Results 1 to 10 of about 103,104 (262)
In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
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Research and Application Analysis of Coiled Tubing Straightening
The coiled tubing has an initial curvature after passing the injector. To address the problem of buckling of coiled tubing with initial curvature under axial load in the hole, the coiled tubing with initial curvature at the wellhead is taken as the ...
Xue Jijun, Bai Zhe, Fu Yang
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Initial conditions for Starobinsky inflation with a positive spatial curvature
In this new version we have included 3 ...
Daniel Müller, Alexey Toporensky
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Studies of the processes of displacement of rock massif layers in the course of their initial underworking indicate that their maximum curvature tends to decrease in the inverse proportion to squared distance to coal bed from the layer in question.
V. N. Gusev
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To reveal the central tearing behaviors and propagation mechanisms of the architectural non-crimp fabric (NCF) composites with an initial crack, a microscopic finite element (FE) model was proposed and developed to simulate the tearing propagation ...
Jianwen Chen +4 more
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Quantifying epithelial cell proliferation on curved surfaces
Out-of-plane curvature is an important, but poorly explored geometric parameter that influences cell behavior. We address the impact of curvature on epithelial proliferation through monitoring how MDCK cells proliferate on planar and curved toroidal ...
Ya-Wen Chang +11 more
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Mean curvature flow with generic initial data
AbstractWe show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ R 3 avoids asymptotically conical and non-spherical compact singularities.
Chodosh, O +3 more
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Yamabe Flow on Non-compact Manifolds with Unbounded Initial Curvature [PDF]
We prove global existence of Yamabe flows on non-compact manifolds $M$ of dimension $m\geq3$ under the assumption that the initial metric $g_0=u_0g_M$ is conformally equivalent to a complete background metric $g_M$ of bounded, non-positive scalar curvature and positive Yamabe invariant with conformal factor $u_0$ bounded from above and below. We do not
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Mean curvature flow with generic initial data II
We show that the mean curvature flow of a generic closed surface in $\mathbb{R}^3$ avoids multiplicity one tangent flows that are not round spheres/cylinders. In particular, we show that any non-cylindrical self-shrinker with a cylindrical end cannot arise generically.
Chodosh, Otis +2 more
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A Gridmap-Path Reshaping Algorithm for Path Planning
Path planning is a vital function of robotic systems. Different from existing roadmap algorithms which first determine the free space and then determine the collision-free path, researchers recently proposed several convex relaxation based smoothing ...
Chaoyi Sun, Qing Li, Li Li
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