Remarks on the energy equality for the 3D Navier-Stokes equations
type: Item
instance of: scholarly article
title: Remarks on the energy equality for the 3D Navier-Stokes equations
zbMATH Open document ID: 1485.35317
DOI: 10.1007/978-3-030-68144-9_3
author: Luigi C. Berselli
author: Elisabetta Chiodaroli
publication date: 2021-09-06T00:00:00Z
review text: The authors consider the 3D Navier-Stokes equations and they study the energy conservation for solutions. By considering Leray-Hopf weak solutions, they obtain some new criteria for energy conservation, involving the gradient of the velocity. Then they compare the results with the existing literature in scaling invariant spaces and with the Onsager conjecture. Moreover, they work on the problem of energy conservation for very-weak solutions, showing energy equality for distributional solutions belonging to the so-called Shinbrot class. For the entire collection see [Zbl 1467.76003].
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 7391463
zbMATH Keywords: Navier-Stokes equations
reviewed by: Fatma Gamze Duzgun
MaRDI profile type: Publication
full work available at URL: 978-3-030-68144-9 3
OpenAlex ID: W3159161532
cites work: On the strong solvability of the Navier-Stokes equations
cites work: Linear and Quasilinear Parabolic Problems
cites work: A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
cites work: On the energy equality for solutions to Newtonian and non-Newtonian fluids
cites work: On a regularity criterion for the solutions to the 3D Navier-Stokes equations.
cites work: On the energy equality for the 3D Navier-Stokes equations
cites work: On a Stochastic Approach to Eddy Viscosity Models for Turbulent Flows
cites work: Mathematics of Large Eddy Simulation of Turbulent Flows
cites work: Onsager's Conjecture for Admissible Weak Solutions
cites work: Energy conservation and Onsager's conjecture for the Euler equations
cites work: On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations
cites work: Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces
cites work: Navier-Stokes equations and area of interfaces
cites work: Onsager's conjecture on the energy conservation for solutions of Euler's equation
cites work: Analytic solutions for a Stefan problem with Gibbs-Thomson correction
cites work: The initial value problem for the Navier-Stokes equations with data in L\(^p\)
cites work: On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results
cites work: Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data
cites work: On the energy equality of Navier-Stokes equations in general unbounded domains
cites work: Rigorous remarks about scaling laws in turbulent fluids
cites work: Q3293573
cites work: On the energy equality for distributional solutions to Navier–Stokes equations
cites work: Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
cites work: Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
cites work: A proof of Onsager's conjecture
cites work: Conditions Implying Energy Equality for Weak Solutions of the Navier--Stokes Equations
cites work: Sur la régularité et l'unicité des solutions turbulentes des équations de Navier-Stokes
cites work: A note on Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations
cites work: Q4385187
cites work: Un teorema di unicita per le equazioni di Navier-Stokes
cites work: Q5723392
cites work: The Energy Equation for the Navier–Stokes System
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Q4100565
cites work: Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes
description: scientific article; zbMATH DE number 7391463