Hölder regularity in time of solutions to the generalized surface quasi-geostrophic equation

DOI10.1016/j.aml.2022.108480zbMath1504.35107OpenAlexW4307000150MaRDI QIDQ2106117

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108480

zbMATH Keywords

energy conservation Hölder regularity quasi-geostrophic equation Onsager-subcritical spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35)

Cites Work

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On nonperiodic Euler flows with Hölder regularity
On the regularity of a class of generalized quasi-geostrophic equations
Global well-posedness for a modified critical dissipative quasi-geostrophic equation
Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
Boundedness on inhomogeneous Lipschitz spaces of fractional integrals singular integrals and hypersingular integrals associated to non-doubling measures
Onsager's conjecture on the energy conservation for solutions of Euler's equation
Remarks on well-posedness of the generalized surface quasi-geostrophic equation
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations
Long-time asymptotic behavior of the generalized two-dimensional quasi-geostrophic equation
Generalized surface quasi-geostrophic equations with singular velocities
On the ill/well-posedness and nonlinear instability of the magneto-geostrophic equations
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
Dimension of the singular set of wild Hölder solutions of the incompressible Euler equations
On the Helicity conservation for the incompressible Euler equations
Regularity results for rough solutions of the incompressible Euler equations via interpolation methods
Regularity in Time of Hölder Solutions of Euler and Hypodissipative Navier--Stokes Equations
On preservation of Lipschitz spaces under singular integral operators
Singular integrals and periodic functions

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