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The Prandtl equation introduced by Prandtl in 1904 is a basic equation describling the behavior of the fluid near the boundary at high Reynolds number regime. In this talk, I will first introduce some...
In this talk, we present recent progress on holomorphic Morse inequalities. We first review the history and motivation. Then we introduce recent results on CR manifolds. Finally we give a uniform proo...
In this talk, I will describe an elliptic PDE that models electric conduction, and the electric field concentration phenomenon between closely spaced inclusions of high contrast. In the first part, I ...
We survey recent work on the elliptic curve discrete logarithm problem. In particular we review index calculus algorithms using summation polynomials, and claims about their complexity.
Recent Progress on de Finetti's Notions of Exchangeability.
Highly Tm-doped silicate glasses and fibers were developed, which exhibit a high slope efficiency of 68.3% and a gain per unit length of greater than 2dB/cm. Single frequency fiber lasers with laser l...
We describe recent developments in real-time digital signal processing for direct detection optical OFDM transceivers, including the optimization of high throughput FFT algorithms and receiver synchro...
Recent optical fiber refractive index profile measurement advances include quantitative phase measurement, multi-wavelength spectroscopy, and computerized tomography. These new techniques, and their a...
We survey some of the state of the art regarding singu-larities in Lagrangian mean curvature ow. Some open problems are suggested at the end.
This paper presents a review of recently acquired knowledge of the physico-chemical properties of mineral dust from Africa and Asia based on data and discussion during the Third International Dust Wor...
A new method for nuclear potentials is reviewed. The strategy to extract the potential from the Nambu-Bethe-Salpeter wave function in lattice QCD is explained and the first result based on the method ...
A new method for nuclear potentials is reviewed. The strategy to extract the potential from the Nambu-Bethe-Salpeter wave function in lattice QCD is explained and the first result based on the method...

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