THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THERMOMECHANICAL CUCKER-SMALE-STOKES EQUATIONS IN THE WHOLE DOMAIN

We study the global existence and uniqueness of a strong solution to the kinetic thermomechanical Cucker-Smale(for short,TCS) model coupled with Stokes equations in the whole space.The coupled system consists of the kinetic TCS equation for a particle ensemble and the Stokes equations for a fluid via a drag force.In this paper,we present a complete analysis of the existence of global-in-time strong solutions to the coupled model without any smallness restrictions on the initial data.

Existence of Entropy Solution for Degenerate Parabolic-Hyperbolic Problem Involving p(x)-Laplacian with Neumann Boundary Condition

We consider a strongly non-linear degenerate parabolic-hyperbolic problem with p(x)-Laplacian diffusion flux function. We propose an entropy formulation and prove the existence of an entropy solution.

Existence of Solutions of a Convolution Integral Equation

In this study, we prove the of existence of solutions of a convolution Volterra integral equation in the space of the Lebesgue integrable function on the set of positive real numbers and with the standard norm defined on it. An operator P was assigned to the convolution integral operator which was later expressed in terms of the superposition operator and the nonlinear operator. Given a ball Br belonging to the space L it was established that the operator P maps the ball into itself. The Hausdorff measure of noncompactness was then applied by first proving that given a set M∈ B r the set is bounded, closed, convex and nondecreasing. Finally, the Darbo fixed point theorem was applied on the measure obtained from the set E belonging to M. From this application, it was observed that the conditions for the Darbo fixed point theorem was satisfied. This indicated the presence of at least a fixed point for the integral equation which thereby implying the existence of solutions for the integral equation.

Global Existence of the Solution for a Reduced Model of the Vectorial Quantum Zakharov System

In this paper, we study the global existence of the smooth solution for a reduced quantum Zakharov system in two spatial dimensions. Using energy estimates and the logarithmic type Sobolev inequality, we show the global existence of the solution to this system without any small condition on the initial data.

Global Existence and Decay of Solutions for a Class of a Pseudo-Parabolic Equation with Singular Potential and Logarithmic Nonlocal Source

This article investigates the well posedness and asymptotic behavior of Neumann initial boundary value problems for a class of pseudo-parabolic equations with singular potential and logarithmic nonlinearity. By utilizing cut-off techniques and combining with the Faedo Galerkin approximation method, local solvability was established. Based on the potential well method and Hardy Sobolev inequality, derive the global existence of the solution. In addition, we also obtained the results of decay.

Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function

This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones and iterative technique.

^(60)Co-γ射线对不同无花果品种一年生枝条的辐射效应分析

【目的】研究^(60)Co-γ射线对不同无花果品种一年生枝条死亡率、抗氧化酶活性等相关理化指标的影响,确定最佳辐射诱变剂量,为利用^(60)Co-γ射线辐射诱变技术提高无花果遗传多样性、创造新种质、培育优良新品种提供科学依据。【方法】以无花果品种布兰瑞克和中华紫果一年生休眠枝为试材,采用^(60)Co-γ射线为辐照源,设置不同剂量0、30、45、60、75 Gy的辐射处理,分析辐照引起枝叶死亡率、酶活性等变化。【结果】随着辐射剂量的增加,2个无花果品种扦插苗成活率呈下降趋势,株高、茎粗、节间长度、叶片长度、叶片宽度和分枝数指标呈下降趋势,叶片长宽比差异不显著。中华紫果品种的SOD、POD、CAT等酶活性均呈现先增后减的趋势,分别在45、60 Gy剂量时达到峰值,MDA含量呈现一直上升趋势,H_(2)O_(2)含量呈现先增后降趋势。布兰瑞克品种的SOD、POD、CAT酶活性,随着辐射剂量的增加均呈现先降后增趋势。MDA、H_(2)O_(2)含量基本保持上升趋势。【结论】辐射导致无花果扦插苗幼苗生长缓慢、株高矮化、茎粗变细、叶片变小、分枝减少。中华紫果的半致死辐射剂量为56 Gy,布兰瑞克为70 Gy,布兰瑞克对辐射的耐受性高于中华紫果。

镁合金表面热喷涂WC-10Co-4Cr粒子沉积及分布特性

为了探究高速空气燃料热喷涂(activated combustion-high velocity air fuel,AC-HVAF)过程中喷涂粒子撞击基材后的沉积特性。采用AC-HVAF热喷涂技术在AZ80镁合金基体上沉积WC-10Co-4Cr硬质涂层。通过离散沉积实验获得薄层沉积粒子,探讨各种沉积形貌的种类、形成原因、结合机制及射流中粒子的径向和轴向分布。结果表明:在AC-HVAF粒子沉积过程中,嵌入型沉积为主要的沉积形貌,同时包含少量的破碎型与空腔型沉积粒子。在涂层的形成过程中,嵌入型沉积对涂层/基体结合性能起重要作用;空腔型沉积的小颗粒及破碎型沉积的大颗粒是造成沉积效率下降的主要原因。喷涂粒子主要集中在射流中心,越靠近射流边缘,空腔型沉积粒子越多,最终导致AC-HVAF粒子射流呈现出空间分布特征。

