Graduate School in Nonlinear Science
MIDIT OFD CATS
Modelling, Nonlinear Dynamics Optics and Fluid Dynamics Chaos and Turbulence Studies
and Irreversible Thermodynamics Risø National Laboratory Niels Bohr Institute and
Technical University of Denmark Building 128 Department of Chemistry
Building 321 P.O. Box 49 University of Copenhagen
DK-2800 Lyngby DK-4000 Roskilde DK-2100 Copenhagen Ø
Denmark Denmark Denmark
NONLINEAR WAVE PROPAGATION IN DEFORMED CHANNELS: TWO EXAMPLES
by J G Caputo
Laboratoire de Mathematiques, INSA de Rouen,
B.P. 8, 76131 Mont-Saint-Aignan cedex, France.
E-mail: caputo@insa-rouen.fr
Laboratoire de Physique theorique et modelisation,
Universite de Cergy-Pontoise and C.N.R.S.
MIDIT-seminar 510
Wednesday, August 21, 2002, 14.00 h
at IMM, Bldg. 305, Room 053, DTU
Abstract:
Nonlinear waves in bounded domains are complicated to study
because of the boundary conditions and the nonlinearity. For a
wave-guide, a variation of the cross-section can strongly influence
the propagation of nonlinear waves. We will illustrate this
in two examples, the propagation of flux quanta in a tapered
Josephson junction used as a high frequency oscillator and the
motion of a hydraulic jump (tidal bore) in a channel of variable
depth or width.