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A Radon type transform related to the Euler equations for ideal fluid (Q6587421)

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scientific article; zbMATH DE number 7896802
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English
A Radon type transform related to the Euler equations for ideal fluid
scientific article; zbMATH DE number 7896802

    Statements

    A Radon type transform related to the Euler equations for ideal fluid (English)
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    14 August 2024
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    In the paper, the author studies the so-called Nadirashvili-Vladuts transform. Firstly he connects the kernel of the transform with the solution to the Euler equation. Secondly he proves that the so-called Nadirashvili-Vladuts potential satisfies some 4th-order PDE. He also describes the solutions to the equations.
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    Nadirashvili-Vladuts transform
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    Fourier transform
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    tensor tomography model
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    tangential tensor field component
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