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 6 of 6 for “"long-time existence"”.
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Almost well-posedness of the full water wave equation on the finite stripe domain
… If the initial fluid flow is prescribed at time zero, i.e., mathematically the initial condition for the Euler equations is given, the long-time existence of a unique solution for the Euler equations is still an open problem, even if the initial condition is small (or initial flow is almost …
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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. …
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Ricci Yang-Mills Flow
… system, and hence prove general unique short-time existence of solutions. Furthermore we prove derivative estimates of Bernstein-Shi type. These can be used to find a complete obstruction to long-time existence, as well as to prove a compactness theorem for Ricci Yang Mills flow solutions. Our …
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Aspects Of The Ricci Flow
… curvature conditions, Harnack estimates, long-time existence results, to gradient Ricci solitons. Recently, Wilking [98] proved a theorem giving a simple criterion to check if a curvature condition is preserved along the RF. Using his approach, we show another criterion with slightly …
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Uniqueness problems in mean curvature flow
… and the extension of the flow beyond singular times. These questions have significant applications in geometry, topology, and analysis. For the first problem, with Jingze Zhu, we formulate a canonical way to study the limit model near a singularity of a generic closed mean curvature flow of …
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On the Variational Theory of Yang-Mills-Higgs Energies and the Structure of the Singular Set of $\mathbb{Z}$$_{2}$-Harmonic Spinors
… connections ∇ of Hermitian line bundles has long been studied in differential geometry and theoretical physics. We show how its variational theory is related to the one of the (n − 2)-area functional by establishing a Γ-convergence result in the spirit of Modica and Mortola. With this in …