Linearized stability analysis of surface diffusion for hypersurfaces with boundary contact.
Preprintreihe der Fakultät Mathematik 7/2011,
The linearized stability of stationary solutions for surface diffusion is studied. We consider hypersurfaces that lie inside a fixed domain, touch its boundary with a right angle and fulfill a no-flux condition. We formulate the geometric evolution law as a partial differential equation with the help of a parametrization from Vogel [Vog00], which takes care of a possible curved boundary. For the ...
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|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||partial differential equations on manifolds, surface diffusion, linearized stability of stationary solutions, gradient
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||18 Apr 2011 06:56|
|Last Modified:||13 Mar 2014 17:15|