Stability of equilibria for a two-phase osmosis model

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• 作者：Friedrich Lippoth (1)
  Georg Prokert (2)
  
• 关键词：Primary 35R37 ; Secondary 35B35 ; 35K61 ; Moving boundary problem ; Stability ; Maximal regularity ; Relaxation type boundary dynamics
• 刊名：NoDEA : Nonlinear Differential Equations and Applications
• 出版年：2014
• 出版时间：February 2014
• 年：2014
• 卷：21
• 期：1
• 页码：129-148
• 全文大小：318 KB
• 作者单位：Friedrich Lippoth (1)
  Georg Prokert (2)
  
  1. Institute of Applied Mathematics, Leibniz University of Hanover, Welfengarten 1, 30167, Hannover, Germany
  2. Faculty of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands
  
• ISSN：1420-9004

文摘

For a two-phase moving boundary problem modelling the motion of a semipermeable membrane by osmotic pressure and surface tension, we prove that the manifold of equilibria is locally exponentially attractive. Our method relies on maximal regularity results for parabolic systems with relaxation type boundary dynamics.