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Evolution of the first eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow

open access: yesOpen Mathematics, 2020
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
doaj   +1 more source

Research and Application Analysis of Coiled Tubing Straightening

open access: yesShiyou jixie, 2020
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
doaj  

Initial conditions for Starobinsky inflation with a positive spatial curvature

open access: yesThe European Physical Journal Plus
In this new version we have included 3 ...
Daniel Müller, Alexey Toporensky
openaire   +2 more sources

Forecasting safe conditions for developing coal bed suites under aquifers on the basis of geomechanics of technogenic water conducting fractures

open access: yesЗаписки Горного института, 2016
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
doaj   +1 more source

Numerical investigation on central tearing behaviors and propagation mechanisms of coated warp-knitted fabrics

open access: yesJournal of Industrial Textiles, 2022
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
doaj   +1 more source

Quantifying epithelial cell proliferation on curved surfaces

open access: yesFrontiers in Physics, 2022
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
doaj   +1 more source

Mean curvature flow with generic initial data

open access: yesInventiones mathematicae
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
openaire   +4 more sources

Yamabe Flow on Non-compact Manifolds with Unbounded Initial Curvature [PDF]

open access: yesThe Journal of Geometric Analysis, 2019
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
openaire   +3 more sources

Mean curvature flow with generic initial data II

open access: yes, 2023
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
openaire   +2 more sources

A Gridmap-Path Reshaping Algorithm for Path Planning

open access: yesIEEE Access, 2019
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
doaj   +1 more source

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