Siran Li

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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…

math.AP2025

Spacetime decay of mild solutions and conditional quantitative transfer of regularity of the incompressible Navier--Stokes Equations from $R^{n}$ to bounded domains

Siran Li, Xiangxiang Su

We are concerned with the "transfer of regularity" phenomenon for the incompressible Navier--Stokes Equations (NSE) in dimension $n \geq 3$ ; that is, the strong solutions of NSE on…

math.AP2024

Some recent developments on isometric immersions via compensated compactness and gauge transforms

Siran Li

We survey recent developments on the analysis of Gauss--Codazzi--Ricci equations, the first-order PDE system arising from the classical problem of isometric immersions in different…

On well-posedness theory of very weak solutions to Navier-Stokes equations on irregular domains with nonhomogeneous Dirichlet boundary data

Spacetime decay of mild solutions and conditional quantitative transfer of regularity of the incompressible Navier--Stokes Equations from Rn to bounded domains

Some recent developments on isometric immersions via compensated compactness and gauge transforms

Spacetime decay of mild solutions and conditional quantitative transfer of regularity of the incompressible Navier--Stokes Equations from $R^{n}$ to bounded domains