We review the modeling and mathematical properties of compressible viscous flows,
ranging from single‐phase systems to two‐phase systems, with a focus on the occurrence of …

In this paper, we prove the local in time well-posedness of thick spray equations in Sobolev
spaces, for initial data satisfying a Penrose-type stability condition. This system is a coupling …

We consider the system governing the evolution of pressureless viscous gases in dimension
two in the case where the initial density is just bounded and bounded away from zero …

In this paper, we prove the local well-posedness for the Navier-Stokes equations describing
the motion of isotropic barotoropic compressible viscous fluid flow with non-slip boundary …

We are concerned with the isentropic compressible Navier–Stokes system in the two-
dimensional torus, with rough data and vacuum; the initial velocity belongs to the Sobolev …

We investigate the Navier-Stokes-Cattaneo-Christov (NSC) system in $\mathbb {R}^ d $($
d\geq3 $), a model of heat-conductive compressible flows serving as a finite speed of …

We prove the $ L_1 $ in time and $ B^{s+ 1} _ {q, 1}\times B^ s_ {q, 1} $ in space maximal
regularity for the Stokes equations in the viscous compressible fluid flows in domains in the …

We study random compressible viscous magnetohydrodynamic flows. Combining the Monte
Carlo method with a deterministic finite volume method we solve the random system …

In this paper, we consider the compressible Stokes equations with non-slip boundary
conditions in the half space $\mathbb {R}^ N_ {+} $, which is a linearized system of the …

Let Ω be a smooth connected and bounded open set of R 3. We consider the Vlasov-Navier-
Stokes system in Ω× R3∂ tu+(u·∇) u−∆ u+∇ p= jf− ρf u,(t, x)∈ R∗+× Ω,(2.1. 1) div u= 0,(t …