The energy equalities of compressible Navier–Stokes equations with general pressure law
and degenerate viscosities are studied. By using a unified approach, we give sufficient …

It is well-known that a Leray-Hopf weak solution in L 4 (0, T; L 4 (T 3)) for the incompressible
Navier-Stokes system is persistence of energy due to Lions [19]. In this paper, it is shown …

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 …

This paper concerns the global energy conservation for distributional solutions to
incompressible Hall-MHD equations without resistivity. Motivated by the works of Tan and …

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 …

In this paper, we derive a sufficient condition keeping energy conservation in terms of the
gradient of the velocity for the weak solutions of the compressible Euler equations for both …

In this paper, we prove the energy and cross-helicity conservation of weak solutions to the
three-dimensional ideal MHD equations in a bounded domain under the interior Besov …

This paper concerns the energy conservation for the weak solutions of the compressible
Navier–Stokes equations. Assume that the density is positively bounded, we work on the …

In this paper, we are concerned with the conservation of energy criterion of the weak
solutions to the Navier–Stokes–Fourier equations on the torus allowing vacuum. We …

We consider a vanishing viscosity sequence of weak solutions for the three-dimensional
Navier–Stokes equations of incompressible fluids in a bounded domain. In a seminal paper …