Growth rate analysis of scalar gradients in generalized surface quasigeostrophic equations of ideal fluids

The growth rates of scalar gradients are studied numerically and analytically in a family of two-dimensional (2D) incompressible fluid equations related to the surface quasigeostrophic (SQG) equation. The active scalar is related to the stream function ψ by θ=(−△)α/2ψ (0⩽α⩽2). A notable difference is observed in a comparison of the instantaneous growth rates in Lp and in L∞ norms, depending on the stage of the time evolution. The crux is the phase-shift effect of singular integral operators, which displaces the peak location of the scalar gradient from that of the strain rate. On this basis, a method of detecting such a dislocation is proposed in view of the importance of their coalescence needed for a possible blow-up. Moreover, it is found in the long-time evolution that a solution of the SQG equation (whose regularity is not known) is less singular than that of the 2D Euler equations (known to be regular) on the time interval covered by this computation. This consistently expands an earlier observation by Majda and Tabak [Physica D 98, 515 (1996).] in some detail. A 1D model problem is discussed to illustrate the present method, and extensions to the 3D case are also are briefly discussed

Fatigue life prediction of orthotropic steel deck strengthened with UHPC under stochastic traffic load

In recent years, the ultra-high performance concrete (UHPC) has been increasingly used to strengthen orthotropic steel decks (OSD) to solve the cracking problems at fatigue-prone details and pavement damage. In this paper, the fatigue life of a cable-stayed orthotropic steel decks bridge under stochastic traffic loads is calculated before and after the orthotropic steel decks strengthened with the ultra-high performance concrete layer. The traffic data of the real bridge for 1 week is first obtained based on the weigh-in-motion system. Then, a stochastic traffic load on the bridge is simulated for its service life by the Monte Carlo method. A fatigue life analysis framework, which includes the traffic load simulation, a refined finite element model, the S-N curve and Miner linear cumulative damage criterion, is proposed for fatigue life prediction of orthotropic steel decks. For the bridge before reinforcement, the predicting results for the fatigue life of three fatigue-prone details, including the scallop cutout, rib-to-diagram and rib-to-deck joint are basically consistent with that of the actual bridge inspection results. After strengthening by ultra-high performance concrete, the fatigue life of the three structural details are increased from 15.87, 13.89, and 32.26 years to more than 100 years, respectively, as compared with the original orthotropic steel decks structure

Rapid Changes of Photospheric Magnetic Field after Tether-Cutting Reconnection and Magnetic Implosion

The rapid, irreversible change of the photospheric magnetic field has been recognized as an important element of the solar flare process. This Letter reports such a rapid change of magnetic fields during the 2011 February 13 M6.6 flare in NOAA AR 11158 that we found from the vector magnetograms of the Helioseismic and Magnetic Imager with 12-min cadence. High-resolution magnetograms of Hinode that are available at ~-5.5, -1.5, 1.5, and 4 hrs relative to the flare maximum are used to reconstruct three-dimensional coronal magnetic field under the nonlinear force-free field (NLFFF) assumption. UV and hard X-ray images are also used to illuminate the magnetic field evolution and energy release. The rapid change is mainly detected by HMI in a compact region lying in the center of the magnetic sigmoid, where the mean horizontal field strength exhibited a significant increase by 28%. The region lies between the initial strong UV and hard X-ray sources in the chromosphere, which are cospatial with the central feet of the sigmoid according to the NLFFF model. The NLFFF model further shows that strong coronal currents are concentrated immediately above the region, and that more intriguingly, the coronal current system underwent an apparent downward collapse after the sigmoid eruption. These results are discussed in favor of both the tether-cutting reconnection producing the flare and the ensuing implosion of the coronal field resulting from the energy release.Comment: 7 pages, 5 figures, accepted to the Astrophysical Journal Letter

Analysis of the EGFR gene mutation in patients with nonsmall cell lung cancer in a Chinese population

Purpose: To investigate the epidermal growth factor receptor (EGFR) gene mutations and analyze their clinical significance in patients with non-small cell lung cancer (NSCLC) in Hubei province of China.Methods: A total of 138 paraffin embedded tissues were taken from patients with NSCLC who were treated at Hubei Hospital from January 2014 to June 2015. The tissue DNA was extracted and EGFR mutation was evaluated by polymerase chain reaction (PCR) sequencing analysis of exons 18, 19, 20, and 21.Results: The overall mutation rate of EGFR gene was 30.43 % (42/138) in 138 NSCLC patients. The mutation rates of EGFR gene at exon 18, 19, 20, 21 were 0 %（0/138), 13.8 %（19/138), 0.7 % (1/138) and 15.9 % (22/138), respectively. The mutation rate of EGFR gene was higher in female patients than that in males (62.2 % (28/45) vs 15.1 % (14/93), p < 0.01), and higher in non-smoking patients than in smoking ones (p < 0.05), but had no correlation with age in NSCLC patients (p > 0.05). EGFR mutation frequency in adenocarcinoma was higher than that in squamous cell carcinoma: 33.9 % (41/121) vs. 5.9 % (1/17, p < 0.05).Conclusion: EGFR mutations in NSCLC patients mainly exist in exons 19 and 21, and the mutation rate of exon 21 is higher than that of exon 19, which is more commonly found in female, adenocarcinoma and non-smoking patients.Keywords: Non-small cell lung cancer, Epidermal growth factor receptor (EGFR), Targeted therapy, Sequencin