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Course, academic year 2024/2025
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Analysis of Mathematical Models of Bodies Moving through Fluids I - NMMA621
Title: Analýza matematických modelů, popisujících pohyb tělesa v tekutině I
Guaranteed by: Institute of Mathematics CAS (32-MUAV)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
Guarantor: RNDr. Šárka Nečasová, DSc.
prof. Mgr. Petr Knobloch, Dr., DSc.
Class: DS, matematická analýza
Classification: Mathematics > Differential Equations, Potential Theory, Mathematical Modeling in Physics
Incompatibility : NDIR240
Interchangeability : NDIR240
Is interchangeable with: NDIR240
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)
Course completion requirements -

Exam

Last update: Knobloch Petr, prof. Mgr., Dr., DSc. (31.10.2019)
Literature -

Recent journal papers on currently discussed topics.

Last update: T_MUUK (27.04.2016)
Requirements to the exam -

The exam is oral.

The requirements for the exam correspond to the syllabus of the subject in the extent that was presented at the lecture.

Last update: Knobloch Petr, prof. Mgr., Dr., DSc. (31.10.2019)
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 -

Theory of partial differential equations, basics of the linear functional analysis, basics of the finite element method.

Last update: Knobloch Petr, prof. Mgr., Dr., DSc. (31.10.2019)
 
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