线性偏微分方程的英文

• linear partial differential equation
• linear partical differential equation
• partial linear differential equation

• 线性    linear; linearity
• 偏    inclined to one side; slanti ...
• 非线性偏微分方程    nonlinear partial differential equation
• 拟线性偏微分方程    quasilinear partial differential equation
• 偏微分方程    partial differential equation; partialdifferentialequation
• 非线性二阶偏微分方程    nonlinear 2order partial differential equa
• 偏微分方程式    partial differential equation
• 偏微分方程组    system of partial differential equations
• 线性偏微分算子    linear partial differential operator
• 混合型偏微分方程    partial differential equation of mixed type
• 近代偏微分方程    modern partial differential equations
• 联立偏微分方程    simultaneous partial differential equations
• 抛物型偏微分方程    parabolic partial differential equation; partial differential equation of parabolic type; partial differential equationf parabolic type
• 偏微分方程理论    theory of partial differential equations
• 偏微分方程数值解    numerical solution of partial differential equation
• 偏微分方程语言    partial differential equation language
• 欠定偏微分方程组    underdeterminate system of partial differential equations
• 双调和偏微分方程    biharmonic partial differential equation
• 双曲型偏微分方程    hyperbolic partial differential equations; partial differential equation of hyperbolic type; partial differential equationyperbolic type
• 椭圆型偏微分方程    elliptic partial differential equation; partial differential equation of elliptic type; partial differential equationof elliptic type
• 现代偏微分方程    modern partial differential equations
• 一阶偏微分方程    first order partial differential equation; partial differential equation of first order
• 非线性椭圆型偏微分方程弱解的存在性    the existence of weak solutions for nonlinear elliptic partial differential equations
• 线性微分方程    lde linear differential equation; linear differeantial equation; linear differential equation
• 广义函数与偏微分方程    generalized functions and partial differential equations

• The first part , the theory and application about wu - ritt differential characteristic sequence method are discussed , which involves the theories of differential equations , abstract algebra and computer algebra etc . we apply wu - ritt differential characteristic sequence method ( abbr . wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions
  本文共分两部分，第一部分讨论微分特征列法的理论和应用问题，涉及到微分方程，抽象代数，计算机代数等重要学科。将吴方法应用到具有物理意义的线性偏微分方程上去，我们给出了型序，验证了张鸿庆教授八十年代给出的恰当解的概念，刻划了解的规模并给出了形式幂级数解。
• The main result of this part is the following , by using the method of characteristic curves for solving linear partial differential equations , the whole classification of the integrals of motion of the reduced three - wave interaction system is obtained with the condition of some parameters . rigorous proof is given . this part consists of three sections
  本部分的主要结论如下，应用解线性偏微分方程的特征曲线法研究了约化的三波相互作用系统的运动积分，给出了在一定参数条件下系统所有的运动积分，并严格证明了这些结论。
• A key issue in developmental biology is a mathematical understanding of how diverse patterns in nature , such as spots and stripes on sea - shells , fish and zebra , are produced . during the last twenty years , scientists studied these problems using partial differential equations ( pdes ) by standard linear method
  生物学其中一个重要的课题是如何以数学模式去解释自然界各种图案的产生，例如贝壳、鱼类上的斑点和斑马的条纹。过去二十年间，科学家利用标准的线性偏微分方程去研究这问题，只可以预测线性或有规律性的图案。
• By use of - perturbation method with spatial discretization , the hydraulic transient system controlled by quasilinear partial differential equation was converted to a time - continuous linear system , so that the inverse problem of hydraulic transients under limited pressure could be sol ed with the optimal control theory for time - continuous systems
  采用-摄动法并经过空间离散，将由拟线性偏微分方程控制的有压瞬变流系统转化为时间连续线性系统，从而使有压瞬变流限压控制反问题能应用时间连续系统最优控制理论来求解。