Inviscid and inviscid-limit behavior of a surface quasigeostrophic flow
From MaRDI portal
Publication:5755656
DOI10.1063/1.869184zbMath1185.76841OpenAlexW2062466073MaRDI QIDQ5755656
Publication date: 15 August 2007
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.869184
Related Items
Global solutions to the two-dimensional quasi-geostrophic equation with critical or super-critical dissipation ⋮ Scalars convected by a two-dimensional incompressible flow ⋮ Number of degrees of freedom and energy spectrum of surface quasi-geostrophic turbulence ⋮ A scenario for finite-time singularity in the quasigeostrophic model ⋮ Nonlinear transfer and spectral distribution of energy in \(\alpha\) turbulence ⋮ Singularities in fully developed turbulence ⋮ Well-posedness of quasi-geostrophic equations with data in Besov-\(Q\) spaces ⋮ On the locally self-similar solution of the surface quasi-geostrophic equation with decaying or non-decaying profiles ⋮ Local and nonlocal dispersive turbulence ⋮ Velocity statistics for point vortices in the localα-models of turbulence ⋮ On the steady solutions of the inviscid two-dimensional quasi-geostrophic equation ⋮ Non existence and strong ill-posedness in \(C^k\) and Sobolev spaces for SQG ⋮ Local well-posedness for the quasi-geostrophic equations in Besov-Lorentz spaces ⋮ Fractional spectral vanishing viscosity method: application to the quasi-geostrophic equation ⋮ Deformation and symmetry in the inviscid SQG and the 3D Euler equations ⋮ Global regularity for several incompressible fluid models with partial dissipation ⋮ Finite time singularities for a class of generalized surface quasi-geostrophic equations ⋮ New numerical results for the surface quasi-geostrophic equation ⋮ Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem ⋮ Anomalous dissipation and spontaneous stochasticity in deterministic surface quasi-geostrophic flow ⋮ Growth of solutions for QG and 2D Euler equations ⋮ An Eulerian-Lagrangian approach for incompressible fluids: Local theory ⋮ Infinite energy solutions of the surface quasi-geostrophic equation ⋮ Large-scale dynamics in two-dimensional Euler and surface quasigeostrophic flows ⋮ Behavior of several two-dimensional fluid equations in singular scenarios ⋮ Nonsingular surface quasi-geostrophic flow ⋮ Scale-invariant singularity of the surface quasigeostrophic patch ⋮ On the well-posedness of the quasi-geostrophic equation in the Triebel-Lizorkin-Lorentz spaces ⋮ Absence of anomalous dissipation of energy in forced two dimensional fluid equations ⋮ Global Smooth Solutions for the Inviscid SQG Equation ⋮ Surface quasigeostrophic turbulence: The study of an active scalar ⋮ Velocity and scaling of collapsing Euler vortices ⋮ On the geometry of solutions of the quasi-geostrophic and Euler equations ⋮ On the search for singularities in incompressible flows. ⋮ Existence for the \(\alpha \)-patch model and the QG sharp front in Sobolev spaces ⋮ Long time dynamics of forced critical SQG ⋮ Diminishing inverse transfer and non-cascading dynamics in surface quasi-geostrophic turbulence ⋮ Finite time singularities in a 1D model of the quasi-geostrophic equation ⋮ Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations ⋮ On the Euler equations of incompressible fluids ⋮ Vanishing diffusion limits and long time behaviour of a class of forced active scalar equations ⋮ Blow up for the generalized surface quasi-geostrophic equation with supercritical dissipation ⋮ Invariant measures and global well posedness for the SQG equation ⋮ The vortex patch problem for the surface quasi-geostrophic equation ⋮ Almost sharp fronts for the surface quasi-geostrophic equation ⋮ The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation ⋮ Local well-posedness for the 2D non-dissipative quasi-geostrophic equation in Besov spaces ⋮ A new path to the non blow-up of incompressible flows ⋮ Statistical measures and selective decay principle for generalized Euler dynamics: formulation and application to the formation of strong fronts ⋮ Asymptotics and numerics of a family of two-dimensional generalized surface quasi-geostrophic equations ⋮ The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations ⋮ The Fefferman-Stein decomposition for the Constantin-Lax-Majda equation: Regularity criteria for inviscid fluid dynamics revisited ⋮ THE QUASI-GEOSTROPHIC EQUATION AND ITS TWO REGULARIZATIONS ⋮ High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows
Cites Work
- Tracing complex singularities with spectral methods
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Spectra of local and nonlocal two-dimensional turbulence
- Kolmogorov similarity in freely decaying turbulence
- Geometric Statistics in Turbulence
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Singular front formation in a model for quasigeostrophic flow
- Surface quasi-geostrophic dynamics
- Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
- On the Spectrum and Decay of Random Two‐Dimensional Vorticity Distributions at Large Reynolds Number
