1 citations · 3 across the 5 of their papers we have counts for
5 papers
Global well-posedness and orbital stability of solitary waves for Zakharov-Ito equation
Fan Wu, Feng Shao
In this paper, we consider the Zakharov-Ito equation \begin{equation*} \begin{cases} u_t+u_{xxx}+3uu_x+ρρ_x=0,\\ ρ_t+{(uρ)}_x=0. \end{cases} \end{equation*} We prove the local well…
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 ini…
Fekete's lemma in Banach spaces
Aleksei Kulikov, Feng Shao
For a sequence of vectors in the uniformly convex Banach space which for all satisfy we show the…
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…
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…