High-frequency instabilities of the Ostrovsky equation
DOI10.1007/s42286-021-00054-0OpenAlexW4205704418MaRDI QIDQ2143436
Ashish Kumar Pandey, Bhavna, Atul Kumar
Publication date: 31 May 2022
Published in: Water Waves (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.01794
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Periodic solutions to PDEs (35B10) Estimates of eigenvalues in context of PDEs (35P15) Inverse problems for PDEs (35R30) Bifurcations in context of PDEs (35B32) Rotation in hydrodynamic stability (76E07) Stability and instability of geophysical and astrophysical flows (76E20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Traveling wave solutions (35C07) Soliton solutions (35C08) Geophysical flows (76U60)
Cites Work
- Unnamed Item
- High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs
- Local and global well-posedness for the Ostrovsky equation
- The modulational instability for a generalized Korteweg-de Vries equation
- Well-posedness and weak rotation limit for the Ostrovsky equation
- On the existence of stationary solitary waves in a rotating fluid
- Stability of solitary waves and weak rotation limit for the Ostrovsky equation
- Modulational instability in nonlinear nonlocal equations of regularized long wave type
- Spectral stability of periodic waves in the generalized reduced Ostrovsky equation
- Stability and weak rotation limit of solitary waves of the Ostrovsky equation
- Periodic Traveling Waves of the Regularized Short Pulse and Ostrovsky Equations: Existence and Stability
- Stability of water waves
- Approximate Analytical and Numerical Solutions of the Stationary Ostrovsky Equation
- Modulational instability in a full‐dispersion shallow water model
- High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach
- Modulational Instability in the Whitham Equation for Water Waves
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