On the Heat Convection Equations with Dissipation Term in Regions with Moving Boundaries

DOI<347::AID-MMA864>3.0.CO;2-4 10.1002/(SICI)1099-1476(19970310)20:4<347::AID-MMA864>3.0.CO;2-4zbMath0874.35093OpenAlexW2065722998MaRDI QIDQ3123391

Piotr Krzyżanowski, Grzegorz Łukaszewicz

Publication date: 24 April 1997

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19970310)20:4<347::aid-mma864>3.0.co;2-4

zbMATH Keywords

uniquenessinitial value problemlocal in time existenceBanach fixed point theoremdissipation of energyglobal in time existencelimit passageStokes equations in non-cylindrical domains

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Free convection (76R10)

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Global well-posedness for the heat-conductive incompressible viscous fluids, The nonsteady Boussinesq system with mixed boundary conditions including conditions of friction type

Cites Work

• Differentiation of integrals in \(\mathbb{R}^n\)