On the energy equality for solutions to Newtonian and non-Newtonian fluids

DOI10.1016/j.na.2019.03.022zbMath1418.35290arXiv1901.02277OpenAlexW2909434200WikidataQ128056338 ScholiaQ128056338MaRDI QIDQ2312575

Jiaqi Yang, Hugo Beirão da Veiga

Publication date: 17 July 2019

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/1901.02277

zbMATH Keywords

energy equalitynewtonian and non-Newtonian fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (11)

Note on energy equality of MHD system ⋮ Energy equality of the 3D Navier-Stokes equations and generalized Newtonian equations ⋮ Energy conservation for weak solutions of a surface growth model ⋮ Energy equality of the weak solutions to Navier-Stokes equations in the multiplier spaces ⋮ Energy conservation for weak solutions of incompressible fluid equations: the Hölder case and connections with Onsager's conjecture ⋮ Remarks on the energy equality for the 3D Navier-Stokes equations ⋮ On the energy equality for the 3D Navier-Stokes equations ⋮ On the Shinbrot's criteria for energy equality to Newtonian fluids: a simplified proof, and an extension of the range of application ⋮ On the energy equality for the weak time-periodic solutions to the Navier-Stokes equations ⋮ Slip effects on unsteady oblique stagnation point flow of nanofluid in a view of inclined magnetic field ⋮ Remarks on the energy equality for the non-Newtonian fluids

Cites Work

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• On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results
• Cauchy problem for the non-Newtonian viscous incompressible fluid
• A geometric condition implying an energy equality for solutions of the 3D Navier-Stokes equation
• The energy equality for weak solutions to the equations of non-Newtonian fluids
• Existence of strong solutions to the equations of unsteady motion of shear thickening incompressible fluids
• Un teorema di unicita per le equazioni di Navier-Stokes
• Ulteriori proprieta di alcune classi di funzioni in piu variabili
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• The Energy Equation for the Navier–Stokes System
• On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations
• On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\)

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