@article {doi:10.1080/03605302.2012.698343,
	title = {Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids},
	journal = {Communications in Partial Differential Equations},
	volume = {37},
	number = {9},
	year = {2012},
	pages = {1553-1595},
	publisher = {Taylor \& Francis},
	abstract = {<p>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 H{\"o}lder regularity in the interior of a bounded domain.</p>},
	doi = {10.1080/03605302.2012.698343},
	url = {https://doi.org/10.1080/03605302.2012.698343},
	author = {Francesco Fanelli}
}
