Module Handbook

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Course MAT-81-34-K-7

Mathematical Methods for Interacting Particle Systems (2V, 4.5 LP)

Course Type

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

Basedata

SWS 2V
CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-TEMA] Industrial Mathematics
Additional informations
Livecycle-State [NORM] Active

Contents

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.

Literature

  • H. Spohn: Large scale dynamics of interacting particles.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-81-34-K-7]

Module Name Context
[MAT-81-34-M-7] Mathematical Methods for Interacting Particle Systems P: Obligatory 2V, 4.5 LP