DE

Modul

Introduction to Fluid Mechanics [M-MATH-106401]

Credits
6
Recurrence
Unregelmäßig
Duration
1 Semester
Language
English
Level
4
Version
1

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-112927 Introduction to Fluid Mechanics 6

Competence Certificate

The module examination takes the form of an oral examination of approx. 25 minutes.

Competence Goal

Graduates can

  • recognize the essential formulations of the partial differential equations in fluid mechanics and explain them using examples,
  • use techniques to describe the weak and strong solutions for the Euler and Navier-Stokes equations, and show the existence, uniqueness and regularity results,
  • name the special difficulties in the three-dimensional case,
  • understand the concept of stratification and explain it using concrete examples.

Prerequisites

None

Content

  • Derivation of models, modeling
  • Euler equations, Navier-Stokes equations
  • Biot-Savart law, Leray-Hopf decomposition
  • Wellposedness results
  • Regularity results

Recommendation

The module Functional Analysis is strongly recommended.

Workload

total work load: 180 hours