Siran Li

collaborators

5 papers

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.DG2026

Existence of semiglobal $W^{2, p}$ -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…

math.FA2026

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 $L_{loc}^{2}$ -convergent sequence of sections of a vector bundle o…

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.DG2025

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 $(I^£, g)$ within the full diffeomor…

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

Existence of semiglobal W2,p-isometric immersions for negatively curved surface metrics with unbounded second fundamental form

A compensated compactness theorem for pseudodifferential operators on vector bundles

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

On local solubility of Bao--Ratiu equations on surfaces related to the geometry of diffeomorphism group

Existence of semiglobal $W^{2, p}$ -isometric immersions for negatively curved surface metrics with unbounded second fundamental form

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