Evolution of convex lens-shaped networks under the curve shortening flow
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Publication:3003601
DOI10.1090/S0002-9947-2010-04820-2zbMath1220.53083arXiv0711.1108WikidataQ57535402 ScholiaQ57535402MaRDI QIDQ3003601
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Publication date: 27 May 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.1108
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Cites Work
- Unnamed Item
- Self-similar solutions of a 2-D multiple-phase curvature flow
- Asymptotic behavior for singularities of the mean curvature flow
- Mean curvature evolution of entire graphs
- Interior estimates for hypersurfaces moving by mean curvature
- The normalized curve shortening flow and homothetic solutions
- The heat equation shrinking convex plane curves
- The heat equation shrinks embedded plane curves to round points
- A distance comparison principle for evolving curves
- Time-interior gradient estimates for quasilinear parabolic equations
- Classification of limiting shapes for isotropic curve flows
- Sharp estimates for mean curvature flow of graphs