On the Question of Integrability in Hydrodynamics
نویسنده
چکیده
We show the existence of three infinite sets of independent, conserved charges in three dimensional inviscid fluid dynamics, with a density dependent potential term. Out of these, terms in two sets are in involution. The structures of the conserved currents in Clebsch variable representation are polynomial in nature. Relativistic generalization of the free system and the Batalin-Tyutin extension of the full theory is also discussed. The conservation laws survive in a modified form in both the cases. PACS Numbers: 47.10.+g, 03.40Gc, 11.15.-q
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تاریخ انتشار 2001