Classical solutions for a one phase osmosis model

F. Lippoth, G. Prokert

Research output: Book/ReportReportAcademic

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For a moving boundary problem modelling the motion of a semipermeable membrane by osmotic pressure and surface tension we prove the existence and uniqueness of classical solutions on small time intervals. Moreover, we construct solutions existing on arbitrary long time intervals, provided the initial geometry is close to an equilibrium. In both cases, our method relies on maximal regularity results for parabolic systems with inhomogeneous boundary data.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages24
Publication statusPublished - 2011

Publication series

ISSN (Print)0926-4507


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