Internal waves linear equations wave-current Hamiltonian system KdV equation
Issue Date:
2016
Publisher:
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 26, No 1, (2016), 99p-112p
Abstract:
A fluid system consisting of two domains is examined. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. An internal wave propagating in one direction, driven by gravity, acts as a free common interface between the fluids. Various current profiles are considered. The Hamiltonian of the system is determined
and expressed in terms of canonical wave-related variables. Limiting behaviour is examined and compared to that of other known models. The linearised equations as well as long-wave approximations are formulated.
The presented models provide potential applications to modelling of internal geophysical waves. 2010 Mathematics Subject Classification: 35Q35, 37K05, 74J30.
