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Last update: T_MUUK (14.05.2013)
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Last update: T_MUUK (14.05.2013)
To explain the students the basic notions of the theory of evolutionary Navier--Stokes equations. |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (07.02.2023)
The student is required to pass an oral exam based on the material from the lecture.
In case you are interested in the course, please contact by e-mail Milan Pokorny. |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (07.02.2023)
G.P. Galdi: An introduction to the Navier-Stokes initial-boundary value problem, Galdi, Giovanni P. (ed.) et al., Fundamental directions in mathematical fluid mechanics, Basel: Birkhäuser, 1-70, 2000.
M. Pokorný: Navier--Stokesovy rovnice, https://www2.karlin.mff.cuni.cz/~pokorny/LectureNotes/NavierandStokes_eng.pdf https://www2.karlin.mff.cuni.cz/~pokorny/LectureNotes/regularita_NS_English.pdf
R. Temam: Navier-Stokes equations. Theory and numerical analysis, Providence, RI: American Mathematical Society (AMS), 2001. |
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Last update: T_MUUK (14.05.2013)
přednáška |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (30.04.2020)
The material covered during the lecture available also in the Lecture notes (in Czech or English for the general part and for the suitable weak solution). |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (07.02.2023)
Mathematical theory regarding the existence of a weak solution and the questions of its uniqueness and regularity is presented. Suitable weak solution, partial regularity. We focus on the evolutionary model in three spatial dimensions. |
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Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (21.06.2021)
Basic knowledge of partial differential equations (Sobolev spaces, weak solution for linear elliptic and parabolic PDEs) |