Universität Wien

250087 VO Nonlinear - Waves (2010S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 03.03. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 04.03. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 10.03. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 11.03. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 17.03. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 18.03. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 24.03. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 25.03. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 14.04. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 15.04. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 21.04. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 22.04. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 28.04. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 29.04. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 05.05. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 06.05. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 12.05. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 19.05. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 20.05. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 26.05. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 27.05. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 02.06. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 09.06. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 10.06. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 16.06. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 17.06. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 23.06. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Thursday 24.06. 14:00 - 15:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Wednesday 30.06. 14:00 - 16:00 Besprechungsraum SSC Geo 2A180 1.OG UZA II

Information

Aims, contents and method of the course

We will discuss the theory of free surface water waves
covering basic aspects as well as some special topics such wave breaking,
motion beneath the surface, solitons, tsunamis.

Assessment and permitted materials

take-home exam.

Minimum requirements and assessment criteria

A basic understanding of free surface water waves.

Examination topics

An interplay of methods from various branches of
pure mathematics (e.g. topology, complex analysis, functional analysis,
harmonic analysis, ordinary differential equations/dynamical systems,
differential geometry, partial differential equations) and applied
mathematics (e.g. multiple scales, non-dimensionalisation) will be used.
We will strive to make the presentation relatively self-contained,
recalling the relevant methods whenever they are applied.

Reading list

In addition to lecture notes that will be regularly provided,
we recommand the following books
1. R. Johnson, A modern introduction to the mathematical theory of water
waves, Cambridge University Press, Cambridge, 1997.
2. P. Drazin and R. Johnson, Solitons: an introduction,
Cambridge University Press, Cambridge, 1989.
3. A. Majda and A. Bertozzi, Vorticity and incompressible flow,
Cambridge University Press, Cambridge, 2002

Association in the course directory

MANV

Last modified: Tu 02.07.2024 00:17