5 citations · 13 across the 9 of their papers we have counts for
8 papers
Global Regularity to Incompressible Viscoelastic System With a Class of Large Initial Data
Yi Zhu
The global existence of solutions to incompressible viscoelastic flows has been a longstanding open problem, even for the global weak solution. Under some special structure ("div-c…
Identification of hydrodynamic instability by convolutional neural networks
Wuyue Yang, Liangrong Peng, Yi Zhu +1
The onset of hydrodynamic instabilities is of great importance in both industry and daily life, due to the dramatic mechanical and thermodynamic changes for different types of flow…
When Machine Learning Meets Multiscale Modeling in Chemical Reactions
Wuyue Yang, Liangrong Peng, Yi Zhu +1
Due to the intrinsic complexity and nonlinearity of chemical reactions, direct applications of traditional machine learning algorithms may face with many difficulties. In this stud…
Revealing hidden dynamics from time-series data by ODENet
Pipi Hu, Wuyue Yang, Yi Zhu +1
To derive the hidden dynamics from observed data is one of the fundamental but also challenging problems in many different fields. In this study, we propose a new type of interpret…
High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation
Peter Constantin, Jiahong Wu, Jiefeng Zhao +1
We give a small data global well-posedness result for an incompressible Oldroyd-B model with wave number dissipation in the equation of stress tensor. The result is uniform in solv…
Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium
Jiahong Wu, Yi Zhu
This paper focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed partial dissipation and magnetic diffusion. Our main result assesses the global stability…