Bénard problem for slightly compressible fluids: existence and nonlinear stability in 3D

DOI10.1155/2020/9610689zbMath1464.76037OpenAlexW3042147316MaRDI QIDQ2026247

Arianna Passerini

Publication date: 19 May 2021

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

Full work available at URL: https://doi.org/10.1155/2020/9610689

zbMATH Keywords

Galerkin methodasymptotic solutionpressure-dependent density

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Convection in hydrodynamic stability (76E06) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Unnamed Item
• Stability in the rotating Bénard problem and its optimal Lyapunov functions
• The Bénard problem for slightly compressible materials: existence and linear instability
• Singular limit of equations for linear viscoelastic fluids with periodic boundary conditions
• Nonlinear stability of the magnetic Bénard problem via a generalized energy method
• A Lorenz model for almost compressible fluids
• A high regularity result of solutions to modified \(p\)-Stokes equations
• Théorie non linéaire de la stabilité des ecoulements laminaires dans le cas de 'l'echange des stabilités'
• A new approach to energy theory in the stability of fluid motion
• Theoretical Results on Steady Convective Flows between Horizontal Coaxial Cylinders
• Existence and nonlinear stability of convective solutions for almost compressible fluids in Bénard problem
• Coerciveness in L p

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