Automatic control problems for reaction-diffusion systems

被引：1
|
作者：
Cavaterra, C
Colombo, F
机构：
[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2002年 / 2卷 / 02期
关键词：
reaction-diffusion systems; semilinear parabolic equations; automatic control problems; hysteresis operators of Preisach type;
D O I：
10.1007/s00028-002-8088-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of nonlinear reaction-diffusion systems is considered. We formulate some automatic control problems based on feedback devices located on the boundary. Two different types of devices are analyzed: relay switch and Preisach hysteresis operator. The resulting models lead to a nonlinear integrodifferential parabolic system with nonlinear and nonlocal boundary conditions. We prove global existence and uniqueness of solutions in both the cases considered.
引用
收藏
页码：241 / 273
页数：33
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