On the spectrum for the artificial compressible system

DOI10.1016/j.jde.2017.09.026zbMath1378.35218OpenAlexW2762430260MaRDI QIDQ1680455

Takaaki Nishida, Yoshiyuki Kagei, Yuka Teramoto

Publication date: 16 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jde.2017.09.026

zbMATH Keywords

stabilitysingular perturbationincompressible Navier-Stokes systemTaylor vortexartificial compressible system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30)

Related Items (7)

More on convergence of Chorin's projection method for incompressible Navier-Stokes equations ⋮ On the spectrum of the linearized operator around compressible Couette flows between two concentric cylinders ⋮ Maximal \(L^p\)-regularity and \(H^\infty\)-calculus for block operator matrices and applications ⋮ 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

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