The Oberbeck–Boussinesq system with non-local boundary conditions

DOI10.1090/qam/1635OpenAlexW4307291626MaRDI QIDQ5883679

Eduard Feireisl, Anna Abbatiello

Publication date: 22 March 2023

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.15130

zbMATH Keywords

strong solutionnon-local boundary conditionOberbeck-Boussinesq system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Heat equation (35K05) Maximum principles in context of PDEs (35B50) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Methods of ordinary differential equations applied to PDEs (35A24) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Strong solutions to PDEs (35D35) Diffusive and convective heat and mass transfer, heat flow (80A19) Classical solutions to PDEs (35A09)

Related Items (2)

Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term ⋮ On the exponential decay in time of solutions to a generalized Navier-Stokes-Fourier system

Cites Work

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