In this paper, we revisit asymptotic stability for the two-dimensional incompressible porous
media equation and the Stokes transport system in a periodic channel. It is well-known that a …

The coupling between the transport equation for the density and the Stokes equation is
considered in a periodic channel. More precisely, the density is advected by pure transport …

In this paper, we establish the global-in-time well-posedness for an arbitrary C 1, γ, 0< γ< 1,
initial internal periodic wave for the free boundary gravity Stokes system in two dimensions …

We study the Stokes-transport system in a two-dimensional channel with horizontally moving
boundaries, which serves as a reduced model for oceanography and sedimentation. The …

Abstract We consider the Vlasov–Poisson system both in the repulsive (electrostatic
potential) and in the attractive (gravitational potential) cases. Our first main theorem yields …

We consider the sedimentation of $ N $ spherical particles with identical radii $ R $ in a
Stokes flow in $\mathbb R^ 3$. The particles satisfy a no-slip boundary condition and are …

We prove global regularity and study the infinite Prandtl number limit of temperature patches
for the 2D non-diffusive Boussinesq system with dissipation in the full subcritical regime. The …

The Stokes-transport equation models an incompressible, viscous and inhomogeneous
fluid, subject to gravity. It is a reduced model for oceanography and sedimentation. The …

We study the stability problem of steady solutions to the semi-stationary Boussinesq
equations in the strip domain R 2×(0, 1)⁠. For an equilibrium state with any general steady …

In this article, we study a non-Newtonian Stokes-Transport system. This set of PDEs was
introduced as a model for describing the behavior of a cloud of particles in suspension in a …