Stability of bifurcating stationary solutions of the artificial compressible system

DOI10.1007/s00021-018-0364-7zbMath1443.35110OpenAlexW2788530285MaRDI QIDQ1795289

Yuka Teramoto

Publication date: 16 October 2018

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-018-0364-7

zbMATH Keywords

stabilitysingular perturbationbifurcationincompressible Navier-Stokes systemartificial compressible system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Navier-Stokes equations (35Q30) Bifurcations in context of PDEs (35B32)

Related Items (5)

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 ⋮ On the mathematical analysis of the artificial compressibility method

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