Long wave approximation using conformal mapping for large-amplitude internal waves in a two-fluid system

DOI10.1016/j.apnum.2018.04.002zbMath1478.76018OpenAlexW2797022062MaRDI QIDQ2000095

Sunao Murashige

Publication date: 27 June 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.04.002

zbMATH Keywords

nonlinear wavesconformal mappinginternal gravity waveslong wave approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Internal waves for incompressible inviscid fluids (76B55) Soliton equations (35Q51) Stratification effects in inviscid fluids (76B70)

Cites Work

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• Solitary waves and conjugate flows in a three-layer fluid.
• On the existence of periodic waves near critical speed
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• Finite-amplitude solitary waves at the interface between two homogeneous fluids
• Integral properties of periodic gravity waves of finite amplitude
• Properties of large-amplitude internal waves
• A method for computing unsteady fully nonlinear interfacial waves
• Fully nonlinear internal waves in a two-fluid system
• Internal waves of finite amplitude and permanent form
• Characteristics of internal solitary waves
• The existence of solitary waves

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