jacobi equation meaning in Chinese
雅可比方程
Examples
- A class of difference schemes with staggered grids for hamilton - jacobi equation
方程的交错网格差分格式 - The envelope equation of laser propagating in the plasma channel , and the general expression related the laser spot size with the propagation distance and the width of the plasma channel etc . , are derived based on the hamilton - jacobi equation and the refractive index equation
在此基础上得到了激光在等离子体隧道中传输的包络方程以及光斑半径与传输距离、隧道宽度等初始参量的关系。 - In this article , we give sufficient conditions for the existence of solutions to the vectorial hamilton - jacobi equations with dirichlet boundary condition : obtaining , in addition , an application to the theory of existence of minimizers for a class of non - convex variational problems
本文给出了一类依赖于自变量和未知函数的梯度的向量情况隐式偏微分方程的dirichlet问题的弱解的存在性的充分条件，并将该结果应用到一类非拟凸变分问题中去。 - From maxwell equations the refractive index equation and hamilton - jacobi equation , which describe the evolution of the electric field , are derived including the effects of the diffraction , the third - order intensity - dependent nonlinearity , plasma defocusing , the focusing and defocusing of the plasma channel , and the relativistic self - focusing
从maxwell方程出发我们得到了两个包含衍射、三阶强度非线性、等离子体散焦、等离子体隧道聚焦和散焦以及相对论自聚焦等效应在内的激光场演化方程，即折射率方程和哈密顿-雅可比方程。 - Level set is a strong robust algorithm about curves ’ evolution by taking the evolving curves as level set in the higher dimensions , utilizing the computing approach based on hyperbolic conversation law , and applying the similarity between of curves evolution and hamiton - jacobi equations
Levelset方法的基本数学思想是将当前正在演化的曲线看作是一个更高维函数的水平集,借用双曲守恒定律的计算方法,利用曲线演化与hamilton - jacobi方程的相似性,给出了一种曲线演化的强鲁棒性的计算方法。