4 citations · 5 across the 3 of their papers we have counts for
5 papers · 1 filter
On analysis of the exponential map of volume-preserving diffeomorphism group on closed orientable surfaces through the vorticity
Siran Li
We study the exponential map of group of volume-preserving diffeomorphisms on closed orientable surfaces via the vorticity formulation of the incompressible Euler equation. We pres…
Towards a Theory of Multi-Parameter Geometrical Variational Problems: Fibre Bundles, Differential Forms and Riemannian Quasiconvexity
Siran Li
We are concerned with the relaxation and existence theories of a general class of geometrical minimisation problems, with action integrals defined via differential forms over fibre…
Counterexamples to the -Calderón--Zygmund Estimate on Open Manifolds
Siran Li
Based on a construction due to B. Güneysu and S. Pigola (\textit{Adv. Math.} \textbf{281} (2015), pp.353--393), for each and , we exhi…
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…
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…