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math.AP2025
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…
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…