CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET

This paper is devoted to the study of the shape of the free boundary for a threedimensional axisymmetric incompressible impinging jet.To be more precise,we will show that the free boundary is convex to the fluid,provided that the uneven ground is concave to the fluid.

Spatio-temporal Characteristics of Atmospheric Pollution and Cause Analysis of Haze Events in Sichuan Basin,China

This study analyzed the spatio-temporal variability of air quality data for six standard air pollutants(Particulate Matter 2.5(PM2.5),Particulate Matter 10(PM10),SO2,NO2,CO,and O3)in the Sichuan Basin(SCB),China from 2015 to 2018 in relation to the formation of haze using conventional meteorological data(temperature,wind speed,and relative humidity),satellite data(fire point data,vertical profiles of aerosol subtypes,and aerosol optical depth),planetary boundary layer height,and backward trajectories.The results indicated that the spatio-temporal evolution of the air quality index(AQI)had notable seasonality for the pollution severity in descending order:winter,spring,summer,and autumn.Autumn and winter severe haze events occurred in November and January,respectively,and were caused by higher local pollution emissions under stagnant air conditions.Spring severe haze events occurred in May and were caused by dust from Northwest China and local regions.Severe summer haze events occurred in July and were caused by local burning.Therefore,the analyses showed that local burning,stagnant meteorological conditions,air mass transport and anthropogenic pollution emissions played a key role in haze in the SCB.This study provides scientific insights for fully analyzing heavy air pollution in SCB,China,and also provides a scientific basis for pollution research in regions of complex terrain as basins and mountains.

GLOBAL REGULARITY OF 2D INCOMPRESSIBLE MAGNETO-MICROPOLAR FLUID EQUATIONS WITH PARTIAL VISCOSITY

This paper studies the global regularity of 2D incompressible anisotropic magnetomicropolar fluid equations with partial viscosity. Ma [22](Ma L. Nonlinear Anal: Real World Appl, 2018, 40: 95–129) examined the global regularity of the 2D incompressible magnetomicropolar fluid system for 21 anisotropic partial viscosity cases. He proved the global existence of a classical solution for some cases and established the conditional global regularity for some other cases. In this paper, we also investigate the global regularity of 12 cases in [22]and some other new partial viscosity cases. The global regularity is established by providing new regular conditions. Our work improves some results in [22] in this sense of weaker regular criteria.

Numerical simulation of fault activity owing to hydraulic fracturing

We built a three-dimensional model to simulate the disturbance of the stress field near the reverse fault in Zhaziao, Leyi Township owing to hydraulic fracturing. The pore pressure, and shear and normal stresses during fracturing are analyzed in detail. Input rock mechanics parameters are taken from laboratory test data of shale samples from the study area. The simulation results suggest that after 16 hours of fluid injection, the pore-pressure variation can activate the reverse fault, i.e., we observe reverse slip, and the shear stress and displacement on the fault plane increase with time. The biggest stress–strain change occurs after one hour of fluid injection and the yield point appears about 0.5 h after injection. To observe the stress evolution in each section, the normal displacement on the boundary is constrained and the fault plane is set as nonpermeable. Thus, the sliding is limited and the shear displacement is only in the scale of millimeters, and the calculated magnitude of the induced earthquakes is between Mw-3.5 and Mw-0.2. The simulation results suggest that fluid water injection results in inhomogeneous fracturing. The main ruptured areas are around the injection positions, whereas the extent of rupturing and cracks in other areas are relatively small. Nevertheless, nonnegligible fault activation is recorded. Sensitivity analysis of the key parameters suggests that the pore pressure is most sensitive to the maximum unbalanced force and the internal friction angle strongly affects the fault slip. Finally, the comparison between the effective normal stress and the maximum and minimum principal stresses on the fault plane explains the fault instability, i.e., the Mohr circle moves towards the left with decreasing radius reduces and intersects the critical slip envelope, and causes the fault to slip.

Surface wave attenuation based polarization attributes in time-frequency domain for multicomponent seismic data

In the paper, we propose a surface wave suppression method in time-frequency domain based on the wavelet transform, considering the characteristic difference of polarization attributes, amplitude energy and apparent velocity between the effective signals and strong surface waves. First, we use the proposed method to obtain time-frequency spectra of seismic signals by using the wavelet transform and calculate the instantaneous polarizability at each point based on instantaneous polarization analysis. Then, we separate the surface wave area from the signal area based on the surface-wave apparent velocity and the average energy of the signal. Finally, we combine the polarizability, energy, and frequency characteristic to identify and suppress the signal noise. Model and field data are used to test the proposed filtering method.

