波動方程解 的英文怎麼說

中文拼音 [bōdòngfāngchéngjiě]
波動方程解 英文
solution of wave propagation
  • 波 : Ⅰ名詞1 （波浪） wave 2 [物理學] （振動傳播的過程） wave 3 （意外變化） an unexpected turn of even...
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 解 : 解動詞（解送） send under guard
  • 波動 : 1 （不穩定） undulate; fluctuate; unsettle; surge; rise and fall 2 [物理學] wave （motion）; wave...
  1. Unique existence and blowup characteristics of global solution for initial boundary value of a class of nonlinear wave equation of fourth order

    一類具有非線性邊界阻尼和源項的非線性波動方程的解的漸近性
  2. Nonexistence of global solutions for nonlinear wave systems

    非線性波動方程組整體解的不存在性
  3. Abstract : the magnetic moment of a hydrogen atom is calculated by using the solution of the relativistic wave equations. it is shown that the so called total magnetic moment are produced from the electron orbit motion. these results show that the total angular momentum j is actually the relativistic orbital angular momentum

    文摘:利用氫原子的相對論性波動方程解計算了氫原子的磁矩.結果表明，現行量子理論中所謂的總磁矩實際上都是由電子的軌道運動產生的，由此提出了所謂的總角動量實際上是相對論性軌道角動量的看法
  4. Alternatively, one may utilize the wave equation and appropriate boundary conditions to yield a specific solution.

    另外，我們也可以利用波動方程和適當的邊界條件以得出一個特解。
  5. Life span of the classical solutions to wave equation

    波動方程經典解的生命區間
  6. Bolw up of global solutions to quasi - linear wave equation

    擬線性波動方程整體解的爆破
  7. Iterative methods for symplectic algorithm of wave equation

    波動方程辛演算法的迭代求解
  8. Abstract : it is observed that the sommerfeld ' s formula for a progressive spherical wave is not covariant with respectro the rotation of the coordinate system. it contains complex partial waves that are not physical. the standing wave representation of the same formula is shown to be covariant and physical. it is applied to solve the boundary value problem of fiber optics. the radiation modes as well as the guided normal modes are obtained in closed forms. the intensity distribution in various modes is obtained. it is remarked that the mode of critical refraction is missing

    文摘:說明了球面行波的索末菲公式在坐標轉動下不協變.證明了球面波的駐波表示是協變的，因而是一個物理的關系式，故適用於圓柱坐標中各類波動方程的定解問題.作為一個例，應用於光纖光學，導出了受導簡正模和輻射模的表達式，以及各模式的強度分佈
  9. We point out the main influence factor of seismic distinguish in landscape orientation is fresnel zone. we can solve this problem through the high quality wavelet equation migration

    指出了對于橫向解析度的主要影響因素為菲涅爾帶的大小，可以通過高質量的波動方程偏移解決此問題。
  10. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  11. Furthermore, the dual integral equations can be reduced to the fredholm integral equations of the second kind and solved by numerical procedure. at the end of this chapter, the numerical analysis for dynamic interaction characters of saturated half - space / layered ground and circular plate is evaluated. finally, the solutions for 3 - d dynamic responding of elastic rect

    基於橫觀各向同性飽和半空間/有限層地基非軸對稱波動方程的通解，按混合邊值問題建立飽和地基與彈性圓板非軸對稱動力相互作用的積分方程，求解積分方程后得到橫觀各向同性飽和地基上圓板非軸對稱動力響應的一般解，並分析了飽和地基上圓薄板和中厚板振動的若干特徵。
  12. It can be used to create the model data file for the seismic forward modeling semi - automatically. thus, the two primary difficult problems of low efficiency and accuracy have been solved very well. 2. graphic and digital image processing technique are introduced into geological modeling, and some kinds of arithmetic are presented, based on which fast model input for ray tracing and wave equation forward modeling have been both achieved

