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Generalized solutions for the Euler equations in one and two dimensions - MaRDI portal

Generalized solutions for the Euler equations in one and two dimensions (Q1006622)

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scientific article; zbMATH DE number 5532847
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Generalized solutions for the Euler equations in one and two dimensions
scientific article; zbMATH DE number 5532847

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    Generalized solutions for the Euler equations in one and two dimensions (English)
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    25 March 2009
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    The authors consider generalized solutions, in the Brenier's sense, of the incompressible Euler system in 1 and 2 dimensions. In dimension 1, they prove that, when the pressure is regular, the solution is unique. In dimension 2, they show that a large set of solutions may exist, and they construct new classical solutions for the system in a disc.
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    Euler equations
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    generalized solutions
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    optimal incompressible flow
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