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Course, academic year 2019/2020
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Mathematical Theory of Navier-Stokes Equations - NMMO532
Title in English: Matematická teorie Navierových-Stokesových rovnic
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019 to 2019
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: doc. Mgr. Milan Pokorný, Ph.D.
Class: M Mgr. MA
M Mgr. MA > Povinně volitelné
M Mgr. MOD
M Mgr. MOD > Povinně volitelné
Classification: Mathematics > Differential Equations, Potential Theory
Incompatibility : NDIR010
Interchangeability : NDIR010
Annotation -
Last update: T_MUUK (14.05.2013)
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.
Aim of the course -
Last update: T_MUUK (14.05.2013)

To explain the students the basic notions of the theory of evolutionary Navier--Stokes equations.

Course completion requirements
Last update: doc. Mgr. Milan Pokorný, Ph.D. (07.02.2018)

The student is required to pass an oral exam based on the material from the lecture.

Literature -
Last update: T_MUUK (14.05.2013)

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, http://www.karlin.mff.cuni.cz/~pokorny/NS.pdf.

R. Temam: Navier-Stokes equations. Theory and numerical analysis, Providence, RI: American Mathematical Society (AMS), 2001.

Teaching methods - Czech
Last update: T_MUUK (14.05.2013)

přednáška

Requirements to the exam
Last update: doc. Mgr. Milan Pokorný, Ph.D. (07.02.2018)

The material covered during the lecture available also in the Lecture notes (in Czech or English for the general part, in Czech for the suitable weak solution).

Syllabus -
Last update: T_MUUK (14.05.2013)

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.

 
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