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  • 标题:Stability properties of a heat equation with state-dependent parameters and asymmetric boundary conditions
  • 本地全文:下载
  • 作者:Christoph Josef Backi ; Jan Dimon Bendtsen ; John Leth
  • 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
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