Nonsingular Surface-Quasi-Geostrophic Flow

Abstract

The dynamics of large eddies in the atmosphere and oceans is described by the surface quasi geostrophic equation, which is reminiscent of the Euler equations. Thermal fronts build up rapidly. Two different numerical methods combined with analytical criteria are used to show there are no singularities in finite time.

4 pages, 5 figures to be published in Physics Letters A

Cited by in corpus (11)

• Inviscid models generalizing the 2D Euler and the surface quasi-geostrophic equations
• Long time dynamics of forced critical SQG
• Absence of splash singularities for SQG sharp fronts and the Muskat problem
• Energy Spectrum of Quasi-Geostrophic Turbulence
• A self-similar cascade of instabilities in the surface quasigeostrophic system
• Collapse of generalized Euler and surface quasi-geostrophic point-vortices
• Absence of anomalous dissipation of energy in forced two dimensional fluid equations
• Universality of Probability Distributions Among Two-Dimensional Turbulent Flows
• Singularities in Fully Developed Turbulence
• Velocity statistics for point vortices in the local α-models of turbulence
• Statistical Measures and Selective Decay Principle for Generalized Euler Dynamics: Formulation and Application to the Formation of Strong Fronts