible fluid, Oxford University Press, Oxford 2004 P.-L. Lions: Mathematical topics in fluid dynamics, II., Oxford University Press, Oxford 1998 E. Feireisl, T. Karper, M. Pokorný: Mathematical theory of compressible viscous fluids. Analysis and numerics. Advances in Mathematical Fluid Mechanics. Lecture Notes in Mathematical Fluid Mechanics. Birkhäuser/Springer, Cham, 2016. E. Feireisl, M. Pokorný: Mathematical theory of compressible viscous fluids, https://www2.karlin.mff.cuni.cz/~pokorny/LectureNotes/Feireisl_Pokorny_Compressible.pdf |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (07.02.2018)
At the oral exam, the knowledge of the material covered at the lectures will be required. The best source of information are the Lecture Notes available on the web. |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (07.02.2023)
1. Physical background. 2. Mathematical preliminaries. 3. A priori estimates. 4. Variational solutions. 5. Pressure estimates. 6. Fundamental ideas presented on the weak compactness problem. 7. Construction of approximation of solutions. 8. Limit passages -- existence of a solution. |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (21.06.2021)
Basic knowlege of linear partial differential equations (Sobolev spaces, weak solution for linear elliptic, hyperbolic and parabolic PDEs) |