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151.
152.
把极角θ视为独立变量,得到Kepler系统的轨道微分方程. 首先讨论Kepler系统轨道微分方程的Lie对称性和不变量,微扰Kepler系统轨道微分方程的精确Lie对称性和精确不变量,其次讨论微扰Kepler系统轨道微分方程的近似Lie对称性和近似不变量,并得到了微扰Kepler系统的9个一阶近似Lie对称性和6个一阶近似不变量,其中1个实为精确不变量,而其余5个分别等于微扰系数ε乘以Kepler系统相应的5个不变量. 相似文献
153.
154.
A type of new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints is investigated. The expressions of new structural equation and new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results. 相似文献
155.
Headland-bay beach (HBB) is one of the most prominent physiographic features on the oceanic margin of many countries in the world. Under the influence of a predominant swell, its curved periphery in natural environment may reach static equilibrium and remains stable without sediment supply from updrift and/or a riverain source within its own embayment. Coastal scientists and engineers have attempted to develop mathematical expressions to quantify this ideal bay shape since the 1940s. As the scenario with depleting sediment supply has become a common reality on many parts of the world coastline in more recent time, some coastal engineers have advocated a rational approach to mimicking the static bay shape found in nature in order to mitigate beach erosion as well as for coastal management. Nowadays, many useful applications have emerged since the publication of the parabolic bay shape equation (PBSE) developed for static equilibrium planform (SEP) in late 1980s. The advance in modern computer technologies and international collaboration has further facilitated the exchange of knowledge and applications of this static bay beach concept (SBBC). 相似文献
156.
基于将约束点也作为待解算结点的思想,对传统最小曲率迭代法进行改进。改进后的方法在待解算结点周围存在约束点时,避免了根据约束点与待解算结点之间的不同关系需要进行分类推导的复杂过程,同时也避免了因使用泰勒展开式进行分解造成的精度损失,提高了解算精度。 相似文献
157.
The scattering of water waves by bottom-mounted vertical circular cylinders is solved by using the null-field integral equations in conjunction with degenerate kernels and Fourier series to avoid calculating the Cauchy and Hadamard principal values. In the implementation, the null-field point can be exactly located on the real boundary owing to the introduction of degenerate kernels for fundamental solutions. An adaptive observer system of polar coordinates is considered to fully employ the properties of degenerate kernels. For the hypersingular equation, vector decomposition for the radial and tangential gradients is carefully considered. This method can be seen as a semi-analytical approach since errors attribute from the truncation of Fourier series. Neither hypersingularity in the Burton and Miller approach nor the CHIEF concept was required to deal with the problem of irregular frequencies. Five advantages of free of calculating principal value, well-posed algebraic system, convergence rate of exponential order, meshfree and elimination of boundary-layer effect, are achieved by using the present approach. Numerical results are given for the forces and free-surface elevation around the circular boundaries. Also, the near-trapped behavior arisen from the physical resonance is detected. A general-purpose program for water wave impinging several circular cylinders with arbitrary number, radii, and positions was developed. Several examples of water wave structure interaction by vertical circular cylinders were demonstrated to see the validity of the present formulation. 相似文献
158.
Reevaluation of historical ocean heat content variations with time-varying XBT and MBT depth bias corrections 总被引:6,自引:0,他引:6
As reported in former studies, temperature observations obtained by expendable bathythermographs (XBTs) and mechanical bathythermographs
(MBTs) appear to have positive biases as much as they affect major climate signals. These biases have not been fully taken
into account in previous ocean temperature analyses, which have been widely used to detect global warming signals in the oceans.
This report proposes a methodology for directly eliminating the biases from the XBT and MBT observations. In the case of XBT
observation, assuming that the positive temperature biases mainly originate from greater depths given by conventional XBT
fall-rate equations than the truth, a depth bias equation is constructed by fitting depth differences between XBT data and
more accurate oceanographic observations to a linear equation of elapsed time. Such depth bias equations are introduced separately
for each year and for each probe type. Uncertainty in the gradient of the linear equation is evaluated using a non-parametric
test. The typical depth bias is +10 m at 700 m depth on average, which is probably caused by various indeterminable sources
of error in the XBT observations as well as a lack of representativeness in the fall-rate equations adopted so far. Depth
biases in MBT are fitted to quadratic equations of depth in a similar manner to the XBT method. Correcting the historical
XBT and MBT depth biases by these equations allows a historical ocean temperature analysis to be conducted. In comparison
with the previous temperature analysis, large differences are found in the present analysis as follows: the duration of large
ocean heat content in the 1970s shortens dramatically, and recent ocean cooling becomes insignificant. The result is also
in better agreement with tide gauge observations.
On leave from the Meteorological Research Institute of the Japan Meteorological Agency. 相似文献
159.
石晓辛 《成都信息工程学院学报》2009,24(2):201-203
研究Liemrd方程零解的渐近稳定性.在Liapunov函数Ⅴ满足dV/dt≤0的情况下,给出了进一步判断其渐近稳定的一个条件. 相似文献
160.
王水球 《成都信息工程学院学报》2009,24(3)
运用泛函分析性质以及Fourier变换的方法研究带有周期边界条件的非线性k-s方程在有限时间区间上的精确控制.首先研究线性化k-s方程的精确控制,证明对于任意给定的函数u0∈Hs,uT∈Hs,总能找到一个控制函数h使得线性化k-s方程有解u且满足u(x,0)=u0,u(x,T)=uT;然后结合线性化k-s方程的精确控制,通过定义Fredholm算子并应用Fredholm算子的一些理论找到非线性化k-s方程的控制函数,使其可精确控制. 相似文献