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We survey a few examples of boundary layers for which the Prandtl boundary layer theory can be rigorously validated. All of them are associated with the incompressible Navier-Stokes equations for Newtonian fluids equipped with various Dirichlet boundary conditions (specified velocity). These examples include a family of (nonlinear 3D) plane parallel flows,… (More)

In this article, for any fixed genus g ≥ 1, we prove that a positive proportion of hyperelliptic curves over Q of genus g have points over R and over Qp for all p, but have no points globally over any extension of Q of odd degree. By a hyperelliptic curve over Q, we mean a smooth, geometrically irreducible, complete curve C over Q equipped with a fixed map… (More)

2 Lifting results 4 2.1 Pure inner forms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Twisting the representation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Rational orbits in the twisted representation . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 A cohomological obstruction to lifting… (More)

- Xiaoheng Wang, Xingrong Liu
- Wei sheng yan jiu = Journal of hygiene research
- 2008

OBJECTIVE
To study the effect of humidity on emission of formaldehyde from blockboard.
METHODS
A 0.25 m3 of simulation chamber was used to explore the emission of formaldehyde from blockboard under different conditions of humidity. The temperatures of simulation chamber were kept at the degrees of 23 +/- 0.1, the velocity of ventilation of 1.0 L/min, the… (More)

- Xiaoheng Wang, Qingsheng Xue
- Applied optics
- 2017

A new type of optical system for atmospheric detection is designed by using the principle of panoramic imaging. Compared to the traditional ones, this optical system can observe nadir view and omnidirectional limb view at the same time, thus improving the efficiency and accuracy of the observation data inversion. The optical system consists of a front lens… (More)

- Xiaoheng Wang, Yu Li, Hong Lu, Shigong Wang
- Journal of environmental sciences
- 2016

A simulated climate warming experiment was conducted to evaluate the combined effects of elevated temperature and CO2 concentration on the bioaccumulation, translocation and subcellular distributions of Cd and Zn in wheat seedlings (Triticum aestivum L. cv. Xihan 1.) at Dingxi, Gansu Province, China. The objective was to find evidence that global climate… (More)

We extend Atanassov’s methods for Halton sequences in two different directions: (1) in the direction of Niederreiter (t,s)−sequences, (2) in the direction of generating matrices for Halton sequences. It is quite remarkable that Atanassov’s method for classical Halton sequences applies almost “word for word” to (t,s)−sequences and gives an upper bound quite… (More)

In this note, we provide a complete proof of the results presented by E. Atanassov in a 2004 paper about the discrepancy of the Halton sequence. Our proof addresses an inaccuracy found in the original proof, and fills in some non-trivial gaps.

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