On stability of solutions to equations describing incompressible heat-conducting motions under Navier's boundary conditions

DOI10.1007/s10440-017-0116-3zbMath1384.35070OpenAlexW2742274859WikidataQ59609461 ScholiaQ59609461MaRDI QIDQ681321

Ewa Zadrzyńska, Wojciech M. Zajączkowski

Publication date: 30 January 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-017-0116-3

zbMATH Keywords

Navier boundary conditionsincompressible heat-conducting fluidstability of two-dimensional solution

Mathematics Subject Classification ID

Related Items (1)

Boundary-layer phenomena for the boundary layer for the heat-conductive incompressible viscous fluids in the half space

Cites Work

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• Stability of two-dimensional Navier-Stokes motions in the periodic case
• Stability of two-dimensional heat-conducting incompressible motions in a cylinder
• Stability of two-dimensional solutions to the Navier-Stokes equations in cylindrical domains under Navier boundary conditions
• A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients
• On the Navier-Stokes equations with energy-dependent nonlocal viscosities
• On weak solutions of nonstationary Boussinesq equations
• Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion
• Classical solvability of the coupled system modelling a heat-convergent Poiseuille-type flow
• Unique solvability of a two-dimensional nonstationary problem for the convection equations with temperature-dependent viscosity
• Attractors for two-dimensional equations of thermal convection in the presence of the dissipation function
• On the Navier-Stokes equations with temperature-dependent transport coefficients
• On the stability of global solutions to the 3D Boussinesq system
• Large time decay and growth for solutions of a viscous Boussinesq system
• Long time existence of regular solutions to 3d Navier–Stokes equations coupled with heat convection
• AnL²-maximal regularity result for the evolutionary Stokes–Fourier system
• On the existence of weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids
• Natural convection with dissipative heating

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