Existence for non-isothermal fluid flows with Tresca's friction and Cattaneo's heat law

DOI10.1016/j.jmaa.2015.02.034zbMath1343.80003OpenAlexW1990904310MaRDI QIDQ907744

Mahdi Boukrouche, Laetitia Paoli, Imane Boussetouan

Publication date: 26 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.02.034

zbMATH Keywords

Navier-Stokes systemhyperbolic heat equationCattaneo's lawfixed point techniqueTresca's friction boundary conditions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Classical and relativistic thermodynamics (80A10) Second-order hyperbolic equations (35L10)

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Existence and approximation for Navier–Stokes system with Tresca’s friction at the boundary and heat transfer governed by Cattaneo’s law ⋮ Unsteady micropolar fluid flow in a thin domain with Tresca fluid-solid interface law ⋮ Comb model for the anomalous diffusion with dual-phase-lag constitutive relation ⋮ Physical models for flow: acoustic interaction ⋮ 3D unsteady Navier-Stokes problem with memory and subdifferential boundary condition ⋮ Equatorial wave-current interactions ⋮ Low Mach number limit for the full compressible Navier-Stokes equations with Cattaneo's heat transfer law ⋮ Unsteady non-Newtonian fluid flows with boundary conditions of friction type: the case of shear thickening fluids ⋮ Vector Potentials with Mixed Boundary Conditions. Application to the Stokes Problem with Pressure and Navier-type Boundary Conditions

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