搜索结果: 1-15 共查到“理学 Self-Similar”相关记录33条 . 查询时间(0.093 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data
平滑数据 二维布西内斯 三维欧拉方程 稳定近似 自相似爆炸
2023/4/13
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
We study a particle moving at unit speed in a channel made by
connected self-similar billiard tables that grow in size by a factor r > 1
from left to right (this model was recently introduced in phy...
On asymptotics of a tracer advected in a locally self-similar,correlated flow
On asymptotics tracer advected locally self-similar correlated flow
2015/7/14
In this paper we consider the motion of a tracer in a flow that is locally self-similar and whose correlations decay at infinity but at the rate that does not guarantee that the flow does not have ”me...
Self-similar transformations of lattice-Ising models at critical temperatures
Self-similar transformations lattice-Ising models critical temperatures General Physics
2012/5/29
We classify geometric blocks that serve as spin carriers into simple blocks and compound blocks by their topologic connectivity, define their fractal dimensions and describe the relevant transformatio...
Some Exact Self-Similar Solutions to a Density-Dependent Reaction-Diffusion Model
Exact Self-Similar Density-Dependent Reaction-Diffusion Model Biological Physics
2012/4/20
In this paper, we investigated a density-dependent reaction-diffusion equation, $u_t = (u^{m})_{xx} + u - u^{m}$. This equation is known as the extension of the Fisher or Kolmogoroff-Petrovsky-Piscoun...
Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
Local-in-space estimates initial time weak solutions of the Navier-Stokes equations forward self-similar solutions Analysis of PDEs
2012/4/18
We show that the classical Cauchy problem for the incompressible 3d Navier-Stokes equations with $(-1)$-homogeneous initial data has a global scale-invariant solution which is smooth for positive time...
(Self-)similar groups and the Farrell-Jones conjectures
(Self-)similar groups the Farrell-Jones conjectures K-Theory and Homology
2011/9/21
Abstract: We show that contracting self-similar groups satisfy the Farrell-Jones conjectures as soon as their universal contracting cover is non-positively curved. This applies in particular to bounde...
Method of oscillation and spectral problem for four-order differential operator with self-similar weight
Method of oscillation spectral problem self-similar weight
2011/9/20
Abstract: Self-adjoint boundary problems for the equation $y^{(4)}-\lambda\rho y=0$ with generalized derivative $\rho\in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered....
On the Existence of a Self-Similar Coarse Graining of a Self-Similar Space
self-similar set fractals dynamical system Cantor set coarse graining
2011/9/16
Abstract: A topological space homeomorphic to a self-similar space is demonstrated to be self-similar. There exists a self-similar space $S$ whose coarse graining is homeomorphic to $S$. The coarse gr...
An algorithm for computing the centered Hausdorff measure of self-similar sets
centered Hausdorff measure self-similar sets computability of fractal measures
2011/9/15
Abstract: We provide an algorithm for computing the centered Hausdorff measure of self-similar sets satisfying the strong separation condition. We prove the convergence of the algorithm and test its u...
Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain
Self-similar asymptotics the Navier-Stokes system two dimensional exterior domain Analysis of PDEs
2011/9/1
Abstract: We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the velocity is suff...
Self-similar analytical model of the plasma expansion in a magnetic field
Plasma expansion Self-similar model Magnetic field Plasma Physics
2011/8/2
Abstract: The study of hot plasma expansion in a magnetic field is of interest for many astrophysical applications. In order to observe this process in laboratory, an experiment is proposed in which a...
Semianalytic theory of self-similar optical propagation and mode locking using a shape-adaptive model pulse
adaptive model pulse Semianalytic theory self-similar optical propagation mode locking
2011/7/7
A semianalytic theory for the pulse dynamics in similariton amplifiers and lasers is presented, based on a model pulse with adaptive shape. By changing a single parameter, this test function can be co...
Semianalytic theory of self-similar optical propagation and mode locking using a shape-adaptive model pulse
Semianalytic shape-adaptive model pulse
2011/9/1
A semi-analytic theory for the pulse dynamics in similariton amplifiers and lasers is presented,based on a model pulse with adaptive shape. By changing a single parameter, this test function can be co...
Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups
Singular integrals self-similar sets removability Heisenberg group
2011/1/20
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind are Euclidean space...