A Radon type transform related to the Euler equations for ideal fluid

DOI10.33048/semi.2023.020.054MaRDI QIDQ6587421

Vladimir Sharafutdinov

Publication date: 14 August 2024

Published in: Sibirskie Elektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Fourier transformNadirashvili-Vladuts transformtangential tensor field componenttensor tomography model

Mathematics Subject Classification ID

Radon transform (44A12) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

• Orthogonality relations for a stationary flow of an ideal fluid
• Integral geometry of Euler equations
• A steady Euler flow with compact support
• Integral geometry for tensor fields. Transl. from the Russian
• Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications
• Ray transform on Sobolev spaces of symmetric tensor fields. I: Higher order Reshetnyak formulas
• The John equation for tensor tomography in three-dimensions

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