Axisymmetric solutions to the 3D Euler equations

DOI10.1016/j.na.2006.02.034zbMath1119.35041OpenAlexW2027147433MaRDI QIDQ876901

Gang Shen, Xiang Rong Zhu

Publication date: 19 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.034

zbMATH Keywords

Cauchy problemEuler equationsglobal existenceswirl velocity

Mathematics Subject Classification ID

Euler-Poisson-Darboux equations (35Q05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

Global existence of weak solutions to the incompressible axisymmetric Euler equations without swirl

Cites Work

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• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• The motion of the particles of a two-dimensional ideal incompressible fluid
• Remarks on the appearance of singularities in incompressible Euler flows with Hölder initial data
• Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid
• Holomorphic structures with weak spatial regularity in fluid mechanics
• On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations
• Vorticity and Incompressible Flow
• Vorticity and the mathematical theory of incompressible fluid flow
• Remarks on axisymmetric solutions of the incompressible euler system
• Axisymmetric weak solutions of the 3-D Euler equations for incompressible fluid flows

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