INFLUENCE OF SURFACE TENSION AND BOTTOM TOPOGRAPHY ON INTERNAL WAVES

DOI10.1142/S0218202509004078zbMath1248.76030OpenAlexW4247017183MaRDI QIDQ3400123

Cung The Anh

Publication date: 5 February 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202509004078

zbMATH Keywords

consistencyasymptotic modelsurface tensionDirichlet-Neumann operatorinternal wavesinterface operatornonflat bottom

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Internal waves for incompressible inviscid fluids (76B55)

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Cites Work

• Asymptotic models for internal waves
• A Boussinesq system for two-way propagation of interfacial waves
• On the two-phase free boundary problem for two-dimensional water waves
• Equations for bi-directional waves over an uneven bottom
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Well-posedness of 3D vortex sheets with surface tension
• Large time existence for 3D water waves and asymptotics
• Long wave approximations for water waves
• Influence of bottom topography on long water waves
• Well-Posedness of Vortex Sheets with Surface Tension
• Well-posedness of the water-waves equations
• Weakly nonlinear internal waves in a two-fluid system
• Fully nonlinear internal waves in a two-fluid system
• LONG NONLINEAR INTERNAL WAVES
• Hamiltonian long‐wave expansions for free surfaces and interfaces

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