Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole
From MaRDI portal
Publication:2113877
DOI10.1016/j.nonrwa.2021.103470zbMath1482.35162arXiv2108.01811OpenAlexW3189399604MaRDI QIDQ2113877
Publication date: 14 March 2022
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.01811
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)
Related Items (6)
On evolution of corner-like gSQG patches ⋮ Axi-symmetric solutions for active vector models generalizing 3D Euler and electron-MHD equations ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Stability and instability of Kelvin waves ⋮ Stability of monotone, nonnegative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches ⋮ Global solutions for the generalized SQG equation and rearrangements
Cites Work
- Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow
- Finite time singularity for the modified SQG patch equation
- Exponential growth of the vorticity gradient for the Euler equation on the torus
- One case of vortex motion in fluid. (Translated from the Russian 1903 original) With an appendix by V. V. Meleshko and G. J. F. van Heijst
- Infinite superlinear growth of the gradient for the two-dimensional Euler equation
- Wandering solutions of Euler's D-2 equation
- Special issue editorial: Small scales and singularity formation in fluid dynamics
- Small-scale creation for solutions of the SQG equation
- On the local existence and blow-up for generalized SQG patches
- Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation
- Small scale creation in active scalars
- Growth of perimeter for vortex patches in a bulk
- From point vortices to vortex patches in self-similar expanding configurations
- On the estimate of distance traveled by a particle in a disk-like vortex patch
- On vorticity gradient growth for the axisymmetric 3D Euler equations without swirl
- The centrally symmetric \(V\)-states for active scalar equations. two-dimensional Euler with cut-off
- On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid
- Vorticity and Incompressible Flow
- Generalized surface quasi-geostrophic equations with singular velocities
- A Simple Energy Pump for the Surface Quasi-geostrophic Equation
- On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid
- Dynamics of a nonlinear dipole vortex
- Experimental evidence for a new instability of a vertical columnar vortex pair in a strongly stratified fluid
- Viscous evolution of 2D dipolar vortices
- Singular front formation in a model for quasigeostrophic flow
- On singular vortex patches, II: Long-time dynamics
- Local Regularity for the Modified SQG Patch Equation
- Double exponential growth of the vorticity gradient for the two-dimensional Euler equation
- Global regularity and fast small-scale formation for Euler patch equation in a smooth domain
- Formation and temporal evolution of the Lamb-dipole
- Unnamed Item
- Unnamed Item
This page was built for publication: Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole
