Vortex rigid motion in quasi-geostrophic shallow-water equations
DOI10.3233/asy-221817zbMath1529.35521arXiv2202.00404MaRDI QIDQ6048513
Publication date: 14 September 2023
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.00404
Hydrology, hydrography, oceanography (86A05) Periodic solutions to PDEs (35B10) Vortex flows for incompressible inviscid fluids (76B47) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Rossby waves (76U65)
Related Items
Cites Work
- Doubly connected V-states for the generalized surface quasi-geostrophic equations
- Degenerate bifurcation of the rotating patches
- Existence of corotating and counter-rotating vortex pairs for active scalar equations
- Relative equilibria with holes for the surface quasi-geostrophic equations
- Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings
- Motions of vortex patches
- Regularity in elliptic free boundary problems. I
- Elliptic partial differential equations of second order
- Uniformly rotating analytic global patch solutions for active scalars
- Imperfect bifurcation for the quasi-geostrophic shallow-water equations
- On the existence of stationary patches
- Steady asymmetric vortex pairs for Euler equations
- On the V-states for the generalized quasi-geostrophic equations
- Vortex patches choreography for active scalar equations
- Symmetry in stationary and uniformly rotating solutions of active scalar equations
- On rotating doubly connected vortices
- Boundary regularity of rotating vortex patches
- Bifurcation from simple eigenvalues
- Vorticity and Incompressible Flow
- Doubly Connected $V$-States for the Planar Euler Equations
- On a product of modified Bessel functions
- Atmospheric and Oceanic Fluid Dynamics
- On Turán type inequalities for modified Bessel functions
- Multipole Vortex Patch Equilibria for Active Scalar Equations
- Stability and evolution of two opposite-signed quasi-geostrophic shallow-water vortex patches
- Global Bifurcation of Rotating Vortex Patches
- Kármán vortex street in incompressible fluid models
- Vortex rigid motion in quasi-geostrophic shallow-water equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item