6 citations · 19 across the 19 of their papers we have counts for
19 papers
A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum
Yulin Ye
In this paper, we consider the helicity conservation of weak solutions for the compressible Euler equations in a bounded domain with general pressure law and vacuum. We deduce a su…
Four-fifths laws in electron and Hall magnetohydrodynamic fluids: Energy, Magnetic helicity and Generalized helicity
Yanqing Wang, Yulin Ye, Otto Chkhetiani
This paper examines the Kolmogorov type laws of conserved quantities in the electron and Hall magnetohydrodynamic fluids. Inspired by Eyink's longitudinal structure functions and r…
Four-fifths laws in incompressible and magnetized fluids: Helicity, Energy and Cross-helicity
Yulin Ye, Yanqing Wang, Otto Chkhetiani
In this paper, we are concerned with the Kolmogorov's scaling laws of conserved quantities. By means of Eyink's longitudinal structure functions and the analysis of interaction of…
On the energy and helicity conservation of the incompressible Euler equations
Yanqing Wang, Wei Wei, Gnag Wu +1
In this paper, we are concerned with the minimal regularity of weak solutions implying the law of balance for both energy and helicity in the incompressible Euler equations. In the…
On two conserved quantities in the inviscid electron and Hall magnetohydrodynamic equations
Yanqing Wang, Jing Yang, Yulin Ye
In this paper, we are concerned with the energy and magnetic helicity conservation of weak solutions for both the electron and Hall magnetohydrodynamic equations. Various sufficien…
Yaglom's law and conserved quantity dissipation in turbulence
Yanqing Wang, Wei Wei, Yulin Ye
In this paper, we are concerned with the local exact relationship for third-order structure functions in the temperature equation, the inviscid MHD equations and the Euler equation…
Global Classical Solutions to the viscous two-phase flow model with slip Boundary Conditions in 3D Exterior Domains
Zilai Li, Hao Liu, Huaqiao Wang
We consider the two-phase flow model with slip boundary condition in a 3D exterior domains whose boundary is smooth. We establish the global existence of classical solutions of thi…
Energy and helicity conservation for the generalized quasi-geostrophic equation
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we consider the 2-D generalized surface quasi-geostrophic equation with the velocity determined by . It is shown that the ty…
Energy conservation of weak solutions for the incompressible Euler equations via vorticity
Jitao Liu, Yanqing Wang, Yulin Ye
Motivated by the works of Cheskidov, Lopes Filho, Nussenzveig Lopes and Shvydkoy in [8, Commun. Math. Phys. 348: 129-143, 2016] and Chen and Yu in [5, J. Math. Pures Appl. 131: 1-1…
Analytical validation of the helicity conservation for the compressible Euler equations
Yanqing Wang, Wei Wei, Yulin Ye
In [25], Moffatt introduced the concept of helicity in an inviscid fluid and examined the helicity preservation of smooth solution to barotropic compressible flow. In this paper, i…
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…
On continuation criteria for the full compressible Navier-Stokes equations in Lorentz spaces
Yanqing Wang, Wei Wei, Gang Wu +1
In this paper, we derive several new sufficient conditions of non-breakdown of strong solutions for for both the 3D heat-conducting compressible Navier-Stokes system and nonhomogen…
Global weak solutions to 3D compressible Navier-Stokes-Poisson equations with density-dependent viscosity
Yulin Ye
Global-in-time weak solutions to the Compressible Navier-Stokes-Poisson equations in a three-dimensional torus for large data are considered in this paper. The system takes into ac…
Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data
Quansen Jiu, Mingjie Li, Yulin Ye
In this paper, we prove that the 1D Cauchy problem of the compressible Navier-Stokes equations admits a unique global classical solution if the viscosity w…