4 citations · 5 across the 3 of their papers we have counts for
9 papers
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…
Optimal regularity for the Pfaff system and isometric immersions in arbitrary dimensions
Siran Li
We prove the existence, uniqueness, and -regularity for the solution to the Pfaff system with antisymmetric -coefficient matrix in arbitrary dimensions. Hence, we est…
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…
Cartan--Whitney Presentation, Non-smooth Analysis and Smoothability of Manifolds: On a theorem of Kondo--Tanaka
Siran Li
Using tools and results from geometric measure theory, we give a simple new proof of the main result (Theorem 1.3) in K. Kondo and M. Tanaka, Approximation of Lipschitz Maps via Im…
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…