Results 51 to 60 of about 119,565 (169)

Molecular Surface Estimation by Geometric Coupled Distance Functions

IEEE Access, 2020
Estimating the surface from given atoms with location and size information is a fundamental task in many fields, such as molecular dynamics and protein analysis. In this paper, we present a novel method for such surface estimation. Our method is based on
Yuanhao Gong, Yong Chen
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Precision measurement of the mean curvature

Physical Review D, 2006
7 pages accepted for publication in PRD. Final published version with more on how the curvature constraints depend on the technique used for measuring ...
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Ground state solutions for the Hénon prescribed mean curvature equation

Advances in Nonlinear Analysis, 2018
In this paper, we consider the analogous of the Hénon equation for the prescribed mean curvature problem in ℝN{{\mathbb{R}^{N}}}, both in the Euclidean and in the Minkowski spaces. Motivated by the studies of Ni and Serrin [W. M. Ni and J.
Azzollini Antonio
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Spectral Prescribed Mean Curvature

CoRR
We consider prescribed mean curvature equations whose solutions are minimal surfaces, constant mean curvature surfaces, or capillary surfaces. We consider both Dirichlet boundary conditions for Plateau problems and nonlinear Neumann boundary conditions for capillary problems and we consider domains in $\mathbf{R}^2$ to be rectangles, disks, or annuli.
Jonas Haug, Rachel Jewell, Ray Treinen
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Skew mean curvature flow

Communications in Contemporary Mathematics, 2019
The skew mean curvature flow (SMCF), which origins from the study of fluid dynamics, describes the evolution of a codimension two submanifold along its binormal direction. We study the basic properties of the SMCF and prove the existence of a short-time solution to the initial value problem of the SMCF of compact surfaces in Euclidean space [Formula ...
Song, Chong, Sun, Jun
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Cosmological meaning of geometric curvatures

Filomat, 2020
In this paper, we analyzed the physical meaning of scalar curvatures for a generalized Riemannian space. It is developed the Madsen?s formulae for pressures and energy-densities with respect to the corresponding energy-momentum tensors. After that, the energy-momentum tensors, pressures, energy-densities and state-parameters are analyzed ...
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Rotational Hypersurfaces in S3(r)R Product Space

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017
We consider rotational hypersurfaces in S3(r) R product space of five dimensional Euclidean space E5. We calculate the mean curvature and the Gaussian curvature, and give some results.
Erhan Güler, Ömer Kişi
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Graphs with Parallel Mean Curvature [PDF]

Proceedings of the American Mathematical Society, 1989
We prove that if the graph Γ
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Totally real surfaces in CP2 with parallel mean curvature vector

International Journal of Mathematics and Mathematical Sciences, 1992
It has been shown that a totally real surface in CP2 with parallel mean curvature vector and constant Gaussian curvature is either flat or totally geodesic.
M. A. Al-Gwaiz, Sharief Deshmukh
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Solutions to mean curvature equations in weighted standard static spacetimes

Electronic Journal of Differential Equations, 2020
In this article, we study the solutions for the mean curvature equation in a weighted standard static spacetime, $\mathbb{P}_f^n\times_\rho\mathbb{R}_1$, having a warping function $\rho$ whose weight function f does not depend on the parameter $t\in ...
Henrique F. de Lima, Andre F. A. Ramalho, Marco Antonio L. Velasquez   +2 more
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