4 papers · 1 filter
A brief introduction to the regularity theory of minimising harmonic maps
Siran Li
We introduce various classical, foundational results on the regularity theory of harmonic maps, with focuses on the energy minimising harmonic maps. Topics include inner and outer…
Existence of semiglobal -isometric immersions for negatively curved surface metrics with unbounded second fundamental form
Siran Li
This paper is concerned with the existence theory of isometric immersions of surfaces with negative Gaussian curvature into the three-dimensional Euclidean space. We reformulate th…
On well-posedness theory of very weak solutions to Navier-Stokes equations on irregular domains with nonhomogeneous Dirichlet boundary data
Xiaojin Bai, Siran Li, Xiangxiang Su
The well-posedness theory of very weak solutions is a central topic in mathematical hydrodynamics, especially in the regularity theory for Navier-Stokes equations. It has been full…
A compensated compactness theorem for pseudodifferential operators on vector bundles
Siran Li, Xiangxiang Su, Yuantu Zhu
We establish a compensated compactness theorem in the microlocal and geometric analytic framework. For a weakly -convergent sequence of sections of a vector bundle o…