classical solution 中文意思是什麼

classical solution 解釋
經典解法
  • classical : adj. 1. （文藝等）古典的，傳統的，權威的；古典文學的；古典語文的；古希臘[古羅馬]的；古典主義的，經典的。2. 人文科學的，文科的。3. ＝classic 1. adv. -ly
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. We will regularize the equations by the standard mollifier to get the approximate solutions. then by making uniform estimates to the approximate solutions and by passing to the limit, we obtain the local existence for the above problem. then, based on the local existence of the classical solution, we discuss the blow - up criterion

    我們主要研究了此方程組古典解的局部存在性，爆破準則以及通過粘性消失方法來研究如上方程組的局部存在性和收斂率問題，主要結論有： （ 1 ）解的局部存在性利用光滑子對方程組進行正則化，從而得到原方程組的逼近解。
  2. Global classical solution of schrodinger - poisson problem

    問題的整體古典解
  3. Global existence of classical solution to the cauchy problem for quasilinear hyperbolic systems

    問題經典解的整體存在性
  4. Lower bounds on life - span of classical solution to quasilinear hyperbolic systems

    擬線性雙曲方程組經典解存在區間的下界
  5. Global classical solution with small initial total variation for quasilinear hyperbolic systems

    具小全變差擬線性雙曲組的整體經典解
  6. Considering enough the property of the equa - tion, we prove existence of absorbing set of the solution in h ~ ( 1 ) by the method of changeing the higher order nonlinear term as nonnegative guadratic form and prove existence of absorbing set of the solution in h ~ ( 2 ) by the method of linear combining of energy inequality and multiform classical inequality

    我們充分考慮方程的特點，將高階非線性項化為一非負定二次型使得解在h ~ 1中的吸收集的存在性得以證明。通過能量估計的巧妙組合以及多種形式的不等式進行精細的估計以獲得h 「的吸收集的存在性
  7. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  8. The last result is in complete agreement with the one corresponding to solution in the classical linear theory of elasticity.

    最後這一結果是和對應于經典線性彈性理論中的解的那種結果完全一致的。
  9. Based on classical phase voltage model, a line voltage model is derived and then the phase current model is obtained. beside, the solution for this novel mathematical model is also given

    本文基於經典的相電壓模型，導出線電壓模型，然後推出相電流模型，並給出相電流模型解的表達式。
  10. This paper uses compare principle to show that there exists at most one of classical solution for ( 1 ), while the existance of solution is obtained through continuous method. to get the required a priori estimates except the double normal derivatives, we adopt the method in [ 3 ], and the double normal derivatives on dq are achieved by barrier constructions and applying skill of [ 2 ]

    本文用比較原理證明了問題（ 1 ）至多存在一個古典解，應用連續性方法，得到了問題（ 1 ）古典解的存在。在得到所需的先驗估計時，利用了[ 3 ]中的方法建立了除去邊界二階法向導數外的先驗估計，通過構造閘函數，用[ 2 ]中的技巧得到在邊界（
  11. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  12. But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained

    關於弱解的唯一性和古典解的整體存在性尚未得到證明。
  13. In this paper, we study classical solution to the first initial - boundary value problem of parabolic hessian equation : where is a bounded, uniformly ( k - l ) - convex domain in rn with smooth boundary

    本文研究如下的拋物型hessian方程的第一初邊值問題的古典解：其中是r ~ n中有界一致（ k - 1 ）凸的光滑區域。
  14. The global classical solution of the mixed initial - boundary value problem for a kind of the first order quasilinear hyperbolic system

    一類非齊次擬線性雙曲型方程組混合初邊值問題的整體經典解
  15. Then, similar to the 3 - d euler equations, the blow - up criterion of the classical solution for the 3 - d boussinesq equations without viscosity term is given

    然後，與三維euler方程類似，本文給出了三維無粘boussinesq方程組古典解的爆破準則。
  16. According to synthetical analysis on the feature of parameters, contact pressure & formation and load distribution of conical roller bearings, the limitation is discovered, based on classical solution

    通過對錐軸承的特徵參數、接觸應力和變形及負荷分佈特性的綜合分析，得出了圓錐滾子軸承的經典解析解存在局限性的結論。
  17. In term of that, the solution result in two different condition is achieved by ansys software. deep research and comparing analysis between the classical solution and the finite element result is made on contact stress & formation and load distribution of conical roller bearings by revised classical formula of elastic contact problems, according to finite element solution in two different interfering conditions

    根據有限元數值模擬結果對經典解析解中接觸彈性變形量與作用負荷的關系進行了修正，利用修正過的接觸彈性變形公式對汽車后橋傳動錐軸承的接觸應力和變形及負荷分佈規律在無游隙及負游隙兩種情況下進行研究，並將結果與經典解析解進行了對比分析。
  18. This dissertation focuses on the locally classical solution and the globally classical solution of one dimensional combustion free boundary problem. the existence and uniqueness of classical solution locally in time will be obtained by the use of fixed point theorem

    本文集中於對一個一維燃燒問題的局部古典解和整體古典解進行研究，應用不動點定理得到局部古典解存在唯一性。
  19. It is shown that as long as the l norm of the gradient of the velocity vector field of the flow is finite, that is, if for any t > 0, then the classical solution exists globally on [ 0, t ]

    該準則表明只要流體速度場的梯度的l ~范數有限，即如果對任意的，則三維無粘boussinesq方程組的古典解在[ o ， t ]上整體存在。
  20. We will again obtain the local existence of the classical solution of the above problems in this part by using viscous approximations. then we will discuss the decay rates of the viscous approximations when the viscous term tends to zero

    （ 3 ）粘性消失本部分首先利用粘性消失的方法得到如上方程組古典解的局部存在性，然後討論了當粘性消失時，粘性方程的解趨于如上方程組解的收斂率問題。
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