搜索结果: 1-15 共查到“应用数学 plane”相关记录28条 . 查询时间(0.127 秒)
We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existenceand uniqueness of a solu...
Finiteness of central configurations of five bodies in the plane
Finiteness central configurations five bodies in the plane
2015/9/25
We prove there are finitely many isometry classes of planar central configurations (also called relative equilibria) in the Newtonian 5-body problem, except perhaps if the 5-tuple of positive masses b...
A PROOF OF THE UNIFORMIZATION THEOREM FOR ARBITRARY PLANE DOMAINS
UNIFORMIZATION THEOREM ARBITRARY PLANE DOMAINS
2015/8/26
We present a simple constructive proof of the Uniformization Theorem which works for plane domains. The proof is a combination of covering space theory and Koebe's constructive proof of the Riemann ma...
Efficient implementation of smo othed particle hydro dynamics (SPH) with plane sweep algorithm
Smoothed particle hydrodynamics Meshfree method Neighbour search Plane sweep algorithm Morton code Segment tree Quadtree Parallelization Dam break
2014/10/10
Neighbour search (NS) is the core of any implementations of smoothed particle hydrodynamics (SPH). In this paper, we present an efficient O( N log N) neighbour search method based on the plane sweep (...
Disposition Polynomials and Plane Trees
disposition disposition polynomial plane tree Prüfer correspondence
2014/6/3
We define the disposition polynomial Rm(x1, x2,..., xn) as ∏k=0m-1(x1 + x2 + ... + xn + k). When m=n-1, this polynomial becomes the generating function of plane trees with respect to the number of you...
Behavior of the singular solutions of the problem governed by the adjunct of the Laplace operator affected by a weight function near the tops of plane polygon
Singularity Polygon function
2010/9/21
In this work, we study the behavior of the singular solutions of the problem governed by the adjunct of the laplacian operator affected by a weight function in a polygon. First, the study will be done...
On an elliptic boundary problem governed by a Laplacian operator perturbed by a spectral parameter and affected by a weight function in a plane polygon
Spectral prameter Polygon
2010/9/21
In this work, we study the problem governed by the laplacian operator perturbed by a spectral parameter and affected by a weight function in a polygon. First, the study will be done in a plane sector....
On the Decay of Infinite Energy Solutions to the Navier-Stokes Equations in the Plane
Navier-Stokes equations decay of solutions infinite energy solutions
2011/1/20
Infinite energy solutions to the Navier-Stokes equations in R2 may be constructed by decomposing the initial data into a finite energy piece and an infinite energy piece, which are then treated separa...
The classes of the quasihomogeneous Hilbert schemes of points on the plane
the quasihomogeneous Hilbert schemes math
2010/11/23
In this paper we give a formula for the classes (in the Grothendieck ring of complex quasi-projective varieties) of irreducible components of $(1,k)$-quasi-homogeneous Hilbert schemes of points on th...
It is shown that every homeomorphism f of finite distortion in the plane is the so-called lower Q-homeomorphism with Q(z)=K_f(z), and, on this base, it is developed the theory of the boundary behavior...
Suppose a smooth planar curve $\gamma$ is $2\pi$-periodic in the $x$ direction and the length of one period is $\ell$. It is shown that if $\gamma$ self-intersects, then it has a segment of length $\...
Tableaux and plane partitions of truncated shapes
Tableaux and plane partitions truncated shapes
2010/11/9
We consider a new kind of straight and shifted plane partitions/Young tableaux whose diagrams are no longer of partition shape, but rather Young diagrams with boxes erased from their upper right ends....
On the number of Galois points for a plane curve in positive characteristic, IV
Galois points positive characteristic
2010/11/22
Let $C$ be a smooth plane curve of degree $d$. A point $P$ in the projective plane is said to be Galois with respect to $C$ if the function field extension induced from the point projection from $P$ ...
Bi-Lipschitz Embeddability of the Grushin Plane into Euclidean Space
Bi-Lipschitz Embeddability the Grushin Plane Euclidean Space
2010/11/9
Many sub-Riemannian manifolds like the Heisenberg group do not admit bi- Lipschitz embedding into any Euclidean space. In contrast, the Grushin plane admits a bi-Lipschitz embedding into some Euclidea...
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...