The new variational principles can fully characterize the initial-boundary-value problem of this dynamics.
这种新的变分原理能反映动力学初值-边值问题的全部特征。
In this paper, moment method is used to deal with the first boundary value problem of one dimensional wave equation with stochastic initial and boundary conditions.
本文使用矩方法处理了具有随机初始条件的一维波动方程的第一边值问题。
A successive approximation method is suggested without value limit of wave velocity. The formulas for calculating the initial propagation velocity of reverse plastic loading boundary are also given.
建议了一个不受波速值限制的逐步近似法，并给出反向塑性加载边界传播速度的计算式。
In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed.
讨论了非线性奇异扩散方程的第二初边值问题，证明了存在唯一的光滑解，且解关于初值是连续依赖的。
The finite element method is used to numerically solve the initial and boundary value problem of the mathematical model.
采用有限元法求解数学模型的初值、边值问题。
Part I, the artificial boundary condition and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems on unbounded domains is studied.
第一部分，研究无界外区域双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
In this paper, we investigate the artificial boundary conditions and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems.
本文研究双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
The initial boundary value problem for nonlinear hyperbolic equation in three dimensional domain with moving boundary is studied.
研究具有变动边界的三维区域上的非线性双曲型方程的初边值问题。
A class of initial boundary value problems for the singularly perturbed semilinear elliptic equations with nonlocal boundary conditions are considered.
本文研究了一类具有非局部边界条件的奇摄动半线性椭圆型方程边值问题。
The singular perturbation of the initial boundary-value problem for a kind weakly coupled reaction-diffusion equation system is discussed.
讨论了一类弱耦合反应扩散方程组的初边值问题的奇摄动。
The dynamic constitutive models of saturated soils play an important role to the calculation of the dynamic response of soils and the solution to geotechnical initial and boundary value problems.
饱和土体的动力本构模型对于土体的动力反应计算分析和岩土工程初边值问题的求解发挥着重要的作用。
The paper deals with the existence of global solution for some semilinear hyperbolic equation with initial and boundary value by using Galerkin method and compactness criteria.
应用Galerkin方法及紧致性原理，研究了一类非线性双曲型方程初边值问题整体解的存在性。
Study the initial boundary value problem of semilinear pseudoparabolic equations.
研究一类半线性拟抛物方程的初边值问题。
Some mixed initial boundary value problems of the semiconductor equations were studied.
考虑一类半导体方程组的混合初边值问题。
A class of singularly perturbed reaction diffusion equation initial boundary value problem with a curve of turning point is discussed.
讨论了一类具有转向点曲线的奇摄动反应扩散方程初始边值问题。
The uniformly valid asymptotic solution to the original initial boundary value problems was obtained by the theory of differential inequalities.
利用微分不等式理论，得到了原初始边值问题解的一致有效的渐近解。
This paper studies the initial boundary value problem for a class of quasilinear pesudoparabolic integrodifferential equations.
研究一类拟线性拟抛物型积分微分方程的初边值问题。
We consider the initial boundary value problem for a class of nonlinear degenerate wave equations in a bounded domain.
考虑了有界区域上一类非线性退化波动方程的初边值问题。
In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.
讨论了一类非线性抛物型方程的初边值问题解的存在性，并得出了解的存在性定理。
A class of singularly perturbed initial boundary value problems for reaction diffusion equations in a part of domain are considered.
本文是讨论一类在局部区域上的奇摄动反应扩散初始边值问题。
The initial boundary value problem of fourth order wave equation with dispersive and dissipative terms is studied.
研究具色散和耗散项的四阶波动方程的初边值问题。
This paper describes the asymptotic and oscillatory properties of solutions of initial boundary value problems of linear and semilinear parabolic equations of second and fourth order.
本文考虑一类二阶及四阶线性和半线性抛物方程初边值问题的解的渐近性与振荡性。
The models are characterised by an initial-boundary value problems of a system of nonlinear partial differential equations on the abnormal pressure and the paleotemperature of the formation.
盆地模拟的数学模型是一组关于地层超压和古温度的非线性偏微分方程初边值问题。
By using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the initial boundary value problem is studied.
利用多重尺度法和比较定理，研究了初始边值问题解的渐近性态。
A class of singularly perturbed initial boundary value problems for reaction diffusion equations in a part of domain are considered.
讨论一类在部分区域上的奇摄动反应扩散方程初始边值问题。
The existence and the life span of solutions to some mixed initial-boundary value problems are also investigated.
利用弹性薄板的广义变分原理和双调和方程的特解序列，提出了一种求解圆板混合边值问题的数值方法。
This paper discusses initial boundary value problem (1) - (3). Under somewhat more general condition, the uniform boundness of the solutions is demonstrated and the decay estimate is obtained.
本文讨论始边值问题(1)—(3)，在一般条件下，证明解一致有界，并得出衰减估计。
Structure of global weak entropy solution for initial-boundary value problems of scalar conservation laws with non-convexity conditions;
本文研究具有两段常数的初始值和常数边界值的非凸单个守恒律的初边值问题。
Structure of global weak entropy solution for initial-boundary value problems of scalar conservation laws with non-convexity conditions;
本文研究具有两段常数的初始值和常数边界值的非凸单个守恒律的初边值问题。
应用推荐