Uniqueness below a cut-off frequency for the two-dimensional linear water-wave problem

DOI10.1098/rspa.1999.0367zbMath0956.76013OpenAlexW2127312941MaRDI QIDQ4260227

M. McIver

Publication date: 12 March 2001

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/Uniqueness_below_a_cut-off_frequency_for_the_two-dimensional_linear_water-wave_problem/9378413

zbMATH Keywords

uniquenesshomogeneous boundary value problemtrapped modescattering of linear wavesartificial cut-off frequencyexistence of nodal linetwo-dimensional velocity potential

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (1)

Trapped modes in topographically varying elastic waveguides

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