101.913 AKANA Scaling limits and kinetic theory
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021S, VO, 2.0h, 3.0EC
TUWEL

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture
  • Format: Online

Learning outcomes

After successful completion of the course, students are able to underststand various modelling approaches with deterministic (and stochastic) differential equations. They will understand  formal as well as partly also rigorous derivations of kinetic equations from the microscopic level, as well as macroscopic (fluid-dynamic) equations from the kinetic level. Additionally, they will gain some basic knowledge in the concepts and methods of kinetic theory.

Subject of course

- Modelling with deterministic and stochastic differential equations: Micro-meso- and macroscopic scales

- Introduction to kinetic theory

- The Boltzmann equation

- The concept of hypocoercivity

- Formal and partly rigorous derivation of the Boltzmann equation from microscopic models and from the Boltzmann equation to fluid-dynamic   equations

 

Teaching methods

Weekly zoom meetings on Tuesday, 10:00 - 12:00 a.m., starting 02.03.2021

zoom data to be found on TUWEL

Mode of examination

Oral

Lecturers

  • Daus, Esther

Institute

Examination modalities

oral  exam

Course registration

Begin End Deregistration end
25.02.2021 12:00

Curricula

Study CodeObligationSemesterPrecon.Info
860 GW Optional Courses - Technical Mathematics Not specified

Literature

No lecture notes are available.

Previous knowledge

Partial Differential Equations

Language

if required in English