Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation

DOI10.1016/j.jde.2022.11.035OpenAlexW4310370364MaRDI QIDQ2111232

Yanyan Li

Publication date: 28 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.035

zbMATH Keywords

rough kernelsingular integralapproximationsurface quasi-geostrophic equation (SQG)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (1)

Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation

Cites Work

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• Finite time singularity for the modified SQG patch equation
• An extension of Calderón-Zygmund type singular integral
• Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
• Remarks on well-posedness of the generalized surface quasi-geostrophic equation
• Spectra of local and nonlocal two-dimensional turbulence
• Nonlinear maximum principles for dissipative linear nonlocal operators and applications
• An extension of Calderón-Zygmund type singular integral with non-smooth kernel
• On the local existence and blow-up for generalized SQG patches
• Long time dynamics of forced critical SQG
• Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• Variation on a theme of Caffarelli and Vasseur
• Global well-posedness of slightly supercritical active scalar equations
• Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces
• On the existence of certain singular integrals
• Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global regularity for a modified critical dissipative quasi-geostrophic equation
• Commutator estimates and the euler and navier-stokes equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Growth of solutions for QG and 2D Euler equations
• Local Regularity for the Modified SQG Patch Equation

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