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Showing 1 to 3 of 3 for “"geometric evolution equations"”.
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Level set methods for higher order evolution laws
A numerical treatment of non-linear higher-order geometric evolution equations with the level set and the finite element method is presented. The isotropic, weak anisotropic and strong anisotropic situation is discussed. Most of the equations considered in this work arise from the field of thin …
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Geometric quantization and dynamical constructions on the space of Kähler metrics
… of the Thesis is concerned with a problem of geometric quantization: Can the geometry of the infinite-dimensional space of Kähler metrics be approximated in terms of the geometry of the finite-dimensional spaces of FubiniStudy Bergman metrics sitting inside it? We restrict to toric varieties …
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Biharmonic maps
We study the long-time existence and convergence of the gradient flow for the (intrinsic) biharmonic energy under suitable curvature or initial energy assumptions. Moreover we use the biharmonic energy to regularize the Dirichlet energy for maps from a Riemannian surface into a round sphere. …