Preservation of log-Hölder coefficients of the vorticity in the transport equation

DOI10.1016/j.jde.2022.11.017OpenAlexW4309568217MaRDI QIDQ2101078

In-Jee Jeong, Donghao Chae

Publication date: 28 November 2022

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

Full work available at URL: https://arxiv.org/abs/2104.11484

zbMATH Keywords

vorticitymodulus of continuitytransport equationincompressible Euler equations

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (1)

Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids

Cites Work

• Exponential growth of the vorticity gradient for the Euler equation on the torus
• Small scale creation for solutions of the incompressible two-dimensional Euler equation
• Elliptic partial differential equations of second order
• Ill-posedness for the incompressible Euler equations in critical Sobolev spaces
• Vorticity and Incompressible Flow
• Symmetries and Critical Phenomena in Fluids

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