Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"Partielle Differentialgleichung"”.
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Towards a fictitious domain method with optimally smooth solutions
The main focus of this thesis is the smoothness of the solutions provided by fictitious domain methods for elliptic boundary value problems, and the construction of a new fictitious domain method which does not introduce artificial singularities, yielding better performance. After settling the …
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A variational formulation of a floating body
In this thesis we consider a two-dimensional motion with a floating body from a variational point of view. We consider an irrotational flow of an inviscid, homogeneous and incompressible liquid of finite depth acted on by gravity and surface tension. We look for 2R-periodic waves which propagate …
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Non-parametric hypersurfaces of prescribed mean curvature in H n x R
In the present thesis, we consider hypersurfaces of prescribed mean curvature and prescribed boundary values in the product manifold $HypimesR$ from a variational point of view. Here, $Hyp$ denotes the conformal ball model of the hyperbolic n-space. We focus mainly on non-parametric hypersurfaces …
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The evolution equations for Dirac-harmonic Maps
This thesis investigates the gradient flow of Dirac-harmonic maps. Dirac-harmonic maps are critical points of an energy functional that is motivated from supersymmetric field theories. The critical points of this energy functional couple the equation for harmonic maps with spinor fields. At …
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Shape optimization of a floating body
In the present thesis we consider a variational formulation of a floating body in a perfect fluid. In particular, we study the case of a stationary two-dimensional potential flow and thus we are able to replace the velocity potential by its harmonic conjugate which is called the stream function. …