Long-time existence of solutions to the Navier-Stokes equations with inflow-outflow and heat convection

DOI10.1002/MMA.1603zbMath1251.35071OpenAlexW2061568111MaRDI QIDQ2905700

Piotr Kacprzyk

Publication date: 28 August 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1603

zbMATH Keywords

Navier-Stokes equationsglobal existenceslip boundary conditionNeumann conditionLeray-Schauder fixed point theoremheat convection

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

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Cites Work

• On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows
• Existence of global weak solutions for Navier-Stokes equations with large flux
• Long time existence of solutions to 2D Navier-Stokes equations with inflow-outflow and heat convection
• Large time regular solutions to the Navier-Stokes equations in cylindrical domains
• Global regular nonstationary flow for the Navier-Stokes equations in a cylindrical pipe
• Long time existence of regular solutions to 3d Navier–Stokes equations coupled with heat convection
• Long time estimate of solutions to 3d Navier–Stokes equations coupled with heat convection
• On existence of solutions for the nonstationary Stokes system with boundary slip conditions
• Flux problem for a certain class of two-dimensional domains
• Global regular nonstationary flow for the Navier–Stokes equations in a cylindrical pipe

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