Exact analytical solutions for elliptical vortices of the shallow-water equations
References
-
Ball
, F. K. 1963. Some general theorems concerning the finite motion of a shallow liquid lying on a paraboloid. J. Fluid Mech. 17, 240– 256. -
Ball
, F. K. 1965. The effect of rotation on the simpler modes of motion of a liquid in an elliptic paraboloid. J. Fluid Mech. 22, 529– 545. -
Cushman-Roisin
, B. 1984. An exact analytical solution for a time-dependent, elliptical warm-core ring with outcropping interface., 5– 6. -
Cushman-Roisin
, B., Heil, W. H.and Nof, D.. Oscillations and rotations of elliptical warm-core rings. J. Geophys. Res. 90, 11756– 11764. -
Deem
, G. S.and Zabusky, N. J. 1978. Stationary “V-states,” interactions, recurrence, and breaking. Phys. Rev. Len. 40, 859– 862. -
Goldsbrough
, G. R. 1930. The tidal oscillations in an elliptic basin of variable depth. Proc. R. Soc. A, 157– 167. -
Kirchhoff
, G. 1876. Vorlesungen iiber Mathematische Physik, vol . 1, Leipzig: Teubner. -
Lamb
, H. 1932. Hydrodynamics . Cambridge University Press. -
Thacker
, W. C. 1981. Some exact solutions to the nonlinear shallow-water wave equations. J. Fluid Mech. 107, 499– 508.
DOI: https://doi.org/10.3402/tellusa.v39i3.11756 | Journal eISSN: 3035-9554
Language: English
Page range: 235 - 244
Submitted on: Feb 6, 1986
Accepted on: Oct 3, 1986
Published on: Jan 1, 1987
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 1987 Benoit Cushman-Roisin, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.