28 citations · 97 across the 35 of their papers we have counts for
6 papers · 2 filters
The Inviscid Limit of the Navier-Stokes Equations with Kinematic and Navier Boundary Conditions
Gui-Qiang G. Chen, Siran Li, Zhongmin Qian
We are concerned with the inviscid limit of the Navier-Stokes equations on bounded regular domains in with the kinematic and Navier boundary conditions. We first est…
From the Nash--Kuiper Theorem of Isometric Embeddings to the Euler Equations for Steady Fluid Motions: Analogues, Examples, and Extensions
Siran Li, Marshall Slemrod
Direct linkages between regular or irregular isometric embeddings of surfaces and steady compressible or incompressible fluid dynamics are investigated in this paper. For a surface…
Geometric Regularity Criteria for Incompressible Navier--Stokes Equations with Navier Boundary Conditions
Siran Li
We study the regularity criteria for weak solutions to the incompressible Navier--Stokes equations in terms of the geometry of vortex structures, taking into account the bound…
On the Existence of Isometric Immersions of Several Classes of Negatively Curved Surfaces Into
Siran Li
We prove the existence of isometric immersions of several classes of metrics on surfaces into the three-dimensional Euclidean space , wher…
On Vortex Alignment and Boundedness of Norm of Vorticity
Siran Li
We show that the spatial () norm of the vorticity of an incompressible viscous fluid in or remains bounded uniformly in time, provided…
Regularity of Desingularised Models for Vortex Filaments in Incompressible Viscous Flows: A Geometrical Approach
Siran Li
We establish the regularity of weak solutions for the vorticity equation associated to a family of desingularised models for vortex filament dynamics in 3D incompressible viscous f…