Existence of solutions for a model of microwave heating

DOI10.3934/DCDS.2016.36.3011zbMath1339.35303arXiv1505.03280OpenAlexW2157128944MaRDI QIDQ255899

Luca Scarpa, Pierluigi Colli

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03280

zbMATH Keywords

weak solutionglobal existencemicrowave heatingcircuit modelevolutionary system of partial differential equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Weak solutions to PDEs (35D30) Electro- and magnetostatics (78A30) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (1)

Weak solutions for a thermoelectric problem with power-type boundary effects

Cites Work

• Unnamed Item
• Unnamed Item
• An optimal control problem for microwave heating
• Existence of a solution to the Stefan problem with Joule's heating
• On two-phase Stefan problem arising from a microwave heating process
• Existence of periodic solutions for the quasi-static thermoelastic thermistor problem
• Existence for the thermoviscoelastic thermistor problem
• Compact sets in the space \(L^ p(0,T;B)\)
• A limit model for thermoelectric equations
• Regularity of weak solution to Maxwell's equations and applications to microwave heating
• A model for the microwave heating of a thin ceramic slab in a multimode cavity
• A doubly nonlinear evolution problem related to a model for microwave heating
• Remarks on the existence, uniqueness and semi-explicit solvability of systems of autonomous partial differential equations in divergence form with constant boundary conditions
• A model for resistance welding including phase transitions and Joule heating
• Optimal Control for the Thermistor Problem
• Existence of solutions to a phase transition model with microscopic movements
• The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
• Optimal control of nonlocal thermistor equations
• Temperature modulations in a circuit model of microwave heating

This page was built for publication: Existence of solutions for a model of microwave heating