Analysis of a non-uniformly elliptic and nonlinear coupled parabolic–elliptic system arising in steel hardening

DOI10.1080/00207160.2013.771837zbMath1288.35470OpenAlexW2039634323MaRDI QIDQ5416453

M. T. González Montesinos, Francisco Ortegón Gallego

Publication date: 20 May 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.771837

zbMATH Keywords

Sobolev spacesMaxwell's equationssteel hardeningnonlinear parabolic-elliptic equationsJoule's heating

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Heat equation (35K05) Boundary value problems for nonlinear higher-order PDEs (35G30) Maxwell equations (35Q61) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Numerical Simulation of Potential Maxwell’s Equations in the Harmonic Regime

Cites Work

• Unnamed Item
• Analysis and numerical simulation of an induction-conduction model arising in steel heat treating
• Transient numerical simulation of a thermoelectrical problem in cylindrical induction heating furnaces
• Nonlinear elliptic and parabolic equations involving measure data
• A numerical method for transient simulation of metallurgical compound electrodes.
• Regularity of weak solution to Maxwell's equations and applications to microwave heating
• A mathematical model for induction hardening including mechanical effects
• Vector potentials in three-dimensional non-smooth domains
• Optimal Shape Design of Inductor Coils for Surface Hardening
• Numerical simulation of induction hardening of steel

This page was built for publication: Analysis of a non-uniformly elliptic and nonlinear coupled parabolic–elliptic system arising in steel hardening