| 词汇 | mean-curvature |
| 释义 | BETA mean curvaturecollocation in Englishmeanings of meanand curvatureThese words are often used together. Click on the links below to explore the meanings. mean noun[ S ] uk /miːn/ us /miːn/ mathematics specialized the result you get by adding two or more amounts together and dividing the total by the number ... See more at mean curvature noun[ U or C ] uk /ˈkɜː.və.tʃər/ us /ˈkɝː.və.tʃɚ/ the state of being curved ... See more at curvature Examples of mean curvaturemean curvature The solid lines are the asymptotic result given by (2.14) and the dashed lines are the numerical results from area-preserving meancurvature motion (1.3). The main feature of meancurvature flow is its area-decreasing property, which is a consequence of the following result. We are now in position to look at the regularized level set meancurvature flow problem as a problem for graphs. We have run numerical tests for anisotropic meancurvature flow of graphs. In the radial situation, explicit solutions for a situation in which meancurvature flow is coupled to elasticity are presented. This is not possible if we consider pure meancurvature flow that always leads to shrinking inclusions. A curved interface (or, more precisely, an interface with a non-zero meancurvature) will tend to move in order to reduce its interfacial energy. A parametrized curve evolving by meancurvature can evolve smoothly from this configuration. This relation will be very important for the numerical treatment of meancurvature flow. For this reason, the level set approach has also become very important in the numerical approximation of meancurvature flow and related problems. The area-preserving meancurvature flow predicts that a semi-circular interface is stationary when it is attached to a flat segment of the boundary. However, for the averaged meancurvature flow the behaviour is different. We are now in a position to mention our nonlocal meancurvature flow. These choices lead to differing evolutions for meancurvature flow. In the case of motion by meancurvature there is the notion of a viscosity solution which yields a unique evolution from any continuous function. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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