搜索结果: 1-15 共查到“数学 Smooth”相关记录68条 . 查询时间(0.062 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On forward/inverse spectral problems, approximation problems and multiple integral formulae for non-smooth solitons
非光滑孤子 正/逆谱问题 近似问题 多重积分公式
2023/4/27
A class of nonlinear integrable PDEs admit non-smooth solitary wave solutions as certain special weak solutions. These solutions can be used to capture main attributes of solutions of these PDEs, e.g....
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
2023/4/7
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Homological instability for the moduli space of smooth 4-manifolds
光滑 4-流形模空间 同调不稳定性
2022/11/30
The moduli space of a smooth manifold X is defined to be the classifying space of its diffeomorphism group. Understanding the cohomology group of this space is important because elements in this group...
SURFACE GROUP REPRESENTATIONS TO SL(2, C) AND HIGGS BUNDLES WITH SMOOTH SPECTRAL DATA
SURFACE GROUP SL(2, C) HIGGS BUNDLES SPECTRAL DATA
2015/12/17
We show that for every nonelementary representation of a surface group into SL(2, C) there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the d...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
We review several recent results showing that small piecewise smooth perturbations of integrable systems may exhibit unstable behavior on the set of initial condition
of large measure. We also presen...
This brief paper introduces an algorithm for smooth interpolation of a
multivariate function. The input data for the algorithm consists of a set of function
values and derivatives up to order r on a...
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
oundary integral equations Nystrom discretization Singular integrals Nearly singular integrals Fast solvers Laplace equation Stokes equation Navier equation Fast multipole method Fast Fourier transform
2015/7/14
We present a high-order boundary integral equation solver for 3D elliptic boundary value problems on domains with smooth boundaries. We use Nystro ¨m’s method for discretization, and combine it with s...
A natural smooth compactiffcation of the space of elliptic curves in projective space via blowing up the space of stable maps
projective space stable maps
2015/7/14
We nd it interesting that such a natural naive approach as we will describe
actually works, and yields a desingularization with these nice properties.
Singular parabolic p-Laplacian systems under non-smooth external forces. Regularity up to the boundary
Initial-boundary value problems p-Laplacian parabolic singular systems regularity up to the boundary
2012/6/8
We study the regularity of the solutions to initial-boundary value problems for N-systems of the p-Laplacian type, in $n\geq 3$ space variables, with square-integrable external forces in the space-tim...
Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process
acousto-optic inverse problem spherical Radon transform Helmholtz decomposition piecewise smooth functions reconstruction Landweber iteration stability
2012/6/7
The aim of this paper is to tackle the nonlinear optical reconstruction problem. Given a set of acousto-optic measurements, we develop a mathematical framework for the reconstruction problem in the ca...
A Representation Theorem for Smooth Brownian Martingales
Continuous Martingales Malliavin Calculus Probabilistic Methods for Partial Differential Equations
2012/5/2
We show that, under certain smoothness conditions, a Brownian martingale at a fixed time can be represented as an exponential of its value at a later time. The time-dependent generator of this exponen...
Asymptotic expansion of smooth interval maps
Asymptotic expansion smooth interval maps Dynamical Systems
2012/4/13
We show that several different ways to quantify the asymptotic expansion of a non-degenerate smooth interval map coincide. A consequence is an extension to multimodal maps of the remarkable result of ...
A cohomological classification of vector bundles on smooth affine threefolds
cohomological classification vector bundles smooth affine threefolds Algebraic Geometry
2012/4/3
We give a cohomological classification of vector bundles on smooth affine threefolds over algebraically closed fields having characteristic unequal to 2. As a consequence, if A is a smooth affine alge...
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
BMO Bessel operators Carleson measures uniformly convex uniformly smooth Banach spaces
2011/7/28
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...