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250027 VO Applied analysis (2011S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Vorbesprechung am Donnerstag, 3. März 2011
Erstmals am Donnerstag, 10. März 2011
Termine: Mi 12.30 - 14.00 und Do 12.40 - 14.10 Uhr, Seminarraum C 714 (UZA 4)

Details

Language: German

Lecturers

Classes

Currently no class schedule is known.

Information

Aims, contents and method of the course

We focus on methods for the analytical treatment of PDEs and the
connection of analysis to modeling. Regular and singular perturbation theory is introduced as a tool for asymptotic expansions in the context of model hierarchies. Other topics are homogenization of PDE and the Boltzmann equation with its model hierarchy up to the Euler equations. Applications in science and technology are discussed and provide the motivation for developing theoretical methods.

Assessment and permitted materials

Minimum requirements and assessment criteria

The goal is to provide an introduction to the methods of applied analysis and apply these methods to physical systems of current interest. Questions answered are: how can we model (selected) physical systems? Which mathematical tools can we use? What are the properties of our models? Do unique solutions of the model equations exist?

Examination topics

Dimensionless variables, scaling, perturbations; continuum mechanics;
multi-scale problems; homogenization; Boltzmann equation; overview of numerical methods; modeing and simulations in applications.

Reading list

Association in the course directory

MAMA

Last modified: Tu 03.08.2021 00:23