Existence and nonlinear stability of convective solutions for almost compressible fluids in Bénard problem

DOI10.1063/1.5102063zbMath1427.76068OpenAlexW2991437455MaRDI QIDQ5206043

Arianna Passerini, Antonino De Martino

Publication date: 17 December 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11392/2412018

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Convection in hydrodynamic stability (76E06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

Approximation à la Oberbeck-Boussinesq for fluids with pressure-induced stratified density ⋮ Notes on symmetry in convective flows ⋮ On the self-propulsion of a rigid body in a viscous liquid by time-periodic boundary data ⋮ Existence and uniqueness of isothermal, slightly compressible stratified flow ⋮ Bénard problem for slightly compressible fluids: existence and nonlinear stability in 3D ⋮ A Lorenz model for almost compressible fluids ⋮ Existence, uniqueness and asymptotic behavior of regular time-periodic solutions to the Navier-Stokes equations around a moving body: rotational case

Cites Work

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• The Bénard problem for slightly compressible materials: existence and linear instability
• Natural convection in horizontal annuli: evaluation of the error for two approximations
• A note on Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations
• Nonlinear stability of the magnetic Bénard problem via a generalized energy method
• Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in exterior domains
• A new approach to energy theory in the stability of fluid motion
• Theoretical Results on Steady Convective Flows between Horizontal Coaxial Cylinders
• Natural convection between two horizontal coaxial cylinders

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