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One of the main features of analysis on post-critically finite self-similar (pcfss) sets is that it is possible to understand the behavior of the Laplacian and its inverse, the Green operator, in te...
We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails finding a solution of one Variational Inequality Problem (VIP), the image of which under ...
After Landau, let us define g(n) as the maximal order of a per-mutation of the symmetric group Sn on n letters. We give several estimates of the largest prime divisor P+(g(n)) of g(n).
The equation ∂2 ∂z∂¯z log(s2) = |Q|2s−4 + s2 (1.1) is satisfied by the conformally flat metric s2|dz|2 of a minimal Lagrangian surface in the complex hyperbolic plane CH2,...
We study a model of n one-dimensional non-intersecting Brownian motions with two prescribed starting points at time t = 0 and two prescribed ending points at time t = 1 in a critical regime where the ...
In this paper we develop new applications of variational analysis and generalized differ- entiation to the following optimization problem and its specifications: given n closed subsets of a Banach sp...
As a simple model for lattice defects like grain boundaries in solid state physics we consider potentials which are obtained from a periodic potential V = V (x, y) on R2 with period lattice Z2 by sett...
This paper proposes scalable and fast algorithms for solving the Robust PCA problem, namely recovering a low-rank matrix with an unknown fraction of its entries being arbitrarily corrupted. This probl...
This paper develops a rst-order system least-squares (FOSLS) formulation for equations of two-phase ow. The main goal is to show that this discretization, along with numerical techniques such as nes...
This work originates from a heart’s images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed se...
We continue an analysis, started in [10], of some issues related to the incompressible Euler or Navier-Stokes (NS) equations on a d-dimensional torus Td. More specifically, we consider the quadratic t...
Advective skew dispersion is a natural Markov process defined by a diffusion with drift across an interface of jump discontinuity in a piecewise constant diffusion coefficient.
提出一种适合亚音速流动计算的变分差分方法.该方法结合变分原理以及方向全导数差分公式构造单元节点间的关系,是一种非常简便有效的离散方法.运用该方法对二维圆柱绕流和NACA0012翼型绕流进行计算,结果表明,该方法在亚音速流动模拟中具有较高的计算精度.
研究β平面上2层的准地转流,通过变分计算得出在给定能量、动量以及环量的约束条件下最小的拟能解.此最小解的形式依赖于所考虑区域纬向长度与径向长度的比例.当纬向长度大于径向长度的某一倍数时,除一种特殊情形外,最小解是Rossby波;反之,最小解的形式取决于能量与动量平方的比值.
该文证明了靶流形为齐次流形的弱次椭圆Q调和映射是内部正则的,这里Q是定义域的 齐次维数。这一结果推广了Hajlasz和Strzelecki的相应结果[2].作为推论得到了靶流形为齐次流形的p维p调和映射的正则性.

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