| Abstract: |
| The study of propagation of geometric structures for incompressible flows plays a fundamental role in understanding well-posedness and regularity issues for the homogeneous Euler equations (e.g. in the investigation of the regularity persistence of vortex patches).
Some results in the last years allowed to extend the framework also to the case of (both viscous and inviscid) density-dependent incompressible fluids.
In the present talk, we show how propagation of tangential regularity, combined with a maximal regularity approach, can be used to establish a well-posedness result for viscous compressible flows with only bounded density, in any space dimesion.
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This talk is based on a joint work with \emph{Rapha\el Danchin} and \emph{Marius Paicu}. |
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