UNIFORM BLOW-UP PROFILES FOR HEAT EQUATIONS WITH COUPLING NONLOCAL SOURCES OF ASYMMETRIC MIXED TYPE NONLINEARITIES

This article deals with a nonlocal heat system subject to null Dirichlet bound- ary conditions, where the coupling nonlocal sources consist of mixed type asymmetric non- linearities. We at first give the criterion for simultaneous blow-up of solutions, and then establish the uniform blow-up profiles of solutions near the blow-up time. It is observed that not only the simultaneous blow-up rates of the two components u and v are asymmet- ric, but also the blow-up rates of the same component u （or v） may be in different levels under different dominations.

Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms

This paper deals with the blow-up properties of the solution to a semilinear parabolic system with localized nonlinear reaction terms, subject to the null Dirichlet boundary condition. We first give sufficient conditions for that the classical solution blows up in the finite time, secondly give necessary conditions and a sufficient condition for that two components blow up simultaneously, and then obtain the uniform blow-up profiles in the interior. Finally we describe the asymptotic behavior of the blow-up solution in the boundary layer.

Catabolic Response Profiles, Catabolic Uniformity and Richness as Microbiological Indicators in a Soil of Pergamino, Buenos Aires Province, with and without Previous Application of Glyphosate

Incubation assay in trays was performed with two soils with different application histories of glyphosate: no application, and previous application. The soils used were Typic Argiudolls of Pergamino, province of Buenos Aires, and the treatments were: control (no application), and 20, 200 and 2000 mg of active ingredient per kg of soil. Sampling was performed at the beginning (T0) and 45 days after (T45). Catabolic response profiles (CRP), catabolic richness and catabolic uniformity were determined according to the methodology based on measuring the differences in respiration induced by substrate in a short time (4 hours). The substrates used in this study were 20, namely, two amines, 5 aminoacids, two carbohydrates, and 11 carboxylic acids. The objective of this work was to compare soils with different histories of application of glyphosate, measuring its effect on catabolic response profiles, catabolic uniformity and catabolic richness. In this study, no differences were observed between catabolic richness among the different sampling times and doses of glyphosate applied. Glyphosate application affected the structure of the soil microbial communities. At the end of the test, soils with all doses of previous herbicide application showed greater catabolic uniformity than soils without previous application.

Inverse approach to determine piston profile from impact stress waveform on given non-uniform rod

An essential problem in the design of mechanical impact systems is the impact of a piston on a rod. The impact of a semi finite cylindrical piston on a non uniform rod was studied. Based on wave mechanics and characteristic line theory, an inverse numerical approach to determine the piston profile was proposed, by means of which the geometry of an impact piston may be determined from the given stress waveform for a given rod profile. Numerical results show that the given stress waveform may be produced by means of the alternatives of design of piston and rod. There is good agreement between the experimental results and numerical results. [

Blow-up rate and profile for a class of quasilinear parabolic system

This paper deals with positive solutions to a class of nonlocal and degenerate quasilinear parabolic system with null Dirichlet boundary conditions. The blow-up rate and blow-up profile are gained if the parameters and the initial data satisfy some conditions.

Uniform blow-up rate for compressible reactive gas model

The Dirichlet initial-boundary value problem of a compressible reactive gas model equation with a nonlocal nonlinear source term is investigated. Under certain conditions, it can be proven that the blow-up rate is uniform in all compact subsets of the domain, and the blow-up rate is irrelative to the exponent of the diffusion term, however, relative to the exponent of the nonlocal nonlinear source.

Uniformity of Precipitation and Radial Profile of the Super 10 Sprinkler at Different Operating Pressures

The study aimed to evaluate the effect of operating parameters of the sprinkler Super 10, manufactured by NaanDanJain, with green, yellow and blue nozzles on the hydraulic characterization, so that this information can contribute to a better dimensioning of systems and management of irrigated areas. For the determination of UC and UD the radial method was used and with the aid of computer application CATCH 3D the overlapping of water slides with ten spacings was calculated. The results demonstrate that the mechanism used for the fractionation of the water jet of sprinkler Super 10 is efficient because it presented good uniformity of water distribution and low amplitude of precipitation. For high uniformity of distribution of water in the larger wetting radii, it is recommended to work with Super 10 sprinkler using the green nozzle, with a pressure of 40 mH2O and spacing between sprinklers and lateral lines 12 × 12 m.

Uniform Blow-up Behavior for Degenerate and Singular Parab olic Equations

This paper deals with the degenerate and singular parabolic equations coupled via nonlinear nonlocal reactions, subject to zero-Dirichlet boundary conditions. After giving the existence and uniqueness of local classical nonnegative solutions, we show critical blowup exponents for the solutions of the system. Moreover, uniform blow-up behaviors near the blow-up time are obtained for simultaneous blow-up solutions, divided into four subcases.

