包含镜射自变量微分方程的遥远概周期解

本文利用遥远概周期函数的基本定义和性质以及Banach压缩映像原理研究了包含镜射自变量微分方程的遥远概周期解问题,证明了遥远概周期解的存在性及唯一性。     

The impact of different vertical diffusion schemes in a three-dimensional oil spill model in the Bohai Sea

Vertical transport is critical to the movement of oil spills in seawater. Breaking waves play an important role by developing a well-defined mixing layer in the upper part of the water column. A three-dimensional （3-D） Lagrangian random walk oil spill model was used here to study the influence of sea surface waves on the vertical turbulence movement of oil particles. Three vertical diffusion schemes were utilized in the model to compare their impact on oil dispersion and transportation. The first scheme calculated the vertical eddy viscosity semi-empirically. In the second scheme, the vertical diffusion coefficient was obtained directly from an Eulerian hydrodynamic model （Princeton Ocean Model, POM2k） while considering wave- caused turbulence. The third scheme was formulated by solving the Langevin equation. The trajectories, percentages of oil particles intruding into water, and the vertical distribution structures of oil particles were analyzed for a series of numerical experiments with different wind magnitudes. The results showed that the different vertical diffusion schemes could generate different horizontal trajectories and spatial distributions of oil spills on the sea surface. The vertical diffusion schemes caused different water-intruding and resurfacing oil particle behaviors, leading to different horizontal transport of oil particles at the surface and subsurface of the ocean. The vertical diffusion schemes were also applied to a realistic oil spill simulation, and these results were compared to satellite observations. All three schemes yielded acceptable results, and those of the third scheme most closely simulated the observed data.     

The Nonlinear Interaction Process in the wave Assimilation Model and Its Experiments

This paper presents a composite interaction formula based on the discrete-interaction operator of wave-wave nonlinear interaction for deriving its adjoint source function in the wave assimilation model.Assimilation experiments were performed using the significant wave heights observed by the TOPES/POSEIDON satellite,and the gradinet distribution in the physical space was also analyzed preliminarily.     

库仑耦合效应对类太阳恒星模型的影响

物态方程一直是恒星模型理论研究中的最重要的物理方程之一，对于日震学等高精度要求的研究领域来讲，只包含理想效应的物态方程并不能满足研究需要，而要更细致、包含非理想效应的物态方程对系统作更精确和完善的描述，在弱耦合及弱电子简并的系统中，为研究各种带电粒子之间的库仑耦合效应，以化学图像为基础，分别用具有硬核改正的Debye—Hueckel扩展理论来处理离子-电子作用、多体作用的经典点粒子相互作用理论描述离子-离子作用和量子统计方法处理电子-电子作用，并把此3种作用对物态方程自由能的贡献用半解析的数学公式给出，为适应日震学研究的要求，特别选取一组类太阳的恒星模型作为研究对象，从实际模型计算出发，对库仑耦合中的各种效应进行了比较分析，讨论并检验了所作的理论改进。     

建立罗非鱼保鲜期实验方程及其应用性探讨

根据实验数据和采用王怡评定罗非鱼感官的评分标准，建立０℃、８℃和１５℃三个温度水平的罗非鱼保鲜期实验方程；同时．实验表明：在温度０℃～５℃下无论采用感官检定或ＴＶＢ－Ｎ，或细菌总数和Ｋ值的指标检定其鲜度，所得的结果均相同。因此．在实际应用时，以０℃温度水平下的实验方程其可靠性较大。     

线性方程组与信号流图的相互变换

线性方程组与信号流图可以相互变换。把线性方程组变换为信号流图，利用信号流图运算规则，能简化运算并直观显示信号源和各变量间的因果关系；此外，把描述线性时不变系统的信号流图变换为线性方程组，然后利用线性代数的经典方法，能直接得出各变量的解。     

液体-固体分界面处斯通利波的波速方程

推导出液体—固体分界面处斯通利波波速方程的几种不同表达式,并对结果进行了简单讨论。     

GPS高程异常拟合的降维处理算法

探讨了基于拟合误差方程病态的降维处理算法 ,以期得到稳定的解。该方法的本质是截尾正则化算法 ,并利用实测数据进行了验证。结果表明 ,本方法非常有效。     

一类迁移方程逆问题的求解

迁移方程在原子核物理、气象预报和人口理论等方面具有广泛的应用，此类问题的逆问题更具有其实用性。作者在已有工作的基础上，应用奇异积分方程理论，给出了求解此类问题的具体表达式。