^(60)Co-γ辐射对2种锦带幼苗生长及生理指标的影响

为了探究辐射诱变对“白花锦带花”和“锦带花”形态及生理特性的影响,采用不同剂量(0~300 Gy)的^(60)Co-γ射线辐射“白花锦带花”与“锦带花”休眠期种子,观测辐射对锦带花生长的影响,测定其生长量及幼苗叶片的叶绿素含量、叶绿素荧光指标、光合作用参数、SOD、POD、MDA和可溶性蛋白含量。研究结果显示,由于辐射剂量的增大,苗高、叶长、叶宽、节间距、叶绿素荧光、光合作用参数、SOD活性、POD活性出现了明显的先升高后降低的趋势,在50 Gy时到达了峰值。同时,随着辐射剂量的增加,叶绿素含量和可溶性蛋白含量呈现出下降的趋势,MDA含量明显升高。综上所述,在(2 Gy/min)剂量率的辐射条件下“白花锦带花”种子较适宜的诱变剂量为50 Gy,而“锦带花”以50~100 Gy最合适。

不同剂量^(60)Co-γ射线辐照藜麦种子的效应研究

为了研究^(60)Co-γ射线辐照在藜麦育种中的应用,探讨^(60)Co-γ射线辐射诱变藜麦的适宜剂量,本研究利用4种剂量^(60)Co-γ辐射4个不同藜麦品种,对辐射后的种子进行室内发芽试验和田间种植试验,并对M1代的生育过程、畸变率、突变率进行了调查和分析。结果表明,经过150~450 Gy的辐照剂量处理后,藜麦的形态特征和生长表现出显著变化;发芽率呈先上升后下降的趋势,150 Gy剂量可促进种胚活力,250 Gy以上剂量显著降低发芽率;辐射导致出苗延迟,高剂量下甚至无法正常出苗,出苗率也显著降低,表明辐射对幼苗生长产生负面影响;成株率随辐射剂量增加而下降,幼苗自然枯死增多,说明辐射对发芽种子胚芽的继续发育抑制显著;辐射导致遗传变异,包括早熟、矮化、穗颜色等方面,突变频率随剂量增加而增加。综上可知,藜麦的生长、发芽、出苗、成株等受到辐射剂量影响,适度辐射可促进发芽,但高剂量对生长和遗传特性产生负面效应。本研究对于辐射育种的可行性和作物改良意义重大,但需深入研究其机制和应用潜力。

^(60)Co-γ射线辐照灭菌对牡丹皮质量影响的多元评价研究

为考察^(60)Co-γ射线辐照灭菌对牡丹皮质量的影响,本研究采用不同吸收剂量(0、5、10、20、30 kGy)^(60)Co-γ射线辐照处理试验样品,比较辐照前后样品微生物负载变化、高效液相色谱(HPLC)指纹图谱相似度、水提物抑菌活性的变化,并建立牡丹皮近红外光谱一致性评价模型。结果表明,当吸收剂量为5 kGy时即可让微生物负载超标样品中的需氧菌总数、霉菌和酵母菌总数及耐胆盐革兰阴性菌数量降至标准规定(《美国药典》USP-NF2023)以下;随着吸收剂量的增加,牡丹皮样品指纹图谱相似度呈下降趋势;辐照后样品水提物对金黄色葡萄球菌的抑菌圈直径与未辐照相比无显著差异(P>0.05);采用近红外光谱一致性评价模型能够较好地区分辐照与未辐照样品。鉴于不适宜的^(60)Co-γ射线辐照剂量可能会对牡丹皮质量造成一定影响,建议牡丹皮的辐照吸收剂量不超过5 kGy。本研究结果可为牡丹皮辐照灭菌吸收剂量的选取提供参考依据。

