hyperbolic system 中文意思是什麼

hyperbolic system 解釋
雙曲系統
  • hyperbolic : adj. 【數學】雙曲線的。adv. -ically adj. 誇張法的。
  • system : n 1 體系，系統；分類法；組織；設備，裝置。2 方式；方法；作業方法。3 制度；主義。4 次序，規律。5 ...
  1. Under the assumption that the elastic tensor satisfies the strong - ellipticity condition, we reduce the two - dimensional equations of linearly elastic membrane shells to a first order linearly symmetric hyperbolic system

    摘要在彈性張量滿足強橢圓性條件的假設下，把2 -維線性動態膜殼方程組化為一階線性對稱雙曲組。
  2. The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations.

    基本的方法是以雙曲型偏微分方程組的簡單波解為根據的。
  3. The hyperbolic conservation laws with relaxation appear in many physical systems such as nonequilibrium gas dynamics, flood flow with friction, magnetohydrodynamics, etc. firstly, the thesis proves that there exists a unique global smooth solution for the cauthy problem to the hyperbolic conservation laws system with relaxation ; secondly, in the large time station, the thesis proves that the global smooth solutions of the hyperbolic conservation laws system with relaxation converge to rarefaction waves solution at a determined l ( p > 2 ) decay rate

    帶鬆弛項的雙曲型守恆律組出現在諸多的物理系統中。例如，非平衡態的氣體動力學、帶摩擦的水流、磁動力學等。本文首先證明，帶鬆弛項的雙曲型守恆律組的柯西問題的整體光滑解的存在唯一性；其二，證明了帶鬆弛項的雙曲型守恆律組的解與相應的平衡態守恆律的稀疏波解在大時間狀態下的l ~ p衰減率。
  4. It is proved that hyperbolic - secant pulses ( solitons ) have inherent ability to suppress pmd, this adaptive ability is due to the balance between nonlinear xpm effect and pmd effect. it is studied on the influence of polarization - mode dispersion on wdm system in this dissertation

    大量研究已經證實了雙曲正割形脈沖（孤子）對偏振模色散具有本徵抑制能力，這種自適應能力歸功于交叉相位調制效應與偏振模色散效應之間達到平衡。
  5. The mostly conclusion of this part is as follows, on the conditon of travelling wave, the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation, kaup - kupershmidt equation, the fifth order kdv equation, fisher - kolmogorov equation, on the help of the computer algebraic system ( maple ), are explicitly established by making use of the hyperbolic function method. this part is maken up of three sections

    本部分的主要結論如下，利用雙曲函數展開法，在行波條件下，對sawada - kotera方程， kaup - kupershmidt方程，五階kdv方程， fisher - kolmogorov方程，等幾類非線性波動方程求解，將其孤立波表示為雙曲函數的多項式，從而將非線性波方程的求解問題轉化為非線性代數方程組的求解問題，並藉助于計算機代數系統求解非線性代數方程組，最終獲得了這些非線性波動方程的若干精確孤立波解。
  6. The large time behaviors are studied to the initial - boundary problems of 2x2 nonlinear hyperbolic system of conservation laws with relaxation and 2x2 nonlinear system of viscoelasticity in this thesis

    本文研究具有鬆弛源項的2 2非線性雙曲守恆組和2 2非線性粘彈性方程組的初邊值問題解的大時間性態。
  7. In this paper, a class of the second order accurate explicit gauss schemes with staggered grids for the computation of solutions of hyperbolic conservation laws are presented, the advantages of these schemes are : riemann solver - free, faster and programming is much simple, no complete set of eigenvectors is needed and hence weakly hyperbolic system can be solved. in one dimensional case, these schemes are and total variation diminishing and convergence under the restriction of cfl condition, the convergence rate is the first order, and a pointwise error bound is presented

    本文在交錯網格的情況下，利用gauss型求積公式構造了一類求解雙曲守恆律的時空一致二階顯式gauss型差分格式，這類gauss型差分格式，具有不需要求解riemann問題、計算簡單、工作量少、編程簡便等優美特點，而且由於這類格式在應用於求解方程組的時候，不需要對方程組進行特徵分解，因此可應用於求解非嚴格的雙曲守恆律方程組。
  8. The mathematics - mechanization method is applied the field of differential equations. many algorithm for constructing solitary wave solutions for a class of nonlinear wave equations are given, and implemented in a computer algebraic system, such as the hyperbolic tangent function method and the hyperbolic function method etc. exact solitary wave solutions of a great deal of nonlinear equations are gained

