Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece

DOI10.1016/j.cnsns.2021.106156zbMath1483.35244OpenAlexW4200146751MaRDI QIDQ2074175

Van Chien Le, Karel Van Bockstal, Marián Slodička

Publication date: 4 February 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106156

zbMATH Keywords

monotone operatorspotential operatorsnonlinear induction hardeningphase transition in steel

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Maxwell equations (35Q61) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

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