Universität Wien
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250120 VO Topics course analysis (2016S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes

FP ESI, Nr. 283
Erwin Schrödinger Institut für Mathematik und Physik, Boltzmanngasse 9, 1090 Wien Erwin Schrödinger Hörsaal
Beginn: 14. April 2016
jeweils Donnerstag und Freitag 13:15 bis 14:45

Information

Aims, contents and method of the course

In the last 25 years, Optimal transport theory, which lies between Calculus of Variations, Probability and Geometry, has been used many times to address non-linear elliptic PDEs, such as
the real Monge-Ampere equation, or parabolic equations such as the heat equation and many nonlinear generalizations. Its link with conservative, hamiltonian and hyperbolic PDEs is much less documented.

The aim of this course is to cover two important examples: namely the Euler equations of incompressible fluids, which goes back to the 18th
century (few years before Monge introduced the first optimal transport problem) and the Born-Infeld equations of Electromagnetism which goes back to 1934 and has been revisited in the 90s by High Energy Physicists.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MANV

Last modified: We 19.08.2020 08:05