61 citations · 298 across the 31 of their papers we have counts for
32 papers
Robust Observability for Schrödinger Equations with Rough Potentials on 2D Compact Hyperbolic Surfaces
Jiayan Wu, Ting Zhang, Ruze Zhou
This paper investigates the robustness of quantum observability on compact hyperbolic surfaces under potential perturbations. Since regularity is strictly subcritical i…
Decomposition of global solutions of bi-laplacian Nonautonomous Schrödinger equations
Avy Soffer, Jiayan Wu, Xiaoxu Wu +1
We study the bi-Laplacian Schrödinger equation with a general interaction term, which may be linear or nonlinear and is allowed to be time-dependent. We show that global solutions…
Remarks on local regularity of axisymmetric solutions to the 3D Navier--Stokes equations
Hui Chen, Tai-Peng Tsai, Ting Zhang
In this note, a new local regularity criteria for the axisymmetric solutions to the 3D Navier--Stokes equations is investigated. It is slightly supercritical and implies an upper b…
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime
Xuan Liu, Ting Zhang
We study the asymptotic behavior of the modified two-dimensional Schrödinger equation in the critical regime, where with …
Serrin-type regularity criteria for the 3D MHD equations via one velocity component and one magnetic component
Hui Chen, Chenyin Qian, Ting Zhang
In this paper, we consider the Cauchy problem to the 3D MHD equations. We show that the Serrin--type conditions imposed on one component of the velocity and one component o…
Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation
Xuan Liu, Ting Zhang
In this paper, we consider the well-posedness of the inhomogeneous nonlinear biharmonic Schrödinger equation with spatial inhomogeneity coefficient behaves like $\left|x\rig…