On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions

DOI10.1016/j.jmaa.2020.124201zbMath1442.35320arXiv1910.03994OpenAlexW3025909795MaRDI QIDQ2190012

Rafael Arndt, Andrea N. Ceretani, Carlos N. Rautenberg

Publication date: 17 June 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03994

zbMATH Keywords

weak solutionsmixed boundary conditionsBoussinesq systemartificial boundary conditionsdo-nothing boundary condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Weak solutions to PDEs (35D30) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (4)

The Boussinesq System with Nonsmooth Boundary Conditions: Existence, Relaxation, and Topology Optimization ⋮ On coupled flows of micropolar heat conducting fluids with mixed boundary conditions ⋮ On buoyancy‐driven viscous incompressible flows with various types of boundary conditions ⋮ Local in time existence of solution of the Navier-Stokes equations with various types of boundary conditions

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