On the mathematical analysis of the artificial compressibility method

Yoshiyuki Kagei ()
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Yoshiyuki Kagei: Tokyo Institute of Technology

Partial Differential Equations and Applications, 2021, vol. 2, issue 5, 1-19

Abstract: Abstract Recent results on the stability of bifurcating solutions of the artificial compressible system with small artificial Mach numbers are reviewed. A perturbation result on the spectrum of linearized operators around stationary flows is also given when the artificial Mach number is sufficiently small.

Keywords: Incompressible Navier–Stokes system; Artificial compressible system; Singular perturbation; Stability; Bifurcation; 35Q30; 76E99; 76M99 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00118-3

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