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Mathematical theory regarding the existence of a weak solution and the questions of its uniqueness and regularity is presented. We focus on the evolutionary model
in three spatial dimensions.
Last update: T_MUUK (14.05.2013)
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To explain the students the basic notions of the theory of evolutionary Navier--Stokes equations. Last update: T_MUUK (14.05.2013)
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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. Last update: Pokorný Milan, prof. Mgr., Ph.D., DSc. (07.02.2023)
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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. Last update: Pokorný Milan, prof. Mgr., Ph.D., DSc. (07.02.2023)
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přednáška Last update: T_MUUK (14.05.2013)
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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). Last update: Pokorný Milan, prof. Mgr., Ph.D., DSc. (30.04.2020)
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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. Last update: Pokorný Milan, prof. Mgr., Ph.D., DSc. (07.02.2023)
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Basic knowledge of partial differential equations (Sobolev spaces, weak solution for linear elliptic and parabolic PDEs) Last update: Pokorný Milan, prof. Mgr., Ph.D., DSc. (21.06.2021)
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