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- W2022159300 abstract "In this article we get a result on propagation of geometric properties for solutions of the non-homogeneous incompressible Euler system in any dimension N ≥ 2. In particular, we investigate conservation of striated and conormal regularity, which generalize the 2-D structure of vortex patches. The results we get are only local in time, even for N = 2; however, we provide an explicit lower bound for the lifespan of the solution. In the case of physical dimension N = 2 or 3, we investigate also propagation of Hölder regularity in the interior of a bounded domain." @default.
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- W2022159300 date "2012-06-12" @default.
- W2022159300 modified "2023-10-14" @default.
- W2022159300 title "Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids" @default.
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- W2022159300 doi "https://doi.org/10.1080/03605302.2012.698343" @default.
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