EXISTENCE OF SOLUTIONS FOR A MODEL OF MICROWAVE HEATING

被引：0

作者：

Colli, Pierluigi ^{[1
]}

Scarpa, Luca ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 1, I-27100 Pavia, Italy

[2] UCL, Dept Math, Gower St, London WC1E 6BT, England

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 06期

关键词：

Microwave heating; circuit model; evolutionary system of partial differential equations; weak solution; global existence; STEFAN PROBLEM; UNIQUENESS; EQUATIONS;

D O I：

10.3934/dcds.2016.36.3011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a system of differential equations related to a circuit model for microwave heating, complemented by suitable initial and boundary conditions. A RLC circuit with a thermistor is representing the microwave heating process with temperature-induced modulations on the electric field. The unknowns of the PDE system are the absolute temperature in the body, the voltage across the capacitor and the electrostatic potential. Using techniques based on monotonicity arguments and sharp estimates, we can prove the existence of a weak solution to the initial-boundary value problem.

引用

页码：3011 / 3034

页数：24

共 19 条

[1] A model for the microwave heating of a thin ceramic slab in a multimode cavity [J].