On the Shinbrot's criteria for energy equality to Newtonian fluids: a simplified proof, and an extension of the range of application

DOI10.1016/J.NA.2020.111809zbMath1437.35525arXiv1912.10249OpenAlexW3006741538MaRDI QIDQ1988429

Jiaqi Yang, Hugo Beirão da Veiga

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10249

zbMATH Keywords

Newtonian fluidsenergy equalityShinbrot's type results

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (8)

Energy equality of the 3D Navier-Stokes equations and generalized Newtonian equations ⋮ Energy equality in the isentropic compressible Navier-Stokes equations allowing vacuum ⋮ Energy equality for weak solutions of the compressible Navier-Stokes-Korteweg equations with general pressure law in a bounded domain ⋮ Energy equality for the tropical climate models ⋮ A general sufficient criterion for energy conservation in the Navier–Stokes system ⋮ Energy conservation for weak solutions to the 3D Navier-Stokes-Cahn-Hilliard system ⋮ On the energy equality for the weak time-periodic solutions to the Navier-Stokes equations ⋮ Energy equality of weak solutions of the Navier-Stokes-Fourier equations allowing vacuum

Cites Work

• Unnamed Item
• On the energy equality for the 3D Navier-Stokes equations
• On the energy equality for solutions to Newtonian and non-Newtonian fluids
• Un teorema di unicita per le equazioni di Navier-Stokes
• The Energy Equation for the Navier–Stokes System

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