Webrelaunch 2020

Introduction to Fluid Mechanics (Summer Semester 2023)

Lecture: Monday 9:45-11:15 20.30 SR 3.61
Friday 14:00-15:30 (every 2nd week) 20.30 SR 2.66
Problem class: Friday 14:00-15:30 (every 2nd week) 20.30 SR 2.66
Lecturer JProf. Dr. Xian Liao
Office hours: by appointment
Room 3.027 Kollegiengebäude Mathematik (20.30)
Email: xian.liao@kit.edu
Problem classes M. Sc. Rebekka Zimmermann
Office hours: by appointment
Room 3.030 Kollegiengebäude Mathematik (20.30)
Email: rebekka.zimmermann@kit.edu

After an introduction to the derivation of mathematical models in fluid mechanics, we will turn to the mathematical theory of the two fundamental models: Euler equations and Navier-Stokes equations, which describe the motions of inviscid fluids and viscous fluids respectively. Aside from the one-dimensional isentropic compressible Euler equations, we will focus on incompressible models. The existence and uniqueness of weak/strong solutions as well as the global-in-time results in dimension two will be discussed.

Prerequisites: Analysis 1-4, Functional Analysis

Lecture Notes (to be updated after each lecture):
Version 24.07.2023

Exercise Sheets
Exercise sheet 1 (To be explained on 28.04.2023)
Exercise sheet 2 (To be explained on 12.05.2023)
Exercise sheet 3 (To be explained on 26.05.2023)
Exercise sheet 4 (To be explained on 23.06.2023)
Exercise sheet 5 (To be explained on 30.06.2023)
Exercise sheet 6 (To be explained on 14.07.2023)
Exercise sheet 7 (To be explained on 21.07.2023)


Oral Exam: 02.08.2023-03.08.2023