Shinbrot Type Criteria for Energy Conservation of the Compressible Navier-Stokes Equations

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Ruxuan Chen, Qi Zhang, Zhikang Zhang, Xiongbo Zheng
DOI: 10.48550/arxiv.2602.13696
Cited by: 0

Abstract

We prove that weak solutions to the compressible Navier-Stokes equations satisfy the energy equality under a Shinbrot-type regularity criterion. Our method applies to the fluids with both constant and degenerate viscosity and relies on a novel weak-type commutator estimate. These criterion are strictly weaker than those required in prior works [Arch. Ration. Mech. Anal., 225 (2017)] and [SIAM J. Math. Anal. 52 (2020)].

Fields of Study & Subjects

Navier-Stokes equation solutions Nonlinear Partial Differential Equations Computational Fluid Dynamics and Aerodynamics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
14 February 2026
Language
EN
Document type
Preprint