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.
Contact: hopf@wias-berlin.de
Admission to X-Student Research Groups
Please find information on admission for students of Humboldt-Universität zu Berlin, Freie Universität Berlin, Technische Universität Berlin and Charité - Universitätsmedizin Berlin on the website of Berlin University Alliance: https://www.berlin-university-alliance.de/commitments/teaching-learning/sturop/research-groups/stud/index.html
Please contact the BUA Office for Teaching and Learning with any questions: https://hu.berlin/bua
Die Veranstaltung wurde 1 mal im Vorlesungsverzeichnis SoSe 2024 gefunden:
