The general problem of long waves on a rotating earth

Chambers, LL. G.

doi:10.1090/qam/99798

Author: LL. G. Chambers
Journal: Quart. Appl. Math. 28 (1970), 167-179
DOI: https://doi.org/10.1090/qam/99798
MathSciNet review: QAM99798
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Abstract | References | Additional Information

Abstract: A method is given which makes it possible to calculate the surface elevation associated with long waves on a rotating earth when fluid is created or passes over geometrical boundaries.

J. Proudman, Dynamical oceanography, Methuen, London, 1953, p. 220.

Ll. G. Chambers, On long waves on a rotating earth, J. Fluid Mech. 22 (1965), 209–216. MR 181176, DOI https://doi.org/10.1017/S002211206500068X
L. Aĭnola, The variation principle for the Schrödinger equation, Eesti NSV Tead. Akad. Toimetised Füüs.-Mat. 16 (1967), 139–142 (Russian, with Estonian and English summaries). MR 0218769
Wilhelm Magnus and Fritz Oberhettinger, Formeln und Sätze für die speziellen Funktionen der mathematischen Physik, Springer-Verlag, Berlin, 1948 (German). 2d ed. MR 0025629
Ll. G. Chambers, Derivations of solutions of the Klein-Gordon equation from solutions of the wave equation, Proc. Edinburgh Math. Soc. (2) 15 (1966/67), 125–129. MR 223764, DOI https://doi.org/10.1017/S0013091500011445
J. Irving and N. Mullineux, Mathematics in physics and engineering, Pure and Applied Physics, Vol. 6, Academic Press, New York-London, 1959. MR 0103145

Bateman Manuscript Project, Tables of Integral Transforms, I, McGraw-Hill, New York, 1954, p. 253