32 citations · 36 across the 6 of their papers we have counts for
6 papers
Error Estimates for Deep Learning Methods in Fluid Dynamics
Animikh Biswas, Jing Tian, Suleyman Ulusoy
In this study, we provide error estimates and stability analysis of deep learning techniques for certain partial differential equations including the incompressible Navier-Stokes e…
Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes
Animikh Biswas, Joshua Hudson, Jing Tian
In this paper, we study existence times of strong solutions of the three-dimensional Navier-Stokes equations in time-varying analytic Gevrey classes based on Sobolev spaces $H^s, s…
Parameter-robust Multiphysics Algorithms for Biot Model with Application in Brain Edema Simulation
Guoliang Jv, Mingchao Cai, Jingzhi Li +1
In this paper, we develop two parameter-robust numerical algorithms for Biot model and applied the algorithms in brain edema simulations. By introducing an intermediate variable, w…
On the emergence of the Navier-Stokes- model for turbulent channel flows
Ciprian Foias, Jing Tian, Bingsheng Zhang
In a series of papers (see \cite{CDT02} and the pertinent references therein) the 3D Navier-Stokes- model were shown to be a useful complement to the 3D Navier-Stokes equations;…
On solutions of the 2D Navier-Stokes equations with constant energy and enstrophy
Jing Tian, Bingsheng Zhang
It is not yet known if the global attractor of the space periodic 2D Navier-Stokes equations contains nonstationary solutions such that their energy and enstrophy per unit…
Measure synchronization in a two-species bosonic Josephson junction
Jing Tian, Haibo Qiu, Guanfang Wang +2
Measure synchronization (MS) in a two-species bosonic Josephson junction (BJJ) is studied based on semi-classical theory. Six different scenarios for MS, including two in the Josep…