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We provide local formulas for the pressure of incompressible uids. The pressure can be expressed in terms of its average and averages of squares of velocity increments in arbitrary small neighborhoods...
Volunteer divers from The University of Queensland’s Underwater Club have began their descent on the North Stradbroke Island Point Lookout dive sites, to measure changes in plant and animal life over ...
Global climate change is projected to accelerate during the next century, altering oceanic patterns in temperature, pH and oxygen concentrations. Documenting patterns of genetic adaptation to these ...
Numerical experiments are given to verify the theoretical results for superconvergence of the elliptic problem by global and local L2-Projection methods.
We give a lower bound of (n(d−1)/2) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [n]d. Our lower bound is nearly tight, as Grover Search c...
Using 55 years of daily average temperatures from a local weather station, I made a least-absolute-deviations (LAD) regression model that accounts for three effects: seasonal variations, the 11-year s...
We consider the convergence theory of local multigrid methods for H1()-elliptic and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest order conforming fin...
Based on some coupled discretizations, a local computational scheme is proposed and analyzed in this paper for a class of higher order 痭ite element eigenvalue approximations. Its e眂iency is proven b...
We consider H(curl; ?-elliptic variational problems on bounded Lipschitz polyhedra and their 痭ite element Galerkin discretization by means of lowest order edge elements. We assume that the underlyin...
A reflexion space is generalization of a symmetric space introduced by O. Loos. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate, when local reflexio...
Consider a branch of unstable solitons of NLS whose linearized operators have one pair of simple real eigenvalues in addition to the zero eigenvalue. Under radial symmetry and standard assumptions, so...
We consider random $n\times n$ matrices of the form $(XX*+YY*)^{-1/2}YY*(XX*+YY*)^{-1/2}$, where $X$ and $Y$ have independent entries with zero mean and variance one. These matrices are the natural ge...
It is a classical result of Ginibre that the normalized bulk $k$-point correlation functions of a complex $n \times n$ gaussian matrix with independent entries of mean zero and unit variance are asymp...
Let $X_N$ be a $N\times N$ matrix whose entries are i.i.d. complex random variables with mean zero and variance $\frac{1}{N}$. We study the asymptotic spectral distribution of the eigenvalues of the c...
In this paper we extend the concept of Milnor fiber and Milnor number of a curve singularity allowing the ambient space to be a quotient surface singularity. A generalization of the local {\delta}-inv...

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