Model equation of surface waves of viscous fluid down an inclined plane

DOI10.1215/kjm/1250519194zbMath0855.35116OpenAlexW1542370041MaRDI QIDQ1323262

Htay Aung Win

Publication date: 3 February 1997

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519194

zbMATH Keywords

surface wavestravelling wave solutionHopf bifurcation from the zero solutionKorteweg-de Vries-Kuramoto-Sivashinsky equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (8)

Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation ⋮ Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow ⋮ Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation ⋮ Solitary waves of the perturbed KdV equation with nonlocal effects ⋮ Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation ⋮ Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit ⋮ Metastability of solitary roll wave solutions of the St. Venant equations with viscosity ⋮ Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit

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