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An Eulerian-Lagrangian approach for incompressible fluids: Local theory
Author(s):
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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Additional Information:
Peter
Constantin
Affiliation:
Department of Mathematics, The University of Chicago, Chicago, Illinois 60637-1546
Email:
const@cs.uchicago.edu
DOI:
10.1090/S0894-0347-00-00364-7
PII:
S 0894-0347(00)00364-7
Keywords:
Euler equations,
blow up
Received by editor(s):
September 27, 1999
Posted:
December 21, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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