6 citations · 19 across the 19 of their papers we have counts for
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Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density
Yulin Ye, Yanqing Wang, Huan Yu
In this paper, we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navie…
The role of density in the energy conservation for the isentropic compressible Euler equations
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we study Onsager's conjecture on the energy conservation for the isentropic compressible Euler equations via establishing the energy conservation criterion involving…
Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum
Yulin Ye, Yaniqng Wang, Wei Wei
It is well-known that a Leray-Hopf weak solution in for the incompressible Navier-Stokes system is persistence of energy due to Lions [19]. In this paper, it is…
Gagliardo-Nirenberg inequalities in Lorentz type spaces and energy equality for the Navier-Stokes system
Yanqing Wang, Wei Wei, Yulin Ye
In this paper, we derive some new Gagliardo-Nirenberg type inequalities in Lorentz type spaces without restrictions on the second index of Lorentz norms, which generalize almost al…
A general sufficient criterion for energy conservation in the Navier-Stokes system
Yanqing Wang, Yulin Ye
In this paper, we derive an energy conservation criterion based on a combination of velocity and its gradient for the weak solutions of both the homogeneous incompressible Navier-S…
On non-resistive limit of 1D MHD equations with no vacuum at infinity
Zilai Li, Huaqiao Wang, Yulin Ye
In this paper, we consider the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity, but the initial vacuum…