27 citations · 44 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Global large, smooth solutions of the 2D surface quasi-geostrophic equations
Huali Zhang, Jinlu Li
In this paper, we prove the global regularity of smooth solutions to 2D surface quasi-geostrophic (SQG) equations with super-critical dissipation for a class of large initial data,…
Blow up of fractional Schrödinger equations on manifolds with nonnegative Ricci curvature
Huali Zhang, Shiliang Zhao
In this paper, the well-posedness of Cauchy's problem of fractional Schrödinger equations with a power type nonlinearity on -dimensional manifolds with nonnegative Ricci curvatu…
Global Large Smooth Solutions for 3-D Hall-magnetohydrodynamics
Huali Zhang
In this paper, the global smooth solution of Cauchy's problem of incompressible, resistive, viscous Hall-magnetohydrodynamics (Hall-MHD) is studied. By exploring the nonlinear stru…