3 papers
math.AP2026
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…
math.AP2026
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. Fur…
math.AP2025
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…