    首次建立了獨立於大型地震勘探專業軟體的開放式構造地質模型輸入系統，開發了針對于射線層狀結構模型和網格化波動方程模型的輸入軟體，大大地簡化了模型輸入的過程，極大地提高了構造地質模型的輸入效率，解決了以往模型輸入精度和效率不高的兩大難題。
  13. Based on the semi - vector wave equation under cylindrical coordinate system, the mode distribution and complex propagation constant in bent waveguides were computed by a finite difference method with perfectly matched layer ( pml ) boundary condition

    摘要以柱坐標下的半矢量波動方程為基礎，採用基於完美匹配層（ pml ）邊界條件的有限差分方法，對彎曲波導進行模式求解，進而得到波導彎曲引起的輻射損耗。
  14. Uniqueness and existence of solutions and energy estimates for semilinear damping wave eqation

    半線性阻尼波動方程解的存在唯一性及其能量衰減估計
  15. This dissertation mainly investigates the properties of solutions of a class of quasi - linear wave equations with a viscosity, a nonlinear perturbation ( source term ) and a dissipative term ( damping term ), which arises from the longitudinal motion of a visco - elastic material. it contains the problems of existence and uniqueness of solutions, global existence, asymptotic behaviour and finite time blow up, etc. this thesis consists of four parts

    本論文主要研究來自於物體的波動等應用領域中的一類帶有粘性項、非線性擾動項（源項）和耗散項（阻尼項）的擬線性波動方程解的定性性質，內容包括解的存在唯一性，解的整體存在性和漸進性態及解在有限時刻爆破等問題
  16. Essential to their utility is the requirement that the evolution of the basic functions through the propagation environment constitutes a simplified problem with an exact or approximate closed form solution to the original wave equation. the evolution of a spatial fourier harmonic through a homogeneous medium is governed by a reduced wave equation, obtained by applying the fourier transform to the helmholtz equation, with a simple and well - known solution - the plane wave

    這些方法均採用一組具有全局特性的基本函數對波場進行分解，如占據整個空間的富氏調諧函數或充滿各個方向的dirac函數（點源） ，並通過求解基本函數滿足波動方程的精確解或近似解來達到波場外推的目的。
  17. The main work includes : for the torsional vibrations of a rigid disk on saturated media, first, the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated. then, considering the mixed boundary - value condition, the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained, which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures. consequently, the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one

    在前人研究的基礎上，本文基於陳龍珠等曾提出的一組實用飽和土波動方程，用解析或半解析的方法首次較系統而深入地研究了飽和半空間地基與基礎的扭轉振動問題，主要工作有：對于飽和地基上剛性圓板的扭轉振動，作者首先採用hankel變換求解了動力控制方程，得到了該控制方程在hankel變換域內的通解，然後由混合邊值條件建立了飽和地基上剛性基礎扭轉振動時的對偶積分方程，並將其化為易於數值求解的第二類fredholm積分方程，用數值方法計算了基礎的動柔度和扭轉角幅值與振動頻率的關系曲線，並將其與單相彈性介質情況進行了對比分析。
  18. 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。
  19. Thirdly, the method to calculate the 3 - d dynamic responding of layered transversely isotropic saturated soils to an arbitrary buried source in cylindrical coordinate as well as to an arbitrary harmonious source in rectangular coordinate is presented respectively. based on biot ' s wave theory, the 3 - d wave equations in cylindrical coordinate for transversely isotropic saturated poroelastic media are transformed into a group of governing different equations with 1 - order by the fourier expanding with respect to azimuth and hankel integral transform method or by the double fourier transform method with respect to horizontal coordinates in rectangular coordinate. then, transfer matrixes within layered media are derived under the continuous conditions, drainage conditions and the boundary conditions

    基於飽和土的biot波動理論，通過fouricr變換，將橫觀各向同性飽和土三維非軸對稱波動方程轉化為一組一階常微分方程組，再經har止el變換，建立問題的狀態方程，求解狀態方程得到傳遞矩陣;利用傳遞矩陣，結合飽和層狀地基的邊界條件、排水條件及層間接觸和連續條件，首次給出層狀橫觀各向同性飽和地基在任意地展力作用下的三維非軸對稱動力響應的解析解。
  20. Blow - up of the solution for the mixed problem of some nonlinear wave equations

    一類非線性波動方程混合問題解的爆破
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