An Eulerian-Lagrangian approach for incompressible fluids: Local theory
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- by Peter Constantin
- J. Amer. Math. Soc. 14 (2001), 263-278
- DOI: https://doi.org/10.1090/S0894-0347-00-00364-7
- Published electronically: December 21, 2000
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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.References
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Bibliographic Information
- Peter Constantin
- Affiliation: Department of Mathematics, The University of Chicago, Chicago, Illinois 60637-1546
- Email: const@cs.uchicago.edu
- Received by editor(s): September 27, 1999
- Published electronically: December 21, 2000
- © Copyright 2000 American Mathematical Society
- Journal: J. Amer. Math. Soc. 14 (2001), 263-278
- MSC (2000): Primary 76B03, 37K65, 35Q30, 35L65
- DOI: https://doi.org/10.1090/S0894-0347-00-00364-7
- MathSciNet review: 1815212