A note on the uniqueness of small-amplitude water waves travelling in a region of varying depth

DOI10.1017/S0305004100056371zbMath0424.76013MaRDI QIDQ3859416

R. H. J. Grimshaw, Gary F. Fitz-Gerald

Publication date: 1979

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

conformal transformationvarying depthtwo-dimensional irrotationaluniqueness of small-amplitude water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Differential equations for long-period gravity waves on fluid of rapidly varying depth

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