Dynamics near Couette flow for the \(\beta \)-plane equation
DOI10.1016/j.aim.2023.109261zbMath1529.35522arXiv2202.05708MaRDI QIDQ6049880
Luqi Wang, Zhifei Zhang, Hao Zhu
Publication date: 11 October 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.05708
Hydrology, hydrography, oceanography (86A05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability and instability of geophysical and astrophysical flows (76E20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Traveling wave solutions (35C07) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)
Cites Work
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- Small BGK waves and nonlinear Landau damping
- Inviscid dynamical structures near Couette flow
- Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
- Nonlinear stability for saddle solutions of ideal flows and symmetry breaking
- Some stability and instability criteria for ideal plane flows
- On the global stability of a beta-plane equation
- Inviscid damping near the Couette flow in a channel
- Linear inviscid damping for the \(\beta \)-plane equation
- Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method
- Nonlinear echoes and Landau damping with insufficient regularity
- Linear inviscid damping and vorticity depletion for shear flows
- Linear inviscid damping and enhanced dissipation for the Kolmogorov flow
- Linear inviscid damping in Gevrey spaces
- Ulteriori proprieta di alcune classi di funzioni in piu variabili
- Linear inviscid damping for monotone shear flows in a finite periodic channel, boundary effects, blow-up and critical Sobolev regularity
- Stationary structures near the Kolmogorov and Poiseuille flows in the 2d Euler equations
- Note on a paper of John W. Miles
- Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces
- Stability of propagating modons for small-amplitude perturbations
- Long Time Stability for Solutions of a β‐Plane Equation
- Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs
- Barotropic instability of shear flows
- Linear Inviscid Damping Near Monotone Shear Flows
- Linear inviscid damping for monotone shear flows
- On an apriori estimate in the theory of hydrodynamical stability
- Long‐Time Instability of the Couette Flow in Low Gevrey Spaces
- Traveling waves near Couette flow for the 2D Euler equation
- Nonlinear inviscid damping near monotonic shear flows
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