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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.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 -convergent sequence of sections of a vector bundle o…