Kinetic and non-equilibrium conservation laws

Summary

Study of kinetic models and non-equilibrium conservation laws, linking particle interactions to macroscopic behavior. Covers analysis, simulation, and modeling across scales and media using kinetic theory, reduced-order models, and particle methods.

Content

Keywords

Kinetic Theory, Langevin Dynamics, Particle Methods

Learning Prerequisites

Required courses

Background in PDEs, stochastic processes, and basic numerical methods is required.

Teaching methods

Lectures: Delivered using both blackboard and slides. Lecture notes will be provided.

Exercise Sessions: Weekly sessions combining problem-solving exercises with seminar-style discussions.

Assessment methods

Oral

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Resources

Moodle Link

• https://go.epfl.ch/MATH-532