An Eulerian-Lagrangian approach for incompressible fluids: Local theory

Constantin, Peter

doi:10.1090/S0894-0347-00-00364-7

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ISSN 1088-6834(online) ISSN 0894-0347(print)

An Eulerian-Lagrangian approach for incompressible fluids: Local theory

Author: Peter Constantin
Journal: J. Amer. Math. Soc. 14 (2001), 263-278
MSC (2000): Primary 76B03, 37K65, 35Q30, 35L65
Posted: December 21, 2000
MathSciNet review: 1815212
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Abstract:

We study a formulation of the incompressible Euler equations in terms of the inverse Lagrangian map. In this formulation the equations become a first order advective nonlinear system of partial differential equations.

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