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Motion by mean curvature and nucleation
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997Summary: A model is proposed to represent mean curvature flow (with forcing term), as well as nucleation and other discontinuities in set evolution. A weak formulation in the framework of BV-spaces is written in terms of the characteristic function of the evolving set. This problem has at least one solution.
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Prescribing the Mean Curvature
2021This chapter provides conditions either necessary or sufficient for a given quantity (either a scalar function or a vector field) to be the mean curvature of a given foliation with respect to some Riemannian metric. The particular case of this quantity being identically zero (tautness) has been described separately.
Vladimir Rovenski, Paweł Walczak
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1994
Given a function \(H\in L^ 1 (\mathbb{R}^ n)\) a measurable set \(E\subset \mathbb{R}^ n\) is said to have variational mean curvature \(H\) if \(E\) minimizes the functional \(F_ H (E)= \int| D\chi_ E|+ \int_ E H(x)dx\), where \(\int| D\chi_ E|\) denotes the total variation of the vector measure \(D\chi_ E\), \(\chi_ E=\) characteristic function of the
MASSARI, Umberto, E. GONZALEZ
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Given a function \(H\in L^ 1 (\mathbb{R}^ n)\) a measurable set \(E\subset \mathbb{R}^ n\) is said to have variational mean curvature \(H\) if \(E\) minimizes the functional \(F_ H (E)= \int| D\chi_ E|+ \int_ E H(x)dx\), where \(\int| D\chi_ E|\) denotes the total variation of the vector measure \(D\chi_ E\), \(\chi_ E=\) characteristic function of the
MASSARI, Umberto, E. GONZALEZ
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Remark on Mean Curvature [PDF]
Journal of the London Mathematical Society, 1966 openaire +2 more sources
Optimally estimating the sample standard deviation from the five‐number summary
Research Synthesis Methods, 2020Jiandong Shi, Hong Weng, Lu Lin
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ENSO Atmospheric Teleconnections and Their Response to Greenhouse Gas Forcing
Reviews of Geophysics, 2018Sang-wook Yeh, Wenju Cai, Seung-Ki Min
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