不同^(60)Co-γ辐射剂量对月季仙境、北京红、金凤凰生长和开花的影响

为研究物理辐射对3个月季品种扦插苗的影响,利用0、10、20、40、60、80 Gy剂量的^(60)Co-γ对仙境、北京红、金凤凰月季扦插苗进行辐射处理,测定和分析处理后月季苗的形态指标、突变率、死亡率和半致死率等。结果表明,随着辐射剂量增加,3个月季品种的扦插苗的株高、冠幅、侧枝数、侧枝长度、复叶长、复叶宽随之降低,其中仙境和北京红在10 Gy辐射剂量下生长势最好,而金凤凰在20 Gy生长势最好。供试植株的死亡率随着辐射剂量增加而增加,仙境在10和20 Gy处理下死亡率较低且花色变异较多。仙境、北京红、金凤凰的半致死剂量分别为53、132、19.87 Gy。仙境在10 Gy辐射剂量下突变率最高达31.67%,产生了白色、水粉色、嫩粉色、粉白相间等多种花色突变;金凤凰在10 Gy剂量下花瓣边缘有缺裂,在20 Gy辐射剂量下花瓣边缘深裂、反卷;北京红在10 Gy剂量下有花瓣数量明显增加,花型为千重瓣。综上所述,^(60)Co-γ辐射剂量10和20 Gy有利于促进供试植株的生长,同时产生新的变异花色和新花型。本研究结果为月季的良种选育和新品系培育提供了参考。

^(60)Co-γ辐照对卵清蛋白糖基化体系结构和糖基化产物的影响

为探究^(60)Co-γ辐照对糖基化体系结构和糖基化产物的影响,以卵清蛋白(OVA)-葡萄糖体系为研究对象,经0,25,50,75,100 kGy的^(60)Co-γ辐照后,采用SDS-PAGE、荧光光谱、圆二色谱测定其分子质量、三级结构及二级结构的变化。借助高效液相色谱法、紫外光谱法测定其体系内产生的有害糖基化产物(果糖胺、丙烯酰胺、荧光性AGEs、戊糖素、类黑精)的含量。OVA分子质量和表面疏水性的增加、内源荧光强度和α-螺旋含量的降低、β-结构(β-折叠和β-转角)含量的增加表明,^(60)Co-γ辐照呈剂量依赖性,促进了OVA与葡萄糖的糖基化反应。此外,^(60)Co-γ辐照后体系内产生的果糖胺、丙烯酰胺的含量呈现先上升后下降的趋势,在辐照剂量为50 kGy时达到最大值。荧光性AGEs、戊糖素、类黑精的含量以剂量依赖性方式增加。综合来看,为了减少辐照加工过程中蛋制品内有害糖基化产物的含量,提高其安全性,需将^(60)Co-γ辐照的剂量控制在25 kGy以内。本研究结果为未来扩展食品辐照技术在蛋制品方面的应用提供一定的科学依据。

^(60)Co-γ射线辐照对雪茄烟叶发酵微生物和代谢物变化及烟叶质量的影响

【目的】通过^(60)Co-γ射线辐照灭菌,明确微生物在雪茄烟叶发酵过程中的重要作用。【方法】以四川雪茄烟品种德雪1号为试验材料,以剂量10 kGy的^(60)Co-γ射线对发酵前烟叶进行辐照处理,测定分析发酵过程中烟叶微生物多样性、代谢组学、中性香气成分和常规化学成分含量。【结果】(1)辐照组烟叶发酵28 d样本经传统分离培养和Illumina MiSeq高通量测序均未发现细菌群落。(2)非靶向代谢组学结果显示,辐照组烟叶发酵28 d后芸香苷、根皮苷和山奈酚等多酚类物质,山奈酚-3-O-芸香糖苷等多酚糖苷类物质,二肽等含量高于未辐照组烟叶,而亮氨酸、L-丝氨酸和脯氨酸等氨基酸含量低于未辐照烟叶。KEGG富集差异显著的代谢通路是黄酮和黄酮醇生物合成通路与花生四烯酸代谢通路。(3)发酵28 d后,两组烟叶的生物碱、还原糖、总糖、淀粉和蛋白质含量均显著降低,辐照组烟叶发酵前后各指标的降幅小于未辐照烟叶。辐照组烟叶发酵28 d后中性香气成分总量显著低于未辐照烟叶,而棕色化反应产物总量显著增加,烟叶劲头、杂气、刺激性更大。【结论】对发酵前烟叶进行10 kGy^(60)Co-γ射线辐照可有效杀灭烟叶细菌,发酵28 d后大分子物质降解转化低于未辐照烟叶,感官质量增加幅度减小,但相比于发酵前仍有一定程度的改善。

THE EXISTENCE OF WEAK SOLUTIONS AND PROPAGATION REGULARITY FOR A GENERALIZED KDV SYSTEM

This paper examines the existence of weak solutions to a class of the high-order Korteweg-de Vries(KdV)system in Rn.We first prove,by the Leray-Schauder principle and the vanishing viscosity method,that any initial data N-dimensional vector value function u0(x)in Sobolev space H^(s)(R^(n))(s≥1)leads to a global weak solution.Second,we investigate some special regularity properties of solutions to the initial value problem associated with the KdV type system in R^(2)and R^(3).

THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FULL NAVIER-STOKES-KORTEWEG SYSTEM OF VAN DER WAALS GAS

The aim of this work is to prove the existence for the global solution of a nonisothermal or non-isentropic model of capillary compressible fluids derived by J.E.Dunn and J.Serrin(1985),in the case of van der Waals gas.Under the small initial perturbation,the proof of the global existence is based on an elementary energy method using the continuation argument of local solution.Moreover,the uniqueness of global solutions and large time behavior of the density are given.It is one of the main difficulties that the pressure p is not the increasing function of the densityρ.

^(60)Co-NTG复合诱变选育丁烯基多杀菌素高产菌株及其杀虫活性

为获得稳定高产的丁烯基多杀菌素生产菌株并明确其对农业害虫的杀灭效果,以前期研究获得的须糖多孢菌Saccharopolyspora pogona ASAGF19为初始菌株,通过^(60)Co-γ射线和亚硝基胍复合诱变得到1株遗传性状稳定的高产突变株ASAGF30A11,较初始菌株产量提高了61.26%,3次传代产量变化幅度小于10.00%。对高产菌株发酵液进行分离纯化获得了丁烯基多杀菌素粗品,配制成1.5 g/L浓度的母液进行稀释,对蓟马、蚜虫以及小菜蛾进行室内毒力测定,得出其对3种供试害虫的LC_(50)分别为1.92 mg/L、1.23 mg/L和0.27 mg/L。经过比较,丁烯基多杀菌素对蓟马的杀灭效果优于多杀菌素(LC_(50)为0.57 mg/L)和乙基多杀菌素(LC_(50)为0.64 mg/L);对蚜虫的杀灭效果优于多杀菌素(LC_(50)为72.60 mg/L),低于阿维菌素(LC_(50)为0.14 mg/L);对小菜蛾的杀灭效果优于多杀菌素(LC_(50)为2.87 mg/L),低于乙基多杀菌素(LC_(50)为0.05 mg/L)。本研究首次探索了^(60)Co-γ射线和亚硝基胍复合诱变对须糖多孢菌的影响,并获得了丁烯基多杀菌素对3种农业害虫的防效,为新型生物杀虫剂对农业害虫的防治提供了一些理论依据。

The existence of radial k-admissible solutions for n-dimension system of k-Hessian equations

In this paper,we focus on a general n-dimension system of k-Hessian equations.By introducing some new suitable growth conditions,the existence results of radial k-admissible solutions of the k-Hessian system are obtained.Our approach is largely based on the well-known fixed-point theorem.

THE EXISTENCE AND MULTIPLICITY OF k-CONVEX SOLUTIONS FOR A COUPLED k-HESSIAN SYSTEM

In this paper,we focus on the following coupled system of k-Hessian equations:{S_(k)(λ(D^(2)u))=f_(1)(|x|,-v)in B,S_(k)(λ(D^(2)v))=f2(|x|,-u)in B,u=v=0 on■B.Here B is a unit ball with center 0 and fi(i=1,2)are continuous and nonnegative functions.By introducing some new growth conditions on the nonlinearities f_(1) and f_(2),which are more flexible than the existing conditions for the k-Hessian systems(equations),several new existence and multiplicity results for k-convex solutions for this kind of problem are obtained.

Effect of existence state of asphaltenes on the asphaltenes-wax interaction in wax deposition

Asphaltenes are the most elusive substances in waxy crude oil,especially the complex structures,which leads to significant precipitation and aggregation characteristics of asphaltenes,and affects the asphaltenes-wax interaction.In this study,the concept of the existence state of asphaltenes was introduced to semi-quantitatively investigate the precipitation and aggregation characteristics of asphaltenes.On this basis,the influence of the existence state of asphaltenes on wax deposition was studied by coldfinger device and high-temperature gas chromatography,and the composition and properties of the deposits were analyzed.Four main findings were made:(1)As the asphaltene concentration increases,the existence state of asphaltenes gradually transitions from dispersed state to aggregated state,and the asphaltene concentration of 0.30 wt%in this study is the starting point of the transition.(2)The existence state of asphaltenes in crude oil does affect the process of wax deposition,as shown in the fact that the dispersed asphaltenes promote the occurrence of wax deposition,while the aggregated asphaltenes can inhibit wax deposition.(3)In the presence of the aggregated asphaltenes,that is,when the asphaltene concentration is higher than 0.30 wt%,the shedding phenomenon of deposit layer was observed,and with the increase of aggregated asphaltenes,the deposit layer fell off earlier.(4)With the increase of the dispersed asphaltenes,the wax appearance temperature(WAT)and wax content of the deposits all showed an increasing trend,while with the appearance of the aggregated asphaltenes,the above situation was reversed.The findings of this study can help for better understanding of the interaction between the asphaltenes and wax in wax deposition.