查询词典 equation of continuity

Multivalued maximal monotone operator; Multivalued stochastic differential equation; Explicit solutions; Limit theorem; Denjoy's continuity; Non-Lipschitz coefficient; Large deviations

基础科学，数学，概率论、数理统计多值极大单调算子；多值随机微分方程；显式解；极限定理； Denjoy连续性；非Lipschitz系数；大偏差原理

The main contents of this course include: the elementary solution of first order differential equations, the theory of existence, uniqueness and continuity dependency of initial value problem of first order differential equations, the structure theory of higher order linear differential equation and the solution of constant coefficient equations, the structure theory of system of linear equations, basic solution matrix and the solution of system of constant coefficient equations.

本课程内容有：一阶微分方程初等解法，一阶微分方程初值问题的存在性、唯一性、连续依赖性理论，高阶线性微分方程解的结构理论和常系数方程解法，线性方程组的结构理论、基解矩阵和常系数方程组的解法。

We find that the covariant continuity equation for the spin current plays a key role in keeping the consistency of the SU(2) Kubo formula with different gauge fixings.

我们发现，自旋流满足的协变形式连续性方程保证了SU(2)Kubo公式在两种不同规范固定下的自洽性。

In this PhD thesis, we first study the following BVP for first-order dynamic equation on time scaleThe corresponding integral operator is constructed and its completely continuity is proved.

本文首先研究了测度链T上的一阶动力方程边值问题构造了相应的积分算子并证明了其全连续性。

In the paper, with the characteristics of the line integral road, free surface condition and continuity condition, we gave the additional equations to close the equation group and overcame the difficulty, and successfully calculated and analysed the nonlinear ship wavemaking by the method.

文中根据自由面线积分路径的特点，自由面边界条件以及连续性条件来建立补充方程，而成功地解决这一难题，从而为非线性船波分析提供了一个有力的工具，并利用此方法分析非线性兴波取得了成功。

In this paper, we manily discuss the solvable problems including existence and continuity on a class of monotone type input-output equation in R~n.

Leontief所提出的"投入产出分析"，本文主要讨论和研究了R n空间中消耗为单调型的投入产出方程的可解性问题。

There isn't maximum principle for polyharmonic equation,so this paper first established a super-sub-sulution theorem via low semi-continuity and changed assistant function.

因为多重调和方程没有极值原理，所以首先利用泛函弱半连续性和适当变换辅助函数的方法建立起多重调和方程的上下解定理。

Main results:(1) For the stochastic Volterra type integral equation with singular kernels,it is the first time to be investigated under non-Lipschitz conditions. The existence-uniqueness and Hlder\'s continuity are established.Here,an extended Minkowski\'s inequality plays a key role.

主要结论：(1)关于具有奇异核的随机Volterra型积分方程，我们首次在非Lipschitz条件下进行研究，得到解的存在唯一性和Hlder连续性(此处证明的一个关键步骤应用了推广的Minkowski不等式)。

Based on the current continuity equation, using spherical harmonic function expansion, where lower boundary condition is the surface atmospheric electric potential, upper boundary condition is the electric potential of the bottom of the ionosphere, and non-homogeneous current source function of the vertical dipole assumptions is used for the charging of thunderstorms, the state analytical solution of global atmospheric electricity model in lower atmosphere is gotten.

本文从电流连续方程出发，采用球谐函数展开法，边界条件采用下边界为地表大气电势，上边界为电离层底部电势，非齐次电流源函数项采用垂直偶极子假设。

Making use of the inverse surface equation of wave normals and the boundary condition about the continuity of electromagnetic field tangential component at the surface of crystal, expressions about wave normal and ray direction, wave normal and ray refractive indexes were obtained.

论文建立了以光线入射方向和晶体光轴方向为基准的入射坐标系，利用波法线反曲面方程和电磁场在晶体折射界面处切向分量连续性的边界条件，得到了晶体中波法线方向、射线方向、波法线折射率和射线折射率的表达式。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。