Trapped-mode solutions for gravity-capillary water waves in channels of arbitrary cross-section

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1099-1476(19980525)21:8<701::AID-MMA967>3.0.CO;2-D" /><701::AID-MMA967>3.0.CO;2-D 10.1002/(SICI)1099-1476(19980525)21:8<701::AID-MMA967>3.0.CO;2-DzbMath0914.76010OpenAlexW2087193086MaRDI QIDQ4213536

Mark D. Groves

Publication date: 21 June 1999

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19980525)21:8<701::aid-mma967>3.0.co;2-d

zbMATH Keywords

eigenvalueelliptic boundary value probleminverse differential operatorlinearized water-wave problemsymmetric horizontal channelNeumann-Dirichlet operator

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

Related Items (1)

The effect of surface tension on localized free-surface oscillations about surface-piercing bodies

Cites Work

• On the Existence of Trapped Modes in Channels of Arbitrary Cross-section
• A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints
• Gravity-capillary waves with edge constraints
• Existence theorems for trapped modes

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