97 citations · 327 across the 42 of their papers we have counts for
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From compressible to incompressible inhomogeneous flows in the case of large data
Raphaël Danchin, Piotr Boguslaw Mucha
This paper is concerned with the mathematical derivation of the inhomoge-neous incompressible Navier-Stokes equations (INS) from the compressible Navier-Stokes equations (CNS) in t…
Finite-energy solutions for compressible two-fluid Stokes system
Didier Bresch, Piotr B. Mucha, Ewelina Zatorska
We prove existence of global in time weak solutions to a compressible two-fluid Stokes system with a single velocity field and algebraic closure for the pressure law. The constitut…
The incompressible navier-stokes equations in vacuum
Raphaël Danchin, Piotr Boguslaw Mucha
We are concerned with the existence and uniqueness issue for the inhomogeneous incompressible Navier-Stokes equations supplemented with H^1 initial velocity and only bounded nonneg…