WEAK SOLUTIONS OF NAVIER–STOKES EQUATIONS CONSTRUCTED BY ARTIFICIAL COMPRESSIBILITY METHOD ARE SUITABLE

DOI10.1142/S0219891611002330zbMath1217.35134arXiv1407.6147MaRDI QIDQ3004762

Stefano Spirito, Donatella Donatelli

Publication date: 3 June 2011

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6147

zbMATH Keywords

incompressible Navier-Stokes equationsuitable weak solution

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Hydro- and aero-acoustics (76Q05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

Analysis of variable-step/non-autonomous artificial compression methods ⋮ On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method ⋮ On some singular limits arising in fluid dynamic modelling ⋮ Asymptotic regularity and attractors for slightly compressible Brinkman-Forchheimer equations ⋮ Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization ⋮ On the convergence of a fully discrete scheme of LES type to physically relevant solutions of the incompressible Navier-Stokes ⋮ Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation ⋮ From quasi-incompressible to semi-compressible fluids

Cites Work

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• Partial regularity of suitable weak solutions of the navier-stokes equations
• A DISPERSIVE APPROACH TO THE ARTIFICIAL COMPRESSIBILITY APPROXIMATIONS OF THE NAVIER–STOKES EQUATIONS IN 3D

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