Open AccessON INTERNAL GRAVITY WAVES
Author(s) -
Tien-Yu Sun,
Kai–Hui Chen
Publication year - 1998
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.29.1998.4254
Subject(s) - mathematics , internal wave , bounded function , constant (computer programming) , boundary (topology) , mathematical analysis , gravity wave , free surface , gravitational wave , constructive , perfect fluid , constructive proof , classical mechanics , physics , mechanics , mathematical physics , combinatorics , computer science , process (computing) , astrophysics , programming language , operating system
We are concerned with the steady wave motions in a 2-fluid system with constant densities. This is a free boundary problem in which the lighter fluid is bounded above by a free surface and is separated from the heavier one down below by an interface. By using a contractive mapping principle type argument. a constructive proof to the existence of some of these exact periodic internal gravity waves is proveded.