第三邊值問題 的英文怎麼說

中文拼音 [dìsānbiānzhíwèntí]
第三邊值問題 英文
third boundary-value problem
  • 第 : Ⅰ助詞（用在整數的數詞前 表示次序） auxiliary word for ordinal numbers Ⅱ名詞1 [書面語] （科第） gr...
  • 三 : Ⅰ數詞1. （二加一后所得） three 2. （表示多數或多次） more than two; several; many Ⅱ名詞（姓氏） a surname
  • 邊 : 邊Ⅰ名詞1 （幾何圖形上夾成角的直線或圍成多邊形的線段） side; section 2 （邊緣） edge; margin; oute...
  • 問 : Ⅰ動詞1 （請人解答） ask; inquire 2 （詢問; 慰問） question; ask about [after]; inquire about [aft...
  • 題 : Ⅰ名詞1. （題目） subject; title; topic; problem 2. （姓氏） a surname Ⅱ動詞（寫上） inscribe; write
  • 第三 : third第三帝國 [德國] the third reich （1934 1945）; 第三 （層）樓 [美國] third story; [英國] seco...
  • 邊值 : boundary values邊值法 method of bound; 邊值觀測 boundary value observation; 邊值控制 boundary val...
  • 問題 : 1 （需回答的題目） question; problem 2 （需研究解決的矛盾等） problem; matter 3 （事故或意外） tr...
  1. The third initial - boundary value problems of parabolic hessian equations

    方程的第三初邊值問題
  2. The former three chapters considers the initial - boundary value problem for the nonlinear wave equation in a bounded domain fi c rn. chapter 2 investigates the problem with a, g and / like ( v2 ) = ( 1 + v2 ) - 1 / 2, g ( v ) = - | v | pv, p > 0 and f ( v ) = | v | mv, m > 0, respectively

    論文的主要內容分為四章，前三章主要研究定義在有界區域上的非線性波動方程的初邊值問題在第二章中（ v ）形式如（ 1 + v ~ 2 ） ~ （ - 1 / 2 ）
  3. Because 3d surface model contains huge number of triangles, a mesh simplification algorithm based on triangle edges shrinkages is presented in this paper to speed up the rendering in real time. in chapter four, the cutting of reconstructed 3d models is explored. in order to observe expediently the size and interspaces structure of inner tissues and avoid the discommodiousness of surface reconstruction, a simple cutting methods based on ray - casting algorithm is presented to get the inner images information

    第三章主要對marchingcubes （ mc ）表面重建演算法進行描述， mc演算法是基於規則體數據抽取等值面的經典演算法，本文實現了這種等值面構建表面模型的演算法，並對其演算法的二義性進行了相應的處理；針對其重建速度較慢的問題，提出了體素間相關性處理的方法來加快重建速度；並對其生成的表面幾何模型所包含三角面片數量巨大的問題，提出一種快速有效的三角形邊收縮演算法進行網格簡化，提高了表面模型的繪制速度。
  4. Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations

    第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。
  5. In section 2. 2, by a priori estimates and fourier spectral method, we prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the large time error estimate between spectral approximate solution and the exact solution. in sections 2. 3 and 2. 4, by a priori estimates and galerkin method, we prove the existence of the global smooth solution and global attrac - tors for the initial - boundary value problem. chapter 3, consider the initial - boundary value problem of the multidimen - sional non - homogeneous gbbm equations

    第二章，考慮一類一維非齊次bbm方程，在第二節中利用fourier譜方法和先驗估計證明了具有周期初值問題的整體光滑解的存在性和唯一性，給出了fourier譜近似解和精確解的長時間誤差估計；在第三、四節中討論了初邊值問題，利用與時間t無關的一致先驗估計，證明了整體光滑解和整體吸引子的存在性。
  6. The extend work of my doctoral research is introduced in the part. problems of cavitation noise are investigated with three methods such as theory analysis, numerical simulation and experiment research. mixed boundary element method is put forward to solve acoustics of bubble collapse by author

    第二部分：空化噪聲研究該部分工作是作者博士期間工作的延續，對空化噪聲問題從理論分析方面、數值模擬及實驗三方面進行研究，應用作者提出的混合邊界元方法求解了空泡在邊界附近潰滅時的輻射噪聲問題。
  7. The stability of cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition ; we apply some results of the first partition to the second partition and solve the stability of the solution to the cauchy singular integral equation. finally, on the basis of the stability of the cauchy type integral, we study the stability of the solution to the riemann boundary value problem when the contour perturbs smoothly

