01031nas a2200133   4500008004100000245009200041210006900133260002100202300001400223490000700237520058100244100002300825856004900848       2012                        eng d00aConservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids0 aConservation of Geometric Structures for NonHomogeneous Inviscid  bTaylor & Francis  a1553-15950 v373 a<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 Hölder regularity in the interior of a bounded domain.</p>1 aFanelli, Francesco  uhttps://doi.org/10.1080/03605302.2012.698343