On the artificial compressibility method for the Navier-Stokes-Fourier system

DOI10.1090/S0033-569X-2010-01163-6zbMath1197.35191arXiv0807.3842OpenAlexW2963311051MaRDI QIDQ3586730

Donatella Donatelli

Publication date: 1 September 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3842

zbMATH Keywords

approximation methodNavier-Stokes-Fourier systemRayleigh-Benard equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

On the spectrum for the artificial compressible system ⋮ On some singular limits arising in fluid dynamic modelling ⋮ Artificial compressibility method for the Navier-Stokes-Maxwell-Stefan system ⋮ Approximation of the 2D incompressible electrohydrodynamics system by the artificial compressibility method ⋮ Singular limit in Hopf bifurcation for doubly diffusive convection equations. II: Bifurcation and stability ⋮ Singular limit in Hopf bifurcation for doubly diffusive convection equations. I: Linearized analysis at criticality ⋮ Stability of bifurcating stationary solutions of the artificial compressible system ⋮ On the mathematical analysis of the artificial compressibility method ⋮ THE ARTIFICIAL COMPRESSIBILITY APPROXIMATION FOR MHD EQUATIONS IN UNBOUNDED DOMAIN

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