抄録 This article discusses the Stokes equation in various classes of domains Ω CR n within
the L p-setting for 1≤ p≤∞ from the point of view of evolution equations. Classical as well …

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 …

In an effort to study the stability of contact lines in fluids, we consider the dynamics of an
incompressible viscous Stokes fluid evolving in a two-dimensional open-top vessel under …

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 …

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 …

Based on the global a priori estimates in [Guo-Tice, J. Eur. Math. Soc.(2024)], we establish
the well-posedness of a viscous fluid model satisfying the dynamic law for the contact …