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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…