activity
20222024
most citedAnalytical validation of the helicity conservation for the compressible Euler equations

1 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2024

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…

math.AP2024

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…

math.AP2023

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…

math.AP2023

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…

math.AP2023

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…

math.AP20221 cited

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…