Global smoothness for a 1D supercritical transport model with nonlocal velocity

DOI10.1090/proc/14984zbMath1434.35094arXiv1809.04373OpenAlexW3004357466MaRDI QIDQ5111509

Lucas C. F. Ferreira, Valter V. C. Moitinho

Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04373

zbMATH Keywords

Hilbert transformglobal regularitynonlocal velocitysupercritical dissipation1D transport model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

Formation of singularities for multi-dimensional transport equations with nonlocal velocity ⋮ Global well-posedness, regularity and blow-up for the \(\beta\)-CCF model

Cites Work

• Nonlocal maximum principles for active scalars
• Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
• Well-posedness for a transport equation with nonlocal velocity
• A maximum principle applied to quasi-geostrophic equations
• Analytic structure of two 1D-transport equations with nonlocal fluxes
• Long time dynamics of forced critical SQG
• On the local and global existence of solutions to 1d transport equations with nonlocal velocity
• On a 1D transport equation with nonlocal velocity and supercritical dissipation
• Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation
• Formation of singularities for a transport equation with nonlocal velocity
• On a transport equation with nonlocal drift
• On the global regularity for the supercritical SQG equation
• Dissipative Quasi-Geostrophic Equation: Local Well-posedness, Global Regularity and Similarity Solutions
• Regularity and Blow up for Active Scalars
• Global existence of weak solutions to dissipative transport equations with nonlocal velocity
• Singular integrals and periodic functions

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