Universität Wien
Warning! The directory is not yet complete and will be amended until the beginning of the term.

250062 VO Applied analysis (2018W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Register/Deregister for this course

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

First meeting: Tue. 5.10.2018 @ 11.30 in HS11

  • Friday 05.10. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 12.10. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 19.10. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 23.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 30.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 06.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 09.11. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 16.11. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 20.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 23.11. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 27.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 30.11. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.12. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 07.12. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.12. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 14.12. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 11.01. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 18.01. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 25.01. 11:30 - 13:00 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

The course touches upon some aspects on some aspects of modern "Applied Analysis", namely "Asymptotic Analysis" and "Variational Methods".

Starting with the "scaling" of model equations we introduce regular and singular perturbation theory as a tool for asymptotic expansions in the context of "model hierarchies", like the transition from Burgers to Hopf equation or Boltzmann to Navier-Stokes to Euler equation.

We will also present an operative introduction to variational methods in analysis, with specific emphasis on existence theories, both in the linear and in the nonlinear setting. examples of application of discretization, monotonicity, and compactness methods will be presented.

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

Understanding of the key theory presented in the course and the key exercises.

Examination topics

What has been presented in the course.

Reading list

C. Schmeiser, "Angewandte Mathematik",
C. Kuttler, "Mathematische Modellbildung";
H. Brezis, "Functional Analysis, Sobolev Spaces and Partial Differential Equations", Springer, 2011.
R. E. Showalter, "Maximal Monotone Operators in Banach Spaces and Nonlinear Partial Differential Equations", AMS, 1996.

Association in the course directory

MAMA

Last modified: Tu 03.08.2021 00:23