Construction of solutions of the critical SQG equation in bounded domains

DOI10.1016/j.aim.2019.05.034zbMath1421.35276OpenAlexW2947109817WikidataQ127761554 ScholiaQ127761554MaRDI QIDQ2001597

Mihaela Ignatova

Publication date: 10 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2019.05.034

zbMATH Keywords

global regularitybounded domainsnonlinear maximum principleSQG

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86)

Related Items (5)

On analyticity up to the boundary for critical quasi-geostrophic equation in the half space ⋮ Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc ⋮ On electroconvection in porous media ⋮ Estimates near the boundary for critical SQG ⋮ An application of spectral localization to the critical SQG on a ball

Cites Work

• New numerical results for the surface quasi-geostrophic equation
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• Analytic sharp fronts for the surface quasi-geostrophic equation
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• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
• Critical SQG in bounded domains
• A maximum principle applied to quasi-geostrophic equations
• Nonlinear maximum principles for dissipative linear nonlocal operators and applications
• Long time dynamics of forced critical SQG
• On the critical dissipative quasi-geostrophic equation
• Global Smooth Solutions for the Inviscid SQG Equation
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Inviscid Limit for SQG in Bounded Domains
• Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications
• Surface quasi-geostrophic dynamics
• Global Weak Solutions for SQG in Bounded Domains
• Evidence of singularities for a family of contour dynamics equations

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