钛合金型材热张力矫形过程温度均匀性控制研究

钛合金型材截面形状复杂,热挤压后由于截面各处散热不均,易产生扭拧、弯曲等形状缺陷,矫形难度大。热张力矫形是实现钛合金型材矫形的最有效方式,而矫形过程中型材温度的均匀性控制是实现高精度矫形的关键。以TA15钛合金薄壁锐角L型材为研究对象,研究了加热及冷却过程中型材截面各处温度的分布规律。结果表明,钛合金型材热张力矫形时,加热过程中随着加热温度的升高,型材头部、中部、尾部的温差逐渐增大,中部温度高于两端,加热至设定温度700℃时温差达50℃。冷却过程中,型材同一截面其边部温降较角部快,最高温差达100℃,随着冷却温度的降低,这种温差逐渐减小。在钛合金型材热张力矫形时,加热到设定温度后持续通电约2 min,冷却过程中用石棉布包裹型材可有效提高温度的均匀性,实现高精度矫形。

湿法刻蚀条件对TFT中Cu电极坡度角和均一性的影响及工艺参数优化

目的 在高世代薄膜晶体管(Thin Film Transistor,TFT)产线的栅极刻蚀制程,明确大气压等离子体(Atmosphere Pressure Plasma,APP)清洗功率、清洗时间及刻蚀时间对刻蚀性能(关键尺寸偏差、均一性、坡度角)的影响规律,并获得最佳工艺条件,进而提升良率。方法 以APP清洗功率、清洗时间和刻蚀时间为影响因素,以关键尺寸偏差(CD Bias)、均一性、坡度角作为因变量,开展正交试验,明确因素影响重要性顺序;然后,对Cu电极坡度角的形成和刻蚀均一性变化进行分析;最后,采用回归分析获得刻蚀性能与刻蚀时间的函数关系式。结果 结果表明:刻蚀时间对刻蚀性能的影响最大,对APP清洁时间和功率的影响较小。刻蚀时间延长,关键尺寸偏差(CD Bias)增加、均一性变差、坡度角变大。为改善均一性和平缓坡度角,应缩短刻蚀时间。最佳工艺组合为:刻蚀时间85 s,APP电压9 kV,APP传输速度5 400 r/min。结论 刻蚀时间延长,未被光刻胶覆盖的Cu膜层被完全刻蚀,形成台阶,该台阶使刻蚀液形成回流路径。沿着回流路径,刻蚀液浓度、温度逐渐下降,刻蚀均一性由此恶化,坡度角因此增加。采用回归分析得到的刻蚀性能与刻蚀时间的函数关系式,为预测刻蚀效果和优选刻蚀时间提供了依据。

基于形函数的非一致网格接触修形新方法

针对接触压力分布不均导致机械零部件过早失效的问题,提出了一种非一致网格接触修形新方法。基于单元形函数和“虚拟节点”建立了非一致网格接触节点之间的力学关系,推导得到了节点修形量与接触压力之间的数学方程,提出了一种通过最小化最大接触压力求解修形量的极小极大模型,并根据其数学特点将该模型转换为线性规划模型,提高了修形量计算的效率和全局收敛性。通过三个弹性接触修形实例,验证了该方法对一般弹性接触修形问题的适用性和有效性。

铂电极的电感耦合等离子体刻蚀工艺研究

铂(Pt)金属因其特有的优良性能被广泛用作电极材料,干法刻蚀是获得器件图形的关键工艺技术,另外为了避免使用有毒性的Cl_(2),本文采用Ar/BCl_(3)作为刻蚀工艺气体,光刻胶作为刻蚀掩膜,对Pt电极材料做了干法刻蚀工艺的研究,系统地分析了电感耦合等离子体源功率、射频偏压功率、气体流量比例、工艺气压以及基板温度对刻蚀速率和刻蚀形貌的影响。得到刻蚀速率为159.7 nm/min,侧壁角度为63°,片内刻蚀速率均匀性(152.4 mm、5个点、边缘去边5 mm)为±1.75%,关键尺寸损失量小于1%的刻蚀结果。

Global existence and blow-up of solutions to reaction-diffusion system with a weighted nonlocal source

In this paper,we study a semi-linear reaction-diffusion system with a weighted nonlocal source,subject to the null Dirichlet boundary condition.Under certain conditions,we prove that the classical solution exists globally and blows up in finite time respectively,and then obtain the uniform blow-up rate in the interior.

