Nonhomogeneous multiparameter problems in Orlicz–Sobolev spaces

This paper is concerned with the existence and multiplicity of solutions for a class of problems involving the Φ-Laplacian operator with general assumptions on the nonlinearities, which include both semipositone cases and critical concave convex problems. The research is based on the subsupersolution technique combined with a truncation argument and an application of the Mountain Pass Theorem. The results in this paper improve and complement some recent contributions to this field.     

Two positive nontrivial solutions for a class of semilinear elliptic variational systems

We obtain existence and localization results of positive nontrivial solutions for a class of semilinear elliptic variational systems. The proof is based on variants of Schechter's localized critical point theorems for Hilbert spaces not identified to their duals and on the technique of inverse-positive matrices. The Leray-Schauder boundary condition is also involved.     

泰山经石峪缓坡石坪片状剥落风化的几何特征

针对异径管的冲蚀失效问题,以管壁腐蚀产物保护膜为研究对象,主要研究流固耦合对管道 冲蚀破坏的作用机理. 建立流固耦合数理模型,推导出在任意拉格朗日-欧拉(Arbitrary Lagrange-Euler, ALE)描述下的黏性流体N-S方程和腐蚀产物保护膜固体区域的控制方程, 分析管壁边界层多相流介质流动与腐蚀产物保护膜破损之间的耦合作用. 以异径管冲蚀失效 为例,运用多物理场耦合软件,分析了异径管流体流向、结构和规格对保护膜变形的影响, 模拟结果表明：流向为``大进小出'的冲蚀较严重;偏心异径管比同心异径管冲蚀严重;两 端管径差越大,冲蚀越严重. 可为异径管的失效分析、优化设计和在役检验提供参考.     

裂隙岩体渗透系数确定方法研究

裂隙岩体渗透系数以及渗透主方向的确定对研究岩体渗透性大小及各向异性具有重要意义。高放废物地质处置库介质岩体的渗透性能将直接影响其使用安全性。本文运用离散裂隙网络模拟的方法对我国高放废物处置库甘肃北山预选区3#钻孔附近裂隙岩体进行了渗透性质分析。通过对3#钻孔1715～1780m段压水试验数据的反演,标定了离散裂隙网络渗流模型中的裂隙渗透参数(导水系数T)。利用标定的离散裂隙网络模型对场区裂隙岩体进行了渗流模拟,确定了该区域裂隙岩体的渗流表征单元体(REV)的尺寸大小以及渗透主值和主渗透方向。运用离散裂隙网络模型计算得出的渗透主值的几何均值与现场压水试验计算结果较接近,证明了计算结果的有效性。     

琅琊山景区不同叶绿素条件下树种叶片光谱差异分析

叶绿素含量高低反映植物健康状况,研究景区树种叶片叶绿素绝对值(SPAD)不同的光谱变化规律能为叶绿素高光谱监测波段识别与景区树种管理提供理论支撑。从琅琊山景区灌木和乔木类选取9个常见树种,探讨相同树种叶片SPAD值变化时的光谱差异,同时,横向对比相同SPAD值不同树种叶片的光谱特征,并深入分析不同树种叶片SPAD值与单波段原始光谱、光谱倒数、一阶微分、二阶微分及波段组合差值指数、归一化指数、比值指数、一阶微分归一化指数、一阶微分比值指数之间的关系。结果表明：9个所测树种叶片随着叶绿素SPAD值的升高,光谱变化规律各不相同,在可见光波段区分明显,总体上,光谱反射率最高的样本组SPAD值较低;叶绿素SPAD值相同时,在可见光波段,桂花较其余树种反射率整体较高; 在780~1 350 nm波段,广玉兰叶片反射率始终排前三,其余波段变化规律不明显;原始光谱反射率的二阶微分与海桐叶片SPAD值相关系数最大,一阶微分与其余8种相关性最高;与灌木、落叶乔木叶片SPAD值相关系数最大的光谱指数分别为差值指数、一阶微分归一化指数,与常绿乔木、不分树种相关系数最大的为一阶微分比值指数。     

Multiple positive solutions of a class of Schrödinger–Poisson equation involving indefinite nonlinearity in R3

In this paper, we study the existence of multiple positive solutions of Schrödinger–Poisson type equations with indefinite nonlinearity. Our main tool is the mountain pass theorem.     

Multiple positive solutions for a semilinear elliptic equation with critical Sobolev exponent

In this paper, we study a class of semilinear elliptic equations with Hardy potential and critical Sobolev exponent. By means of the Ekeland variational principle and Mountain Pass theorem, multiple positive solutions are obtained.     

A NOVEL METHOD OF FITTING SPATIO‐TEMPORAL MODELS TO DATA,WITH APPLICATIONS TO THE DYNAMICS OF MOUNTAIN PINE BEETLES

Abstract We develop a modular landscape model for the mountain pine beetle (Dendroctonus ponderosae Hopkins) infestation of a stage‐structured forest of lodgepole pine (Pinus contorta Douglas). Beetle attack dynamics are modeled using response functions and beetle movement using dispersal kernels. This modeling technique yields four model candidates. These models allow discrimination between four broad possibilities at the landscape scale: whether or not beetles are subject to an Allee effect at the landscape scale and whether or not host selection is random or directed. We fit the models with aerial damage survey data to the Sawtooth National Recreation Area using estimating functions, which allows for more rapid and complete parameter determination. We then introduce a novel model selection procedure based on facial recognition technology to compliment traditional nonspatial selection metrics. Together with these we are able to select a best model and draw inferences regarding the behavior of the beetle in outbreak conditions.