Steady-state flows of ideal incompressible fluid with velocity pointwise orthogonal to the pressure gradient

DOI10.1007/s40598-023-00234-5zbMATH Open1548.76024MaRDI QIDQ6592303

Vladimir Sharafutdinov, Vladimir Yu. Rovenskij

Publication date: 26 August 2024

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Euler equationscompatibility conditiongeodesic vector fieldaxisymmetric Gavrilov flowisobaric hypersurface

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Foundations of fluid mechanics (76A02) Euler equations (35Q31)

Cites Work

• Unnamed Item
• Smooth approximations and exact solutions of the 3D steady axisymmetric Euler equations
• Integral geometry of Euler equations
• A steady Euler flow with compact support
• Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications
• Liouville theorem for Beltrami flow
• Quasi-periodic solutions to the incompressible Euler equations in dimensions two and higher
• Remarks on a Liouville-Type Theorem for Beltrami Flows
• Chaotic streamlines in the ABC flows

Related Items (1)

Two-dimensional Gavrilov flows

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