Springe direkt zu Inhalt

Beyond Fick's Law: Pressure-Driven Phenomena in Multi-Species Diffusion

Katharina Hopf, Humboldt-Universität zu Berlin, Mathematik  


The phenomenon of diffusion is ubiquitous in nature - everyday examples include the spread of perfume or smoke through the surrounding air, and the dispersion of a droplet of ink in a glass of water. In this seminar, we will go beyond the classical paradigm of Fick's law of diffusion. Our focus lies on a cross-diffusion system for two species driven by a population pressure that induces a spreading effect. The ultimate goal is to understand the effective dynamics of this system in a certain stiff-pressure regime. To this end, we employ a variety of mathematical methods from Analysis, Geometry, and Numerics. Prerequisite for this course is a basic knowledge of Partial Differential Equations. A good background in mathematical analysis, elementary differential geometry, or numerical simulation of differential equations is beneficial. The primary target group are MSc and advanced BSc students in Mathematics or a related discipline.



Link zum Vorlesungsverzeichnis