Siran Li

activity

20182022

most citedThe Inviscid Limit of the Navier-Stokes Equations with Kinematic and Navier Boundary Conditions

4 citations · 5 across the 3 of their papers we have counts for

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math.DG2023

A wedge product theorem of compensated compactness theory with critical exponents on Riemannian manifolds

Xiaojin Bai, Siran Li, Xiangxiang Su

We formulate and prove compensated compactness theorems concerning the limiting behaviour of wedge products of weakly convergent differential forms on closed Riemannian manifolds à…

math.DG2020

Optimal regularity for the Pfaff system and isometric immersions in arbitrary dimensions

Siran Li

We prove the existence, uniqueness, and $W^{1, 2}$ -regularity for the solution to the Pfaff system with antisymmetric $L^{2}$ -coefficient matrix in arbitrary dimensions. Hence, we est…

math.DG2019★ 1 cited

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…

math.DG2018

A Remark on the Non-Compactness of $W^{2, d}$ Immersions of $d$ -Dimensional Hypersurfaces

Siran Li

We consider the continuous $W^{2, d}$ immersions of $d$ -dimensional hypersurfaces in $R^{d + 1}$ with second fundamental forms uniformly bounded in $L^{d}$ . Two results are obt…

A wedge product theorem of compensated compactness theory with critical exponents on Riemannian manifolds

Optimal regularity for the Pfaff system and isometric immersions in arbitrary dimensions

Cartan--Whitney Presentation, Non-smooth Analysis and Smoothability of Manifolds: On a theorem of Kondo--Tanaka

A Remark on the Non-Compactness of W2,d Immersions of d-Dimensional Hypersurfaces

A Remark on the Non-Compactness of $W^{2, d}$ Immersions of $d$ -Dimensional Hypersurfaces