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20102021
most citedGlobal classical solutions to the two-dimensional compressible Navier-Stokes equations in

8 citations · 21 across the 5 of their papers we have counts for

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math.AP2021

Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations

Moon-Jin Kang, Alexis F. Vasseur, Yi Wang

We prove the time-asymptotic stability of composite waves consisting of the superposition of a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navie…

math.AP20214 cited

Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations

Lin-An Li, Dehua Wang, Yi Wang

We study the vanishing dissipation limit of the three-dimensional (3D) compressible Navier-Stokes-Fourier equations to the corresponding 3D full Euler equations. Our results are tw…

math.AP2019

Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations

Lin-An Li, Dehua Wang, Yi Wang

The vanishing viscosity limit of the two-dimensional (2D) compressible isentropic Navier-Stokes equations is studied in the case that the corresponding 2D inviscid Euler equations…

math.AP2018

Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in bounded domain

Yi Wang, Bijun Zuo

In this paper, we prove the energy and cross-helicity conservation of weak solutions to the three-dimensional ideal MHD equations in bounded domain under the interior Besov regular…

math.AP20155 cited

Justification of Diffusion limit for the Boltzmann Equation with a non-trivial Profile

Feimin Huang, Yi Wang, Yong Wang +1

Under the diffusion scaling and a scaling assumption on the microscopic component, a non-classical fluid dynamic system was derived in \cite{BGLY} that is related to the system of…

math.AP20128 cited

Global classical solutions to the two-dimensional compressible Navier-Stokes equations in

Quansen Jiu, Yi Wang, Zhouping Xin

In this paper, we prove the global well-posedness of the classical solution to the 2D Cauchy problem of the compressible Navier-Stokes equations with arbitrarily large initial data…