Mathematical Methods for Interacting Particle Systems (2V, 4.5 LP)
|SWS||Type||Course Form||CP (Effort)||Presence-Time / Self-Study|
|2||V||Lecture||4.5 CP||28 h||107 h|
|(2V)||4.5 CP||28 h||107 h|
|CP, Effort||4.5 CP = 135 h|
|Position of the semester||1 Sem. irreg.|
|Level|| Master (Advanced)|
+ further Lecturers of the department Mathematics
|Area of study||[MAT-TEMA] Industrial Mathematics|
Particle systems with a large number of particles and their approximation by means of mesoscopic, kinetic and macroscopic models are considered. In particular, the following topics are covered:
- systems of independent particles: Newton, Liouville, hyperbolic and diffusive limits,
- systems of independent particles: Langevin, fiber equations, Fokker-Planck equations, hyperbolic and diffusive approximation,
- systems of interacting particles: coupled Newton systems, Liouville equation, Mean-Field equations, Boltzmann equation, linear transport equations, macroscopic limits,
- interacting particles: stochastic particle systems.
- H. Spohn: Large scale dynamics of interacting particles.
Further literature will be announced in the lecture.
Requirements for attendance (informal)
- [MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)
- [MAT-80-11B-M-4] Introduction to PDE (M, 4.5 LP)
Requirements for attendance (formal)None
References to Course [MAT-81-34-K-7]
|[MAT-81-34-M-7]||Mathematical Methods for Interacting Particle Systems||P: Obligatory||2V, 4.5 LP|