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arXiv · 2110.07606

Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density

Yulin Ye·Yanqing Wang·Huan Yu
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Abstract

In this paper, we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navier-Stokes equations. The energy equality criteria without upper bound of the density are established. Almost all previous corresponding results requires $\rho\in L^{\infty}(0,T;L^{\infty}(\mathbb{T}^{d}))$.

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Yulin Ye, Yanqing Wang, Huan Yu. 2021-10-14. Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density. https://arxiv.org/abs/2110.07606

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