Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems

Peter Constantin

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arXiv · 1408.0020

Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems

Peter Constantin

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Abstract

We present a Lagrangian-Eulerian strategy for proving uniqueness and local existence of solutions in path spaces of limited smoothness for a class of incompressible hydrodynamic models including Oldroyd-B type complex fluid models and zero magnetic resistivity magneto-hydrodynamics equations.

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Peter Constantin. 2014-07-31. Lagrangian-Eulerian Methods for Uniqueness in Hydrodynamic Systems. https://arxiv.org/abs/1408.0020

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