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Its contents include:(1) Based on unsteady flow theory model, the program of calculating the critical velocity of fluidelastic instability is developed.

提出以频率为参数的拟线性模型来分析临界流速的多值性,并给出了计算固有临界流速和受激临界流速的方法;(4)。

And then the influence of two of the damage models, the Kachanov and the gradient dependent constitutive equations, on the well posed properties of the fundamental equations in continuum damage mechanics is studied according to th.

首先从非局部理论出发,推导了应变梯度损伤本构方程;然后利用一阶拟线性偏微分方程组的特征理论,在一维弹性损伤情况下分析了两种不同的本构模型,即 Kachanov损伤本构方程与应变梯度损伤本构方程,对连续介质损伤力学基本方程适定性的影响。

Methods In the base of hill's three factors muscle model, this paper uses the method of differential coefficient and linear approach.

在Hill二元素肌肉模型的基础上,利用微分和线性拟合的方法,最终获得了骨骼肌在不同应变率下的应力-应变本构方程。

In part V using Lions' second Concentrate Compactness Lemma andvariational method,we prove the existence of minimal positive solutionof a class of quasilinear elliptic obstacle problems〓in space〓.

第五部分使用Lions的集中紧性原理和变分方法,我们证明了一类非齐次拟线性椭圆型方程对应的障碍问题〓在〓中极小正解的存在性。

After that the existence of a nontrival solution for the elliptic system is proved by means of Mountain-Pass Lemma. At last, we present two examples to illustrate that our condition is weaker than Boccardo and De.

Figueiredo(2002)的条件更弱的条件下满足条件,并利用山路引理证明了这类拟线性椭圆型方程组非平凡解的存在性,最后举出两个例子验证了文中所给条件的确比Boccardo和De。

In a steady compressible flow, if the method of stream function is applied, the stream is satisfied by a specific boundary value problem for partial differential equation of quasilinear elliptic type when the flow is subsonic.

可压缩流动;马赫数;西安交通大学;函数方法;流函数;有限元解;稳定的可压缩流动中,若用流函数方法,当流动是亚音速时,则流函数满足一种特殊的拟线性椭圆型方程的边值问题。

We also obtain the normal forms for a class of real analytic hypersurface in C^2, and the existence and uniqueness of the positive solutions of some quasilinear elliptic equations.

我们还研究了一类C^2上的实解析超曲面的规范型,以及一些拟线性椭圆型方程组正解的存在性和唯一性。

The existence of classical solutions to non-divergence quasilinear parabolic equation of second order has been proved by basic knowledge of non-linear functional analysis and implicit function theorem in banach spaces.

用非线性泛涵分析的基本知识和Banach空间上的隐函数定理证明了非散度型拟线性抛物型方程古典解的存在性。

In the second chapter we consider the existence of multiple nontrivial solutions for a class of quasilinear elliptic boundary value problems.

在第二章,我们运用下半连续及鞍点定理得到了一类拟线性椭圆边值为体的多重非平凡解的存在性。

The paper has used concise methods of logical analysis and reasoning to describe the relation between the first-order quasilinear partial differential equation and its system of characteristic equation.

对一阶拟线性偏微分方程与其特征方程组的关系,文中给出了简洁的逻辑分析和推导方法。

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