    將機械化數學方法應用於偏微分方程領域，建立了構造一類非線性波方程的精確孤立波解的許多演算法，如，雙曲正切函數展開法，雙曲函數方法等，並在計算機數學系統上加以實現，因而推導出了一批非線性波方程的精確孤立波解。
  9. In chapter 1, the thesis studys the following cauthy problem to hyperbolic system with nonlinear relaxation term we prove that for the initial value with bounded c1 norm, there exists a unique global smooth solution for the cauthy problem ( 1 ), ( 2 ) ; in chapter 2, the thesis considers the following hyperbolic system with relaxation term and the sclar conservaton law equation when e is fixed, for a certain class of initial data, in the large time station, the thesis gets a determined lp ( p > 2 ) decay rate between the golbal smooth solutions of system ( 3 ) and the rarefaction waves solution of equation ( 4 )

    在第一章中，研究如下帶非線性鬆弛項的雙曲組的柯西問題證明了，對c ~ 1模有界的初值，柯西問題（ 1 ） ， （ 2 ）存在唯一的整體光滑解。在第二章中，考慮如下帶鬆弛項的雙曲組和單守恆律方程u _ t + f （ u ） _ x 0 ， （ x ， t ） r r ~ + 。 （ 4 ）當固定時，對一類初值，得到方程組（ 3 ）柯西問題的整體光滑解與方程（ 4 ）的稀疏波解間在大時間狀態下的l ~ p （ p 2 ）衰減率。
  10. Based on pseudo compressibility, two - dimensional low - speed flows are numerically simulated by solving euler and navier - stokes equations. the pseudo - compressibility term is introduced to the continuity equation of incompressible governing equations, which results in a closed hyperbolic system of equations

    通過在不可壓連續性方程中引入擬壓縮項，使控制方程成為一個封閉且可以沿時間方向推進求解的雙曲型偏微分方程組。
  11. One of most effectively straightforward methods to construct travelling solitary wave solutions is tanh - function method. the algorithm is based on the fact that the solitary wave solutions are essentially of a localized nature. seeking solitary wave solutions which are in terms of hyperbolic tangent function gives a nonlinear system of algebraic equation

    尋求非線性演化方程孤波解的雙曲正切方法是直接代數方法中最為有效的方法之一，其基本原理是利用非線性演化方程孤波解的局部性特點，將孤波解表示為雙曲正切函數的多項式，從而將非線性演化方程的求解問題轉化為非線性代數方程組的求解問題。
  12. In the second part of the thesis, we consider a one - dimensional dynamical system with only one discontinuous - critical point and prove that the set of periodic points is uniform hyperbolic if such a map is globally expanding. han shuguang ( dynamic system & ergodic theory ) directed by prof. cao yongluo

    本文第二部分對具有唯一臨界間斷點的一維映射的動力學性質進行了探討，利用最大單調區間的辦法，由映射的整體擴張性證明了映射的周期點集的一致雙曲性。
  13. A two - dimensional hyperbolic system of nonlinearconservation laws with functional solutions

    具有泛函解的二維非線性雙曲型守恆律組
  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. This article studies the existion of homoclinic orbit bifurcation of sirs modle, moreover, it determines the relative location of stable manifolds and unstable manifold of hyperbolic fixed points of this system, therefore, it shows the parameter range of existing limit circle

    本文討論了具有暫時免疫傳染病模型同宿軌道分支的存在性，利用melnikov函數確定了該系統雙曲不動點的穩定和不穩定流形的相對位置，從而給出存在極限環的參數范圍。
  16. Hyperbolic positioning system

    雙曲線定位系統
  17. The method of characteristics is a method, using a system of compatible partial differential equations in place of the original hyperbolic system of quasilinear partial differential equations to solve

    對于雙曲型的擬線性偏微分方程組，可以在特徵線上，構造相應的一組相容方程來求解，這就是特徵線方法。
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