SubjectsSubjects(version: 945)
Course, academic year 2023/2024
   Login via CAS
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
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
Guarantor: RNDr. Šárka Nečasová, DSc.
doc. 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 -
Last update: G_M (07.05.2014)
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.
Course completion requirements -
Last update: doc. Mgr. Petr Knobloch, Dr., DSc. (31.10.2019)

Exam

Literature -
Last update: T_MUUK (27.04.2016)

Recent journal papers on currently discussed topics.

Requirements to the exam -
Last update: doc. Mgr. Petr Knobloch, Dr., DSc. (31.10.2019)

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.

Syllabus -
Last update: G_M (07.05.2014)

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.

Entry requirements -
Last update: doc. Mgr. Petr Knobloch, Dr., DSc. (31.10.2019)

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

 
Charles University | Information system of Charles University | http://www.cuni.cz/UKEN-329.html