Nonlinear Waves Seminar

Seminar in Nonlinear Waves, November 1st, 2013                      

Speaker: Sergey Gavrilyuk, University Aix-Marseille, France

Title: Introduction to solid mechanics

Seminar in Nonlinear Waves, October 14th, 2011
Speaker: Denys Dutykh, University of Savoie, France

Title: Relaxed variational principle for water wave modeling

Seminar in Nonlinear Waves, March 10th, 2011
Speaker: Henrik Kalisch, University of Bergen

Title: Stability of solitary waves in the KdV equation, continued

Seminar in Nonlinear Waves, February 24th, 2011
Speaker: Henrik Kalisch, University of Bergen

Title: Stability of solitary waves in the KdV equation

Thursday, February 10th 2011
Speaker: Henrik Kalisch, University of Bergen

Title: Stability of a CO2-seawater interface

Friday, December 3rd 2010
Speaker: Tomas Torsvik, UniResearch

Title: Modeling of tsunami events from volcanic eruptions: A case study of the 1996 eruption at Karymskoye Lake, Kamchatka, Russia

Abstract:
Long wave equations are frequently used as basis for numerical modeling of tsunami events. Such events are most commonly triggered by earthquakes, but may also be triggerd by other sources such as eruptions of submarine volcanos or volcanos located near the coast (e.g. Krakatau 1883, Kharimkotan 1933, Rabaul 1937,1994). Tsunamis originating from volcanic eruptions can be distinguished from earthquake generated tsunamis by having a point source (as opposed to a line source for most earthquakes), and by a strong deformation of the water surface near the source.

The 1996 eruption at Karymskoye Lake, Kamchatka, Russia was a fairly minor event, confined to a lake with a diameter of approxiamtely 4 km and depth of up to 60 m, where the eruption process and subsequent tsunami events are well documented. This event has been used as a case study to examine the capabilities of modeling tools for the simulation of wave generation, propagation, and runup. In particular, the wave propagation part was simulated using the COULWAVE model, which is based on Boussinesq-type equations.

Friday, November 19th 2010
Speaker: Henrik Kalisch, University of Bergen

Title: Traveling waves for the Whitham equation

Abstract: The existence of traveling waves for the original Whitham equation is investigated. This equation combines a generic nonlinear quadratic term with the exact linear dispersion relation of surface water waves on finite depth. It is found that there exist small-amplitude periodic traveling waves with sub-critical speeds. As the period of these traveling
waves tends to infinity, their velocities approach the limiting long-wave speed. Numerical approximations of some periodic traveling waves are presented. It is found that there is a periodic wave of greatest height. Periodic traveling waves with increasing wavelengths appear to converge to a solitary wave.

Thursday, April 22nd, 2010

Speaker: Thomas Bridges, University of Surrey, UK.
 

Title:  Degenerate solitary waves and the generation of temporal homoclinic orbits