3 papers
math.AP2024
Global well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system
Tiantian Hao, Feng Shao, Dongyi Wei +2
In this paper, we study the global well-posedness of the 3-D inhomogeneous incompressible Navier-Stokes system (INS in short) with initial density being discontinuous and in…
math.AP2024
Global well-posedness of inhomogeneous Navier-Stokes equations with bounded density
Tiantian Hao, Feng Shao, Dongyi Wei +1
In this paper, we solve Lions' open problem: {\it the uniqueness of weak solutions for the 2-D inhomogeneous Navier-Stokes equations (INS)}. We first prove the global existence of…
math.AP2024
On the density patch problem for the 2-D inhomogeneous Navier-Stokes equations
Tiantian Hao, Feng Shao, Dongyi Wei +1
In this paper, we first construct a class of global strong solutions for the 2-D inhomogeneous Navier-Stokes equations under very general assumption that the initial density is onl…