Geodesic
Le equazioni di Eulero dal punto di vista delle inclusioni differenziali
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 3, pp. 873-879.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In a recent joint paper with L. Székelyhidi we have proposed a new point of view on weak solutions of the Euler equations, describing the motion of an ideal incompressible fluid in $\mathbb{R}^n$ with $n \geq 2$. We give a reformulation of the Euler equations as a differential inclusion, and in this way we obtain transparent proofs of several celebrated results of V. Scheffer and A. Shnirelman concerning the non-uniqueness of weak solutions and the existence of energy-decreasing solutions. Our results are stronger because they work in any dimension and yield bounded velocity and pressure. 
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De Lellis, Camillo. Le equazioni di Eulero dal punto di vista delle inclusioni differenziali. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 3, pp. 873-879. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_3_a16/

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