204 citations · 379 across the 22 of their papers we have counts for
22 papers
Learning operators for identifying weak solutions to the Navier-Stokes equations
Dixi Wang, Cheng Yu
This paper focuses on investigating the learning operators for identifying weak solutions to the Navier-Stokes equations. Our objective is to establish a connection between the ini…
Global ill-posedness for a dense set of initial data to the Isentropic system of gas dynamics
Robin Ming Chen, Alexis F. Vasseur, Cheng Yu
In dimension and , we show that for any initial datum belonging to a dense subset of the energy space, there exist infinitely many global-in-time admissible weak solutions…
Dissipative solutions to the compressible isentropic Navier-Stokes equations
Liang Guo, Fucai Li, Cheng Yu
The existence of dissipative solutions to the compressible isentropic Navier-Stokes equations was established in this paper. This notion was inspired by the concept of dissipative…
Inviscid limit of the inhomogeneous incompressible Navier-Stokes equations under the weak Kolmogorov hypothesis in
Dixi Wang, Cheng Yu, Xinhua Zhao
In this paper, we consider the inviscid limit of inhomogeneous incompressible Navier-Stokes equations under the weak Kolmogorov hypothesis in . In particular, we firs…
Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient
Cheng Yu, Bijun Zuo
In this paper, the initial-boundary value problem to the three-dimensional inhomogeneous, incompressible and heat-conducting Navier-Stokes equations with temperature-depending visc…
Global Existence of Entropy-Weak Solutions to the Compressible Navier-Stokes Equations with Non-Linear Density Dependent Viscosities
Didier Bresch, Alexis Vasseur, Cheng Yu
In this paper, we extend considerably the global existence results of entropy-weak solutions related to compressible Navier-Stokes system with density dependent viscosities obtaine…