4 papers
On the rough solutions of 3D compressible Euler equations: an alternative proof
Huali Zhang, Lars Andersson
The well-posedness of Cauchy problem of 3D compressible Euler equations is studied. By using Smith-Tataru's approach \cite{ST}, we prove the local existence, uniqueness and stabili…
On 3D Hall-MHD equations with fractional Laplacians: global well-posedness
Huali Zhang, Kun Zhao
Cauchy problem for 3D incompressible Hall-magnetohydrodynamics (Hall-MHD) system with fractional Laplacians is studied. First, global well-posedness of small-energy solutions with…
A class of global large, smooth solutions for the magnetohydrodynamics with the Hall and ion-slip effects
Huali Zhang
In this paper, the Cauchy's problem for fractional MHD system with the Hall and ion-slip effects is considered. By exploring the structure of semilinear and quasilinear terms, we p…
Global well-posedness of cubic fractional Schrödinger equations in one dimension
Huali Zhang, Shiliang Zhao
In this paper, we consider the Cauchy's problem of global existence and scattering behavior of small, smooth, and localized solutions of cubic fractional Schrödinger equations in o…