A scenario for finite-time singularity in the quasigeostrophic model

DOI10.1017/jfm.2011.377zbMath1241.76227OpenAlexW2172029959MaRDI QIDQ2893740

Richard K. Scott

Publication date: 26 June 2012

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d2fd98f1ced858c264120532b3860474a6169085

zbMATH Keywords

instabilitygeophysical and geological flows

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (19)

The point vortex model for the Euler equation ⋮ Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations ⋮ On the locally self-similar solution of the surface quasi-geostrophic equation with decaying or non-decaying profiles ⋮ The interaction of two co-rotating quasi-geostrophic vortices in the vicinity of a surface buoyancy filament ⋮ Velocity statistics for point vortices in the localα-models of turbulence ⋮ Stability of filaments of uniform quasi-geostrophic potential vorticity ⋮ Maximum palinstrophy growth in 2D incompressible flows ⋮ Uniformly rotating analytic global patch solutions for active scalars ⋮ Non existence and strong ill-posedness in \(C^k\) and Sobolev spaces for SQG ⋮ On evolution of corner-like gSQG patches ⋮ Global solutions for the generalized SQG patch equation ⋮ Scale-invariant singularity of the surface quasigeostrophic patch ⋮ Remarks on geometric properties of SQG sharp fronts and \(\alpha\)-patches ⋮ Global Smooth Solutions for the Inviscid SQG Equation ⋮ Invariant measures and global well posedness for the SQG equation ⋮ On the local existence and blow-up for generalized SQG patches ⋮ Computer-assisted proofs in PDE: a survey ⋮ Statistical measures and selective decay principle for generalized Euler dynamics: formulation and application to the formation of strong fronts ⋮ Uniqueness for SQG patch solutions

Cites Work

• On the simulation of nearly inviscid two-dimensional turbulence
• Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
• Spectra of local and nonlocal two-dimensional turbulence
• Nonlinear inviscid incompressible dynamics
• Nonsingular surface quasi-geostrophic flow
• The stability of a two-dimensional vorticity filament under uniform strain
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Surface quasi-geostrophic dynamics
• Evidence of singularities for a family of contour dynamics equations
• Inviscid and inviscid-limit behavior of a surface quasigeostrophic flow

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