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- W2065797876 abstract "Weak solution of incompressible Euler equations are L2-vector fields, satisfying integral relations, which express the mass and momentum balance. They are believed to describe the turbulent fluid motion at high Reynolds numbers. We justify this conjecture by constructing a weak solution with decreasing kinetic energy. The construction is based on Generalized Flows, introduced by Y. Brenier. La solution faible des équations d'Euler incompressibles est un champ de vecteurs u(x, t) L2 satisfaisant les relations intégrales, qui expriment la conservation de la masse et de la quantité de mouvement. On suppose que ces solutions décrivent le mouvement turbulent d'un fluide pour des nombres de Reynolds assez élevés. Nous justifions cette conjecture en construisant une solution faible dont l'énergie cinétique décroît. La construction est fondée sur la notion d'Écoulement Généralisé, introduite par Y. Brenier." @default.
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- W2065797876 date "1998-02-01" @default.
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- W2065797876 title "Weak solution of incompressible Euler equations with decreasing energy" @default.
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- W2065797876 doi "https://doi.org/10.1016/s0764-4442(97)82989-8" @default.
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