搜索结果: 1-15 共查到“应用数学 surfaces”相关记录21条 . 查询时间(0.047 秒)
The study of the spectrum of the Laplace operator has produced an extensive literature. (See [Cha] and the references therein.) Of special interest to recent applications has been the behavior of spec...
One-dimensional model of interacting-step fluctuations on vicinal surfaces:Analytical formulas and kinetic Monte Carlo simulations
One-dimensional model interacting-step fluctuations vicinal surfaces Analytical formulas kinetic Monte Carlo simulations
2015/10/16
We study analytically and numerically a one-dimensional model of interacting line defects steps fluctuating on a vicinal crystal. Our goal is to formulate and validate analytical techniques for appr...
CONNECTION OF KINETIC MONTE CARLO MODEL FOR SURFACES TO ONE-STEP FLOW THEORY IN 1+1 DIMENSIONS
kinetic Monte Carlo Burton–Cabrera–Frank theory low-density approximation near-equilibrium condition master equation maximum principle
2015/10/16
The Burton–Cabrera–Frank (BCF) theory of step flow has been recognized as a valuable tool for describing nanoscale evolution of crystal surfaces. We formally derive a single-step BCF-type model from a...
We present a novel method for texture synthesis on surfaces from examples. We consider a very general type of textures, including color, transparency and displacements. Our method synthesizes the text...
Algorithmic shape modeling with subdivision surfaces
Procedural models Multi-scale surfaces Catmull–Clark subdivision Shape blending Warping and morphing Fractals Signal mesh processing
2015/7/15
We present methods for synthesizing 3D shape features on subdivision surfaces using multi-scale procedural techniques. Multi-scale synthesis is a powerful approach for creating surfaces with different...
Entire Solutions of the Allen-Cahn Equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in R3
Allen-Cahn Equation Embedded Minimal Surfaces Finite Total Curvature in R3
2015/4/3
Entire Solutions of the Allen-Cahn Equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in R3.
On nodal Enriques surfaces and quartic double solids
nodal Enriques surfaces quartic double solids
2011/2/21
We consider the class of singular double coverings X ! P3 ramified in the degeneration locus
D of a family of 2-dimensional quadrics. These are precisely the quartic double solids constructed by Arti...
A Functorial Map from Knots in Thickened Surfaces to Classical Knots and Generalisations of Parity
Functorial Map Thickened Surfaces Classical Knots
2010/11/24
We construct a functorial map from knots in thickened surfaces to classical knots. This method uses a natural generalisation of the notion of parity: we localise the information about non-triviality ...
Uniformization of simply connected finite type log-Riemann surfaces
simply connected finite type log-Riemann surfaces
2010/11/9
We consider simply connected log-Riemann surfaces with a finite number of ramification points. We prove that these surfaces are biholomorphic to C with uniformizations given by entire functions of th...
We consider immersions of a Riemann surface into a manifold with $G_2$-holonomy and give criteria for them to be conformal and harmonic, in terms of an associated Gauss map
The unirationality of the moduli spaces of 2-elementary K3 surfaces (with an Appendix by Ken-Ichi Yoshikawa)
the moduli spaces of 2-elementary K3 surfaces math
2010/11/15
We prove the unirationality of the moduli spaces of K3 surfaces with non-symplectic involutions. As a by-product, we describe the configuration space of 4as an arit...
Another proof of Ricci flow on incomplete surfaces with bounded above Gauss curvature
Ricci flow on incomplete surfaces Gauss curvature
2010/11/17
We give a simple proof of an extension of the existence results of Ricci flow of G.Giesen and P.M.Topping [GiT1],[GiT2], on incomplete surfaces with bounded above Gauss curvature without using the di...
Hyperelliptic $d$-osculating covers and rational surfaces
Hyperelliptic $d$-osculating covers rational surfaces
2010/11/19
Let $\mathbb{P}^1$ and $(X,q)$ denote, respectively, the projective line and a fixed elliptic curve marked at its origin, both defined over an algebraically closed field $\mathbb{K}$ of arbitrary cha...
On minimal surfaces of axially symmetric planal Riemannian metrics in 3-space
Riemannian metrics Minimal surfaces
2010/9/17
In last, we characterise that, the only riemannian metrics which have a constant determinant on Bμ,ξ and which admit all the planes as minimal surfaces are Heisenberg’s metrics.
About some Riemann surfaces and plane tilings
Riemann surfaces orbifold plane tiling geometry of discrete type generalized metric
2009/3/2
In this paper, after a short introduction, we focus on some
properties of Riemann surfaces that are connected with aspects from classical
and modern crystallography. The third part of the paper cont...