Analysis of Mathematical Models of Bodies Moving through Fluids II - NMMA622
Title: Analýza matematických modelů, popisujících pohyb tělesa v tekutině II
Guaranteed by: Institute of Mathematics CAS (32-MUAV)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
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: taught
Language: English
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
Guarantor: RNDr. Šárka Nečasová, DSc.
prof. Mgr. Milan Pokorný, Ph.D., DSc.
Teacher(s): prof. Mgr. Petr Knobloch, Dr., DSc.
RNDr. Šárka Nečasová, DSc.
Class: DS, matematická analýza
Classification: Mathematics > Differential Equations, Potential Theory, Mathematical Modeling in Physics
Incompatibility : NDIR241
Interchangeability : NDIR241
Is interchangeable with: NDIR241
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Annotation -
The aim of the lecture is the introduction to the theory of mathematical modelling of fluid mechanics and the motion of bodies in the viscous fluids. The tools: classicakl and Fourier analysis, especially the theory of function spaces based on Littlewood-Paley theory, theory of linear viscous stationary models of hydromehanics (Stokes, Oseen), steady Navier-Stokes equation s, the modelling of motion of bodies in the fluids and numerical analysis.
Last update: G_M (07.05.2014)
Aim of the course -

To present the mathematical tools (harmonic analysis, weighted estimates) and to apply them in the study of chosen problems in the theory of the flow around a rigid body.

Last update: G_M (07.05.2014)
Literature - Czech

Recent journal papers on currently discussed topics.

Last update: T_MUUK (27.04.2016)
Teaching methods - Czech

přednáška

Last update: G_M (07.05.2014)
Syllabus -

The aim of the lecture is the introduction to the theory of mathematical modelling of fluid mechanics and the motion of bodies in the viscous fluids. The tools: classicakl and Fourier analysis, especially the theory of function spaces based on Littlewood-Paley theory, theory of linear viscous stationary models of hydromehanics (Stokes, Oseen), steady Navier-Stokes equation s, the modelling of motion of bodies in the fluids and numerical analysis.

Last update: G_M (07.05.2014)
Entry requirements -

Basic knowledge of PDEs (classical theory is sufficient)

Last update: Pokorný Milan, prof. Mgr., Ph.D., DSc. (21.06.2021)