We study the dynamics of the interface given by two incompressible viscous fluids in the
Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravity …

We study the beach problem for water waves. The case we consider is a compact fluid
domain, where the free surface intersects the bottom along an edge, with a non-zero contact …

This paper is concerned with the instability and stability of the trivial steady states of the
incompressible Navier–Stokes equations with Navier-slip boundary conditions in a slab …

The goal of this paper is to prove the well-posedness of F. John's floating body problem in
the case of a fixed object and for unsteady waves, in horizontal dimension $ d= 1$ and with …

We consider a free boundary problem of the Navier–Stokes equations in the three-
dimensional Euclidean space with moving contact line, where the 90∘-contact angle …

We consider the evolution of contact lines for viscous fluids in a two-dimensional open-top
vessel. The domain is bounded above by a free moving boundary and otherwise by the solid …

In this paper we establish the global-in-time well-posedness for an arbitrary $
C^{1+\gamma} $, $0<\gamma< 1$, initial internal wave for the free boundary gravity Stokes …

We consider the incompressible and stationary Stokes equations on an infinite two-
dimensional wedge with non-scaling invariant Navier-slip boundary conditions. We prove …

We consider the two-dimensional capillary-gravity water waves problem where the free
surface Γ t intersects the bottom Γ b at two contact points. In our previous works (Ming and …

Based on the a priori estimates in our previous work, we continue to investigate the water‐
waves problem in a bounded two‐dimensional corner domain in this paper. We prove the …