Transverse instability of concentric water waves
From MaRDI portal
Publication:6566141
DOI10.1007/s00332-024-10043-5zbMath1542.7603MaRDI QIDQ6566141
Publication date: 3 July 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
nonlinear Schrödinger equationself-similar solutionsurface tensionshallow waterdeep waterWeber numberazimuthal perturbation
PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability on time-dependent domains
- A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
- Stability on time-dependent domains: convective and dilution effects
- On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation
- Problems on time-varying domains: formulation, dynamics, and challenges
- On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation
- On the evolution of packets of water waves
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Transverse instabilities of deep-water solitary waves
- Cylindrical and spherical Korteweg–deVries solitary waves
- Water waves and Korteweg–de Vries equations
- Soliton Interactions in Two Dimensions
- Nonlinear waves traveling upon a front of solitons
- On two-dimensional packets of capillary-gravity waves
- An axisymmetric Boussinesq wave
- On the second Painlevé transcendent
- A Modern Introduction to the Mathematical Theory of Water Waves
- Nonlinear Waves, Solitons and Chaos
- Stability of a growing cylindrical blob
- Solitons in Two-Dimensional Shallow Water
- Initial conditions for the cylindrical Korteweg‐de Vries equation
- The solitary wave with surface tension
- The solitary wave with surface tension
- A note on an asymptotic solution of the cylindrical Korteweg-de Vries equation.
- Solitons and lumps in the cylindrical Kadomtsev-Petviashvili equation. I: Axisymmetric solitons and their stability
This page was built for publication: Transverse instability of concentric water waves