The Energy Equation for the Navier–Stokes System

From MaRDI portal
Publication:4077622

DOI10.1137/0505092zbMath0316.76011OpenAlexW2073760616MaRDI QIDQ4077622

Marvin Shinbrot

Publication date: 1975

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0505092




Related Items

Note on energy equality of MHD systemRenormalization and energy conservation for axisymmetric fluid flowsOn the energy equality for very weak solutions to 3D MHD equationsEnergy equality of the 3D Navier-Stokes equations and generalized Newtonian equationsON THE ENERGY EQUALITY FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONSThe energy conservations and lower bounds for possible singular solutions to the 3D incompressible MHD equationsEnergy conservation for solutions of incompressible viscoelastic fluidsEnergy conservation for weak solutions of a surface growth modelEnergy conservation for the weak solutions of the compressible Navier-Stokes equationsEnergy equality for the 3D critical convective Brinkman-Forchheimer equationsJean Leray: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 63 (1934), 193--248Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domainOn generalized energy equality of the Navier-Stokes equationsOn the energy equality of Navier-Stokes equations in general unbounded domainsStationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensionsEnergy equality in the isentropic compressible Navier-Stokes equations allowing vacuumEnergy conservation and regularity for the 3D magneto-hydrodynamics equationsEnergy equality of MHD system under a weaker condition on magnetic fieldEnergy equality of the weak solutions to Navier-Stokes equations in the multiplier spacesEnergy equality for the 3D inhomogeneous Navier-Stokes equations in Lorentz-Besov spacesEnergy equalities for the 2D reduced‐gravity two‐and‐a‐half layer systemShinbrot's energy conservation criterion for the 3D Navier-Stokes-Maxwell systemEnergy equality for weak solutions of the compressible Navier-Stokes-Korteweg equations with general pressure law in a bounded domainEnergy conservation for the weak solutions to the 3D compressible nematic liquid crystal flowEnergy equality for the tropical climate modelsOn Some Properties of the Curl Operator and Their Consequences for the Navier-Stokes SystemA general sufficient criterion for energy conservation in the Navier–Stokes systemA note on energy equality for the fractional Navier-Stokes equationsConditions Implying Energy Equality for Weak Solutions of the Navier--Stokes EquationsEnergy conservation of the compressible Euler equations and the Navier-Stokes equations via the gradientNonuniqueness of weak solutions to the Navier-Stokes equationOn regularity of weak solutions to the instationary Navier-Stokes system: a review on recent resultsRegularity criterion on energy equality for compressible Cahn‐Hilliard‐Navier‐Stokes equationsThe energy equality for weak solutions to the equations of non-Newtonian fluidsConvex integration constructions in hydrodynamicsRemarks on the energy equality for the 3D Navier-Stokes equationsEnergy conservation for weak solutions to the 3D Navier-Stokes-Cahn-Hilliard systemOn the energy equality for the 3D Navier-Stokes equationsWeak solutions to unsteady and steady models of conductive magnetic fluidsOn the Shinbrot's criteria for energy equality to Newtonian fluids: a simplified proof, and an extension of the range of applicationOn the energy equality for the weak time-periodic solutions to the Navier-Stokes equationsEnergy equality for weak solutions to Cahn-Hilliard/Navier-Stokes equationsThe energy measure for the Euler and Navier-Stokes equationsLocal Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type CriteriaEnergy equality for the Navier–Stokes equations in weak-in-time Onsager spacesRegularity criterion on the energy conservation for the compressible Navier–Stokes equationsA geometric condition implying an energy equality for solutions of the 3D Navier-Stokes equationEnergy Equality in Compressible Fluids with Physical BoundariesOn the energy equality for solutions to Newtonian and non-Newtonian fluidsEnergy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domainEnergy equalities for compressible Navier–Stokes equationsEnergy conservation for the weak solutions to the equations of compressible magnetohydrodynamic flows in three dimensionsRemarks on the energy equality for the non-Newtonian fluidsAnomalous Dissipation, Anomalous Work, and Energy Balance for the Navier--Stokes EquationsOn the energy equality for distributional solutions to Navier-Stokes-Maxwell systemFinite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domainsEnergy conservation law for weak solutions of the full compressible Navier-Stokes equations