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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.AP2014
Anisotropic regularity conditions for the suitable weak solutions to the 3d Navier-Stokes equations
Yanqing Wang, Gang Wu
We are concerned with the problem,originated from Seregin [18,19,20], what are minimal sufficiently conditions for the regularity of suitable weak solutions to the 3d Naiver-Stokes…