Nonlinear modulational instabililty of the Stokes waves in 2D full water waves
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Publication:6116793
DOI10.1007/s00220-023-04747-0zbMath1522.76012arXiv2012.15071OpenAlexW4377232984MaRDI QIDQ6116793
Publication date: 16 August 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.15071
asymptotic modelcubic Schrödinger equationlocal well-posednessperiodic traveling wavelong-wave perturbationmodulational approximation
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) NLS equations (nonlinear Schrödinger equations) (35Q55) Hydrodynamic stability (76E99)
Related Items
Benjamin-Feir instability of Stokes waves in finite depth, Stokes waves at the critical depth are modulationally unstable
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