A Computer Method of Steady Non-Uniform Gradually Varied Flow in Open Channel & in River

Most of water flow in open channel or in river belongs to steady non-uniform flow. The surface profiles are caused by changes of channel section. It is very important to analyze its computation. According to the regularity of its surface change, the suitable sectional dimensions of open channel or flood control work can be designed. Commonly, computation of non-uniform flow adopts the traditional methods by hand or by graphic method. The speed and precision of computation are restricted. In this paper, a software to calculate water surface profile is introduced. The software is put forward by using C++ .By means of interpolate method and dialogue between user and computer, we can calculate the water surface profile much more quickly and exactly.

涂装喷涂仿形制作和应用全过程质量控制

主要介绍了涂装新车型油漆外观调试过程中外表面车身机器人喷涂仿形制作流程,从工艺策划和设计、工艺实施、实物状态等全过程进行了介绍,包括车身喷涂均匀性和车身喷涂难点问题等.

基于光纤监测的段内多簇压裂效果主控因素研究

水平井分段多簇压裂是非常规油气效益开发的必备技术之一,明确段内多簇裂缝起裂规律与流体分流主控因素对优化分段分簇方案至关重要。本文针对一口典型分段多簇压裂水平井,首先获取各射孔簇处测井原始数据和测井解释数据,接着基于分布式光纤监测技术,反演段内段内各裂缝起裂顺序、进液比例和产液比例等数据,将测井数据与光纤监测数据进行对比分析,确定影响段内多簇压裂效果的主控因素。结果表明:低水平最小主应力、高脆性指数的射孔簇优先开启;影响前置液比例的测试数据中最关键4个因素分别是:气测数据>中子数据>伽玛数据>声波数据;影响携砂液比例的测试数据中最关键4个因素分别是:气测数据>中子数据>伽玛数据>声波数据;影响产液比例的关键因素是总液分配比和φ×S_(o)。本文研究成果对制定水平井分段分簇压裂方案具有一定的指导意义。

深海上层声速剖面水平非均匀分布对声场会聚区特性预报的影响

针对深海上层声速剖面水平方向弱变化对声场会聚区特征的影响,通过对0°出射声线传播轨迹的分析,提出了只考虑声源及会聚区位置附近声速剖面水平变化实现深海声场会聚区特征准确预报的方法,该方法有助于降低深海声传播调查时声速剖面水平非均匀分布的测量工作量。通过模拟小振幅内波引起深海上层声速剖面水平非均匀变化,对该方法进行了仿真验证。南海声传播试验数据分析表明,当不考虑上层声速剖面的水平非均匀分布时,模型预报的声场会聚区位置及会聚区能量分布与实测结果有一定差异,该差异具有距离累积效应,到第二会聚区时位置累计误差可达3 km,当考虑会聚区宽度内声速剖面水平变化时,模型预报的声场会聚区位置与实测结果非常吻合,第二会聚区位置预报误差小于1 km。

基于尺寸渐变超表面宽带高增益低剖面天线

设计了一种基于尺寸渐变超表面的宽带高增益低剖面天线,该天线由双层超表面和一层微带缝隙组合而成。双层超表面由分别印刷在2个介质板上的尺寸渐变六边形阵列贴片组成,贴片之间存在非等距间隙。超表面单元尺寸渐变设计能够使天线产生多个邻近的谐振点,从而展宽带宽。通过改变超表面天线尺寸结构,分析天线的宽带辐射特性。为获得最佳宽带性能,采用遗传算法优化天线几何参数。制作并测试了一款边长为43.3 mm,厚度为4.853 mm的样本天线用于验证仿真结果。实测结果显示,该天线-10 dB阻抗带宽达到了54%(3.99~6.93 GHz),最高增益达到12.05 dB,在4~6 GHz范围内增益保持在8 dB以上。该天线实现了宽频带、高增益、低剖面的特点,适用于宽带高速率无线通信的诸多领域。

Profiles of Blow-up Solutions for the Gross-Pitaevskii Equation

This paper is concerned with the blow-up solutions of the Cauchy problem for Gross-Pitaevskii equation.In terms of Merle and Raphёel＇s arguments as well as Carles＇ transformation,the limiting profiles of blow-up solutions are obtained.In addition,the nonexistence of a strong limit at the blow-up time and the existence of L2 profile outside the blow-up point for the blow-up solutions are obtained.

自激振荡流热管非均匀截面强化传热实验研究

本文对自激振荡流热管的传热特性及强化传热手段进行了分析,并利用高热流连续激光作为加热手段,通过改变激光器的输出功率,对等截面和非均匀截面自激振荡流热管的传热特性进行了对比实验研究。实验结果表明,非均匀截面自激振荡流热管在满足一定的前提条件下,可以明显地起到强化传热的作用。