文章基本信息

标题：Stability properties of a heat equation with state-dependent parameters and asymmetric boundary conditions
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作者：Christoph Josef Backi ; Jan Dimon Bendtsen ; John Leth 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：11
页码：587-592
DOI：10.1016/j.ifacol.2015.09.250
语种：English
出版社：Elsevier
摘要：AbstractIn this work the stability properties of a partial differential equation (PDE) with statedependent parameters and asymmetric boundary conditions are investigated. The PDE describes the temperature distribution inside foodstuff, but can also hold for other applications and phenomena. We show that the PDE converges to a stationary solution given by (fixed) boundary conditions which explicitly diverge from each other. Numerical simulations illustrate the results.
关键词：KeywordsParabolic PDEheat equationstability analysisstate-dependent parameters