University of Cambridge > > Fluid Mechanics (DAMTP) > Dispersive Shock Waves

Dispersive Shock Waves

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Nigel Peake.

Dispersive shock waves (DSW’s) are described by a slowly varying one-phase periodic wave train that connects solitons at one edge to linear dispersive waves at the other. DSW ’s are associated with equations which are ‘regularized’ by a small dispersive term. This is different from viscous shock waves (VSW’s) which are characterized by rapid localized changes in the underlying physical quantities. Equations with VSW ’s are regularized by a small viscous term. Recent laboratory experiments in Bose-Einstein condensates and nonlinear optics have demonstrated both single phase DSW and complex-interacting multiphase behavior. Numerical and analytical results explain many of the observed phenomena. If time permits, a reformulation of the water wave equations in terms of a novel nonlocal system will be discussed. Special cases include shallow and deep water asymptotic reductions. Localized waves including two dimensional water wave lumps to the nonlinear water wave equations with sufficient surface tension are numerically obtained.

This talk is part of the Fluid Mechanics (DAMTP) series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity