A new proof to the energy conservation for the Navier-Stokes equations

Abstract

In this paper we give a new proof to the energy conservation for the weak solutions of the incompressible Navier-Stokes equations. This result was first proved by Shinbrot. The new proof relies on a lemma introduced by Lions.

References in corpus (2)

• Existence of Global Weak Solutions for 3D Degenerate Compressible Navier-Stokes Equations
• Energy conservation for the weak solutions of the compressible Navier-Stokes equations

Cited by in corpus (5)

• Energy conservation for the weak solutions of the compressible Navier-Stokes equations
• Energy equality in compressible fluids with physical boundaries
• On the energy equality for the 3D incompressible viscoelastic flows
• Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density
• Energy conservation for the non-resistive MHD equations with physical boundaries