16 citations · 23 across the 6 of their papers we have counts for
11 papers · 1 filter
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…
Global weak solutions to compressible Navier-Stokes-Vlasov-Boltzmann systems for spray dynamics
Irene M. Gamba, Cheng Yu
This work concerns the global existence of the weak solutions to a system of partial differential equations modeling the evolution of particles in the fluid. That system is given b…