hamilton-jacobi equation 中文意思是什麼

hamilton-jacobi equation 解釋
哈密頓-雅可比方程
  • hamilton : n. 漢密爾頓〈姓氏，男子名〉。n. 漢密爾頓〈加拿大港市，百慕達群島首府〉。
  • jacobi : 哈科維
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. An application of hamilton - jacobi - bellman equation in optimal investment

    方程在最優投資中的應用
  2. A class of difference schemes with staggered grids for hamilton - jacobi equation

    方程的交錯網格差分格式
  3. 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

    在此基礎上得到了激光在等離子體隧道中傳輸的包絡方程以及光斑半徑與傳輸距離、隧道寬度等初始參量的關系。
  4. 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

    從maxwell方程出發我們得到了兩個包含衍射、三階強度非線性、等離子體散焦、等離子體隧道聚焦和散焦以及相對論自聚焦等效應在內的激光場演化方程，即折射率方程和哈密頓-雅可比方程。
  5. In chapter two, the general model of the optimum investment, consumption and periodical insurance payable at death for life is discussed and its corresponding optimum control question is solved. the optimum strategy can be got through the corresponding hib ( hamilton - jacobi - bellman ) equation. as to the crra ( constant relative risk aversion ), a sort of utility function, indicatively, the optimum investment process, consumption process and the periodical insurance payable at death for life purchasing process can be gained with the feedback form

    第二章討論最優消費、投資、定期人壽死亡保險的一般模型，解決了對應的最優控制問題，最優策略可通過求解hjb （ hamilton一jaeobi一bellman ）方程得到，當效用函數為crra （常數相對風險厭惡）類型時，顯式地得到具有反饋形式的最優投資過程、消費過程及定期人壽死亡保險購買過程。
  6. In this paper, we convert the complex third order eigenvalue problems into the real third order eigenvalue problems. then, based on the euler - lagrange equation and legendre transformation, a reasonable jacobi - ostrogredsky coordinate system have been found, then using nonlinear method, the lax pairs of the real bargrnann and neumann system are nonlinearized, so as to be a new finite - dimensional integrable hamilton system in the liouville sense is generated. moreover, the involutive representations of the solution for the evolution equations are obtained

    本文將復的三階特徵值問題轉化為實的三階特徵值問題，利用euler - lagrange方程和legendre變換，找到一組合理的實的jacobi - ostrogredsky坐標系，從而找到與之相關的實化系統，再利用曹策問教授的非線性化方法，分別將三階特徵值問題及相應的lax對進行非線性化，從而得到bargmann勢和neumann勢約束系統，並證明它們是liouville意義下的完全可積系統，進而給出了bargmann系統和neumann系統的對合解。
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