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Course, academic year 2023/2024
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Mathematical Theory of Navier-Stokes Equations - NDIR010
Title: Matematická teorie Navierových-Stokesových rovnic
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Josef Málek, CSc., DSc.
prof. Mgr. Milan Pokorný, Ph.D., DSc.
Class: DS, matematická analýza
Classification: Mathematics > Differential Equations, Potential Theory
Interchangeability : NMMO532
Is incompatible with: NMMO532
Is interchangeable with: NMMO532
Annotation -
Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (18.05.2007)
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: MPOKORNY/MFF.CUNI.CZ (28.04.2008)

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

Literature -
Last update: MPOKORNY/MFF.CUNI.CZ (28.04.2008)

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: MPOKORNY/MFF.CUNI.CZ (28.04.2008)

přednáška

Syllabus -
Last update: prof. Mgr. Milan Pokorný, Ph.D., DSc. (18.05.2007)

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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