Tidal effects on intra-continental earthquake initiation in the Tibetan Plateau and its adjacent areas

To investigate the tidal effects on intra-continental earthquake initiation in the Tibetan Plateau and its surrounding areas,we selected over 1,500 focal mechanism solutions of inland earthquakes(epicenter locates at least 100 km to the coastlines)from Global Centroid Moment Tensor(GCMT)project and analyzed the values of tidal normal and shear stress as well as tidal Coulomb failure stress.For Coulomb failure stress calculation,we used Coulomb 3.40 software.We find that:(1)p-values of tidal stress change suggests a high tidal correlation of earthquake imitations with tidal normal stress change;(2)when tidal normal stress reached the local maximum values of compression and when tidal shear stress were closed to the positive peaks,earthquakes generated more frequently;(3)particular seismogenic environments such as strong continental plate interactions and the existence of fluids or rheologic substance possibly raise the tidal correlations and(4)higher sensitivity of earthquake initiation to earth tide presents along with higher seismicity,suggesting the rate of rain energy accumulation somehow has a dominating effect on the tidal correlation of earthquake initiation.

Quantitative prediction and evaluation of geothermal resource areas in the southwest section of the Mid-Spine Belt of Beautiful China

The geothermal resources in the southwest section of the Mid-Spine Belt of Beautiful China are abundant,but the quantitative prediction and evaluation of geothermal resources are very difficult. Based on geographic information system (GIS) and remote sensing (RS) platforms,six impact factors,namely land surface temperature,fault density,Gutenberg–Liszt B value,formation combination entropy,distance to river and aeromagnetic anomaly were selected. Through the establishment of the certainty factor model (CF),weights of the information entropy certainty factor model (ICF) and weights of the evidence certainty factor model (ECF),the geothermal potential in the study area were predicted quantitatively. Based on the ECF results,the six main geothermal resource areas were delineated. The results show that (1) ECF had high prediction accuracy (success index is 0.00405%,area ratio is 0.867);(2) The geothermal resource areas obtained were Ganzi–Ya’an–Liangshan,Panzhihua–Liangshan,Dali–Chuxiong,Nujiang–Baoshan,Diqing–Dali,and Lijiang–Diqing. The results provide a basis for the effective development and utilization of geothermal resources in the southwest section of the mid-ridge belt.

Nonexistence of Type Ⅱ Blowup for Heat Equation with Exponential Nonlinearity

This paper deals with the blowup behavior of the radially symmetric solution of the nonlinear heat equation ut = ?u + e^u in R^N. The authors show the nonexistence of type II blowup under radial symmetric case in the lower supercritical range 3 ≤ N ≤ 9,and give a sufficient condition for the occurrence of type I blowup. The result extends that of Fila and Pulkkinen(2008) in a finite ball to the whole space.

TO–YOLOX: a pure CNN tiny object detection model for remotesensing images

Remote sensing and deep learning are being widely combined in tasks such as urban planning and disaster prevention.However,due to interference occasioned by density,overlap,and coverage,the tiny object detection in remote sensing images has always been a difficult problem.Therefore,we propose a novel TO–YOLOX(Tiny Object–You Only Look Once)model.TO–YOLOX possesses a MiSo(Multiple-in-Singleout)feature fusion structure,which exhibits a spatial-shift structure,and the model balances positive and negative samples and enhances the information interaction pertaining to the local patch of remote sensing images.TO–YOLOX utilizes an adaptive IOU-T(Intersection Over Uni-Tiny)loss to enhance the localization accuracy of tiny objects,and it applies attention mechanism Group-CBAM(group-convolutional block attention module)to enhance the perception of tiny objects in remote sensing images.To verify the effectiveness and efficiency of TO–YOLOX,we utilized three aerial-photography tiny object detection datasets,namely VisDrone2021,Tiny Person,and DOTA–HBB,and the following mean average precision(mAP)values were recorded,respectively:45.31%(+10.03%),28.9%(+9.36%),and 63.02%(+9.62%).With respect to recognizing tiny objects,TO–YOLOX exhibits a stronger ability compared with Faster R-CNN,RetinaNet,YOLOv5,YOLOv6,YOLOv7,and YOLOX,and the proposed model exhibits fast computation.

A Quasilinear Parabolic System with Nonlocal Sources and Weighted Nonlocal Boundary Conditions

In this paper, we investigate the blow-up properties of a quasilinear reaction-diffusion system with nonlocal nonlinear sources and weighted nonlocal Dirichlet boundary conditions. The critical exponent is determined under various situations of the weight functions. It is observed that the boundary weight functions play an important role in determining the blow-up conditions. In addition, the blow-up rate estimate of non-global solutions for a class of weight functions is also obtained, which is found to be independent of nonlinear diffusion parameters m and n.

Global well-posedness for the 2D incompressible magneto-micropolar fluid system with partial viscosity

In this paper,we consider an initial-boundary value problem for the 2D incompressible magnetomicropolar fluid equations with zero magnetic diffusion and zero spin viscosity in the horizontally infinite flat layer with Navier-type boundary conditions.We establish the global well-posedness of strong solutions around the equilibrium(0,e1,0).