The energy equality for the Navier-Stokes equations in bounded domains

2018/02/21 by Cheng Yu, Yu, Cheng · 8 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Bounded function #Compressibility #Energy (signal processing) #Energy method #FOS: Mathematics #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Navier–Stokes equations #Physics #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1802.07661

published in arXiv (Cornell University) (Cornell University)

arxiv created 2018/02/21 · openalex publication_date 2018/02/21 · arxiv updated 2018/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide a sufficient condition of the energy equality for the incompressible Navier-Stokes equations in bounded domains.

Citations

• Sur le mouvement d'un liquide visqueux emplissant l'espace
• Energy conservation for the weak solutions of the compressible Navier-Stokes equations
• Statistical hydrodynamics

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