On the mathematical analysis of the artificial compressibility method
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Publication:2062236
DOI10.1007/s42985-021-00118-3zbMath1476.35174OpenAlexW3209448817WikidataQ115369803 ScholiaQ115369803MaRDI QIDQ2062236
Publication date: 27 December 2021
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-021-00118-3
stabilitysingular perturbationbifurcationincompressible Navier-Stokes systemartificial compressible system
Navier-Stokes equations (35Q30) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)
Cites Work
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- Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
- The Couette-Taylor problem
- On the spectrum for the artificial compressible system
- Stability of bifurcating stationary solutions of the artificial compressible system
- 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 spectrum of the linearized operator around compressible Couette flows between two concentric cylinders
- On Chorin's method for stationary solutions of the Oberbeck-Boussinesq equation
- A numerical method for solving incompressible viscous flow problems
- Existence and nonuniqueness of rectangular solutions of the Benard problem
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Stabilität und Verzweigung stationärer Lösungen der Navier- Stokesschen Gleichungen beim Taylorproblem. (Stability and branching of the stationary solutions of the Navier-Stokes equation on the problems of Taylor)
- THE ARTIFICIAL COMPRESSIBILITY APPROXIMATION FOR MHD EQUATIONS IN UNBOUNDED DOMAIN
- Hopf bifurcation for two-dimensional doubly diffusive convection
- Leray weak solutions of the incompressible Navier Stokes system on exterior domains via the artificial compressibility method
- On the artificial compressibility method for the Navier-Stokes-Fourier system
- A DISPERSIVE APPROACH TO THE ARTIFICIAL COMPRESSIBILITY APPROXIMATIONS OF THE NAVIER–STOKES EQUATIONS IN 3D
- Secondary flows and fluid instability between rotating cylinders
- The numerical solution of the Navier-Stokes equations for an incompressible fluid
- BRANCHING ANALYSIS FOR THE TAYLOR PROBLEM
- Numerical Solution of the Navier-Stokes Equations
