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math.AP2026
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…
math.AP2026
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…