7 citations · 13 across the 4 of their papers we have counts for
5 papers
Dynamics of contact points in 2D Boussinesq flow
Yunrui Zheng
We consider the evolution of contact lines for thermal convection of viscous fluids in a 2D open-top vessel. The domain is bounded above by a free moving boundary and otherwise by…
Global Well-Posedness of Contact Lines: 2D Navier-Stokes Flow
Yan Guo, Ian Tice, Lei Wu +2
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…
Global weak solution of 3-D focusing energy-critical nonlinear Schrödinger equation
Xing Cheng, Chang-Yu Guo, Yunrui Zheng
In this article, we prove the existence of global weak solutions to the three-dimensional focusing energy-critical nonlinear Schrödinger (NLS) equation in the non-radial case. Furt…
Local well-posedness of the contact line problem in 2-D Stokes flow
Yunrui Zheng, Ian Tice
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…
Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary
Chao Wang, Zhifei Zhang, Weiren Zhao +1
In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which the velocity is a Li…