193 citations · 748 across the 35 of their papers we have counts for
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math.AP2023★ 1 cited
The compressible Euler system with nonlocal pressure: Global existence and relaxation
Raphael Danchin, Piotr Boguslaw Mucha
We here investigate a modification of the compressible barotropic Euler system with friction, involving a fuzzy nonlocal pressure term in place of the conventional one. This nonloc…
math.AP2023
Exponential decay results for compressible viscous flows with vacuum
Raphaël Danchin, Shan Wang
We are concerned with the isentropic compressible Navier-Stokes system in the two-dimensional torus, with rough data and vacuum : the initial velocity is in the Sobolev space H^1 a…
math.AP2023★ 1 cited
Density-dependent incompressible Navier--Stokes equations in critical tent spaces
Raphaël Danchin, Ioann Vasilyev
In this article, we prove the existence of global solutions to the inhomogeneous incompressible Navier--Stokes equations, whenever the initial velocity belongs to a certain subspac…