130 citations · 245 across the 24 of their papers we have counts for
24 papers
Global well-posedness of 2D non-resistive compressible MHD system
Yi Zhu
This paper investigates the non-resistive compressible magnetohydrodynamic (MHD) equations in . We establish the global existence and stability of classical solutions…
Global well-posedness of 2D incompressible MHD equations without magnetic diffusion
Shijin Ding, Ronghua Pan, Yi Zhu
In recent years, the global existence of classical solutions to the Cauchy problem for 2D incompressible viscous MHD equations without magnetic diffusion has been proved in \cite{R…
A thermodynamics-based turbulence model for isothermal compressible flows
Zhiting Ma, Wen-An Yong, Yi Zhu
This study presents a new turbulence model for isothermal compressible flows. The model is derived by combining the Favre averaging and the Conservation-dissipation formalism -- a…
Entropy Structure Informed Learning for Inverse XDE Problems
Yan Jiang, Wuyue Yang, Yi Zhu +1
Entropy, since its first discovery by Ludwig Boltzmann in 1877, has been widely applied in diverse disciplines, including thermodynamics, continuum mechanics, mathematical analysis…
Stability and large-time behavior on 3D incompressible MHD equations with partial dissipation near a background magnetic field
Hongxia Lin, Jiahong Wu, Yi Zhu
Physical experiments and numerical simulations have observed a remarkable stabilizing phenomenon: a background magnetic field stabilizes and damps electrically conducting fluids. T…
Global solutions to 3D incompressible MHD system with dissipation in only one direction
Hongxia Lin, Jiahong Wu, Yi Zhu
The small data global well-posedness of the 3D incompressible Navier-Stokes equations in with only one-directional dissipation remains an outstanding open problem. Th…
Global well-posedness for 2D non-resistive compressible MHD system in periodic domain
Jiahong Wu, Yi Zhu
This paper focuses on the 2D compressible magnetohydrodynamic (MHD) equations without magnetic diffusion in a periodic domain. We present a systematic approach to establishing the…
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 existence in critical spaces for non Newtonian compressible viscoelastic flows
Xinghong Pan, Jiang Xu, Yi Zhu
We are interested in the multi-dimentional compressible viscoelastic flows of Oldroyd type, which is one of non-Newtonian fluids exhibiting the elastic behavior. In order to captur…
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…
Generalized hydrodynamics and the classical hydrodynamic limit
Zaibao Yang, Wen-An Yong, Yi Zhu
This work is concerned with our recently developed formalism of non-equilibrium thermodynamics. This formalism extends the classical irreversible thermodynamics which leads to clas…
Global classical solutions of 3D compressible viscoelastic system near equilibrium
Yi Zhu
In this paper, we prove the global existence of general small solutions to compressible viscoelastic system. We remove the "initial state" assumption () and…
The Markov Process Admits a Consistent Steady-State Thermodynamic Formalism
Liangrong Peng, Yi Zhu, Liu Hong
The seek for a new universal formulation for describing various non-equilibrium processes is a central task of modern non-equilibrium thermodynamics. In this paper, a novel steady-…
Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
Yi Zhu
In this paper, we prove the global existence of small smooth solutions to the three-dimensional incompressible Oldroyd-B model without damping on the stress tensor. The main diffic…
Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain
Yi Zhou, Yi Zhu
This paper studies the global existence of classical solutions to the two-dimensional incompressible magneto-hydrodynamical (MHD) system with only magnetic diffusion on the periodi…
Global classical solutions of 3D viscous MHD system without magnetic diffusion on periodic boxes
Ronghua Pan, Yi Zhou, Yi Zhu
In this paper, we study the global existence of classical solutions to the three dimensional incompressible viscous magneto-hydrodynamical system without magnetic diffusion on peri…
A rigorous derivation of multicomponent diffusion laws
Zaibao Yang, Wen-An Yong, Yi Zhu
This article is concerned with the dynamics of a mixture of gases. Under the assumption that all the gases are isothermal and inviscid, we show that the governing equations have an…
Boltzmann-Equation Based Derivation of Balance Laws in Irreversible Thermodynamics
Liu Hong, Zaibao Yang, Yi Zhu +1
In this paper we propose a novel approach to construct macroscopic balance equations and constitutive equations describing various irreversible phenomena. It is based on the genera…
A Novel Dissipation Property of the Master Equation
Liu Hong, Chen Jia, Yi Zhu +1
Recent studies have shown that the entropy production rate for the master equation consists of two nonnegative terms: the adiabatic and non-adiabatic parts, where the non-adiabatic…
Conservation-dissipation formalism of irreversible thermodynamics
Yi Zhu, Liu Hong, Zaibao Yang +1
We propose a conservation-dissipation formalism (CDF) for coarse-grained descriptions of irreversible processes. This formalism is based on a stability criterion for non-equilibriu…