Showing 2024Show all
3 papers · 1 filter
math.DG2024
On local solubility of Bao--Ratiu equations on surfaces related to the geometry of diffeomorphism group
Siran Li, Xiangxiang Su
We are concerned with the existence of asymptotic directions for the group of volume-preserving diffeomorphisms of a closed 2-dimensional surface within the full diffeomorp…
math.DG2024
On the fundamental theorem of submanifold theory and isometric immersions with supercritical low regularity
Siran Li, Xiangxiang Su
A fundamental result in global analysis and nonlinear elasticity asserts that given a solution to the Gauss--Codazzi--Ricci equations over a simply-connected closed…
math.AP2024
Nematic-Isotropic phase transition in Beris-Edward system at critical temperature
Xiangxiang Su
We are concerned with the sharp interface limit for the Beris-Edward system in a bounded domain in this paper. The system can be described as the incompress…