241107 Introduction to fluid dynamics (S) (SoSe 2025)

Contents, comment

This seminar will focus on partial differential equations of fundamental importance in fluid dynamics, specifically the Euler and Navier-Stokes equations, which describe the motion of perfect and viscous fluid flows, respectively. Despite extensive research, many problems related to fluid equations remain unresolved.

We will begin with the derivation of mathematical models for fluid flows and a discussion of classical existence and uniqueness results for the incompressible models. Following this, we will explore topics such as stationary problems, the variational approach to Euler equations, and the well-posedness and incompressible limit of compressible Navier-Stokes equations. The specific topics covered will be tailored to match the participants' levels and interests.

Prerequisites:
Functional analysis and a course in PDE

Preliminary meeting:
28.01.2025 , 14:00 in V3-201

Requirements for participation, required level

Functional analysis and a course in PDE

Teaching staff

Dates ( Calendar view )

Frequency Weekday Time Format / Place Period  
one-time Di 14-16 V3-201 28.01.2025 Preliminary meeting
weekly Mo 8-10 V4-116 07.04.-18.07.2025
not on: 4/21/25

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Subject assignments

Module Course Requirements  
24-M-P1 Profilierung 1 Profilierungsseminar Study requirement
Student information
24-M-P1a Profilierung 1 Teil A Profilierungsseminar Study requirement
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24-M-P1b Profilierung 1 Teil B Profilierungsseminar Study requirement
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24-M-P2 Profilierung 2 Profilierungsseminar Study requirement
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24-M-PWM Profilierung Wirtschaftsmathematik Profilierungsseminar Study requirement
Student information

The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.

Degree programme/academic programme Validity Variant Subdivision Status Semester LP  
Bielefeld Graduate School in Theoretical Sciences / Promotion    
Mathematik / Promotion Subject-specific qualification   1  
Studieren ab 50    
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Registered number: 3
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Address:
SS2025_241107@ekvv.uni-bielefeld.de
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3 Students to be reached directly via email
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Last update basic details/teaching staff:
Tuesday, January 7, 2025 
Last update times:
Tuesday, February 11, 2025 
Last update rooms:
Tuesday, February 11, 2025 
Type(s) / SWS (hours per week per semester)
seminar (S) / 2
Language
This lecture is taught in english
Department
Faculty of Mathematics
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ID
517427282