A master thesis from Aalborg University
On the von Karman Equations - Initial-Boundary Value Problems and Stabilization
Author(s)
Term
4. term
Education
Publication year
2002
Submitted on
2012-02-14
Abstract
The stationary and time-dependent von Karman equations are under consideration in this thesis. In the first part, various preliminary tools are introduced: A product on Sobolev spaces, an existence, uniqueness and regularity theorem for elliptic boundary value problems, some results on the biharmonic operator and the Monge-Amp\''{e}re form, and finaly some theory on dynamical systems and stability. In the second part, the von Karman equations are treated: First it is shown, that a weak solution is continuous with respect to time. Then existence and uniqueness theorems for the time-dependent von Karman equations are shown. Next an existence and a regularity theorem for the stationary von Karman equations are shown. The thesis is concluded with a stabilization result for time-dependent von Karman equations with boundary feedback.
Documents
Colophon: This page is part of the AAU Student Projects portal, which is run by Aalborg University. Here, you can find and download publicly available bachelor's theses and master's projects from across the university dating from 2008 onwards. Student projects from before 2008 are available in printed form at Aalborg University Library.
If you have any questions about AAU Student Projects or the research registration, dissemination and analysis at Aalborg University, please feel free to contact the VBN team. You can also find more information in the AAU Student Projects FAQs.