Non-smooth evolution of non-Newtonian flows influenced by thermal effects

DOI10.1515/gmj-2022-2171zbMath1504.35318OpenAlexW4283817267MaRDI QIDQ2082116

Jamel Ferchichi, Jean-Paul Zolésio

Publication date: 4 October 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2171

zbMATH Keywords

conduction termfixed points principalthermo-non-Newtonian flowsweak flows evolution

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Fixed-point theorems (47H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Diffusive and convective heat and mass transfer, heat flow (80A19)

Uses Software

• FreeFem++

Cites Work

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• Study of viscoplastic flows governed by the Norton-Hoff operator
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• On a resolvent estimate of the interface problem for the Stokes system in a bounded domain
• Free interface evolution in Norton-Hoff flows with numerical aspects
• A fully nonlinear problem with free boundary in the plane

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