Abstract
In this paper we obtain new well-posedness results concerning a linear inhomogeneous Stokes-like system. These results are used to establish local well-posedness in the critical spaces for initial density and velocity such that , , for the inhomogeneous incompressible Navier–Stokes system with variable viscosity. To the best of our knowledge, regarding the 3-dimensional case, this is the first result in a truly critical framework for which one does not assume any smallness condition on the density.
Citation
Cosmin Burtea. "Optimal well-posedness for the inhomogeneous incompressible Navier–Stokes system with general viscosity." Anal. PDE 10 (2) 439 - 479, 2017. https://doi.org/10.2140/apde.2017.10.439
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