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math.AP2021
Stability of the density patches problem with vacuum for incompressible inhomogeneous viscous flows
Raphaël Danchin, Piotr B. Mucha, Tomasz Piasecki
We consider the inhomogeneous incompressible Navier-Stokes system in a smooth two or three dimensional bounded domain, in the case where the initial density is only bounded. Existe…
math.AP2021
Partially dissipative hyperbolic systems in the critical regularity setting : The multi-dimensional case
Timothée Crin-Barat, Raphaël Danchin
We are concerned with quasilinear symmetrizable partially dissipative hyperbolic systems in the whole space with . Following our recent work [10] dedicated t…