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MR1658919 (2000c:58020) 58E10 (37K65 49Q20 58D05 76B03 76M30)
Brenier, Yann Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations. Comm. Pure Appl. Math. 52 (1999), no. 4, 411–452.
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