片语

biharmonic agreement双边协议

biharmonic systems双调和椭圆系统

a biharmonic双调和

biharmonic problems双调和问题

biharmonic mapping双调和映射

biharmonic operator[数]

biharmonic function[数]

biharmonic equation[数] 双调和方程

英汉例句

• According to the nature of two-dimensional biharmonic equations, this paper obtains a polynomial solution of the biharmonic equation for stress function by means of the MATHEMATICA software.

  根据二维双调和方程的特点并借助于MATHEMATICA软件，得到了应力函数双调和方程的多项式解答。

• The expression of the elastic field round the outside of the disk inclusion has been deduced analytically by the method of the harmonic and biharmonic potentials.

  本文采用调和势和双调和势法，导出了圆盘形夹杂外部弹性场的解析表达式。

• In particular, the mean curvature of the complete biharmonic submanifolds is bounded as 1 in a sphere and satisfies some growth growth conditions, then the mean curvature is 1.

  特别地，单位球面中平均曲率下界为1的完备双调和子流形，若平均曲率积分满足该增长性条件时，则它的平均曲率是1。

• Methods Using the fundamental solution of the biharmonic operator, the sequence of fundamental solutions is defined and theoretical derivation is given.

  方法利用重调和算子的基本解，定义一基本解系列，进行理论推导。

• Abstr: In this paper, by using variational method and concentration-compactness principle, infinitely many solutions are obtained for a class of biharmonic equation with singular potential.

  文章摘要：本文利用集中紧性原理和变分方程对奇异双调和方程进行研究，通过截断技术和分析技巧得到了该问题无穷多个解的存在性。

• Abstr: The complete biharmonic submanifolds in a Riemannian manifolds with sectional curvature bounded from above by a non-negative constant are investigated by using integral by parts.

  文章摘要：利用分部积分法，对截面曲率上界为非负常数的黎曼流形中的完备双调和子流形进行研究。

• The method in this paper is much more convenient than that of Lekhniskii's with biharmonic function.

  本文的方法比列赫尼茨基的重调和函数法更为简便。

• By using Green function, the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation were obtained.

  利用Green函数，根据双调和方程边值问题的边界积分公式和自然边界积分方程。