On the interaction of deep water waves and exponential shear currents

DOI10.1007/s00033-008-7050-1zbMath1173.76007OpenAlexW2106781721MaRDI QIDQ834543

Jie Cang, Jun Cheng, Shi-Jun Liao

Publication date: 27 August 2009

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-008-7050-1

zbMATH Keywords

nonlinear boundary value problemseries solutionshomotopy analysis methodDubreil-Jacotin transformStokes criterion

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (10)

Two water waves in subsurface interaction on a shear flow ⋮ Application of relative entropy theory to streamwise velocity profile in open-channel flow: effect of prior probability distributions ⋮ Semi-exact solution for thermo-mechanical analysis of functionally graded elastic-strain hardening rotating disks ⋮ Phase velocity effects of the wave interaction with exponentially sheared current ⋮ Nonlinear hydroelastic interaction among a floating elastic plate, water waves, and exponential shear currents ⋮ A general approach to get series solution of non-similarity boundary-layer flows ⋮ On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach ⋮ An explicit series approximation to the optimal exercise boundary of American put options ⋮ New analytical method for gas dynamics equation arising in shock fronts ⋮ Two-dimensional stability of finite-amplitude gravity waves on water of finite depth with constant vorticity

This page was built for publication: On the interaction of deep water waves and exponential shear currents