    在第一部分中，我們主要討論了cauchy奇異積分在積分曲線發生光滑擾動時的穩定性問題；而在第二部分中，我們把第一部分的結果應用到cauchy奇異積分方程，導出了其關于積分曲線攝動的穩定性的研究及其一些結果；最後，在第三部分中，我們在研究cauchy型積分關于積分曲線的穩定性問題的基礎上，探討了riemann邊值問題的穩定性問題。
  8. We study in this paper the filtration problem in partially saturated layered porous media in one dimensional. that is the thid problem boundary value problem of on dimensional degenerate quasi - linear elliptic - parabolic equation with discontinuous coeffi - cients. the existence, uniquess of the solutions and some properties of the solution are proved

    本文主要討論一維有限雙層多孔介質中部分飽和的滲流問題，即具有間斷系數的一維擬線性橢圓-拋物退化方程的第三邊值問題。證明了該問題的解的存在性、唯一性及弱解的邊界性質。
  9. Chapter 3 consider the initial - boundary value problem utt - where q is a bounded demain in rn with smooth boundary 3q ; with m ( s ) is a nonnegative c1 - function for s > 0 satisfying with we show that under certain conditions the solution blow up in finite time. chapter 4 consider the initial - boundary value problem and < ? > 2. we show the decay rate of the solutions of the equation

    第三章我們考慮了定義在具有光滑邊界的有界區域上的kirchhoff型方程初邊值問題其中0 ， r ， p 1 ， q 1 ， 1 ；當s 0時， m （ s ）是空間c ~ 1中的非負函數，且滿足其中， 0 ， 2這章我們給出了上述方程解的有限時刻爆破條件。
  10. Chapter 6, consider a coupled generalized kdv - burgers equation. in section 6. 2, we study the initial - boundary value problem in the semi - unbounded domain, the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time. in section 6. 3, the cauchy problem by using the weighted space, the existence of the global attractors for a coupled generalized kdv - burgers in an semi - unbounded domain is proved

    第六章，考慮了一類廣義耦合的kdv - burgers方程，在第二節中討論了半無界區域上的初邊值問題，證明了整體光滑解和整體吸引子的存在性；在第三節中討論了cauchy問題，利用加權函數和加權空間上的插值8不等式，證明了半無界區域上整體吸引子的存在性。
  11. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  12. 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
  13. This thesis aims to analyze how to select and assign prestressed tendon, how to design anchorage bearing joint, how to control the crack, how to calculate the axial prestressed force and the third moment and how to design the edge column of top layer. on the base of the research in and out our country and construction of the prestressed structure, some helpful conclusion and suggestion are presented, which is suggestive for the design and construction of long span continuous prestressed concrete frame

    本文將綜合設計與施工兩個方面，對預應力筋的選用、布置，錨固區的設計及構造處理，裂縫問題，側向約束對梁軸向預壓應力及柱中第三彎矩的影響，頂層大跨邊柱設計等幾個問題進行系統的分析研究，並在國內外研究和大量工程實踐的基礎上，提出了一些建議和預防措施，對此類工程設計和施工有一定的參考價值。
  14. By comparison, it was clear that the bem could solve the problem not only effectively but also precisely. in the second chapter the theory of weighted residual technique is illustrated and the boundary integral function of the potential problem is deduced by it. methods of obtaining green ' s function fundamental solutions in infinite region and semi - infinite region are presented

    第二章首先說明了加權余量法的原理，並由此推出了勢問題的邊界積分方程，還介紹了無限域和半無限域中格林函數基本解的求法，以及多介質域和第三類邊界條件的處理方法，最後說明了邊界積分方程的數值解法。
  15. Chapter 3 introduces the main ideas of the probabilistic numerical method and applies it to the harmonic boundary value problem over bounded plane domains

    第三章首先介紹概率數值方法總的思路，然後對平面有界區域上，調和方程的第一邊值問題提出了概率數值方法。
  16. Existence of solutions to a class of non - local elliptic equation with the third boundary - value problem

    一類帶有第三類邊值問題的非局部橢圓方程解的存在性
  17. In this paper, these two methods are employed to consider three kinds of singular perturbation boundary value problems. in the first section, the existence of solution for a class of non - linear systems with three - point boundary problem is obtained by applying the differential inequality theory. in the second section, we use the differential inequality theory to discuss the non - monotone interior layer solution for one kind of singularly perturbed quasilinear boundary value problems with a turning point. in the third section, the diagonalization method is applied to study the existence of solution for a class of vector differential systems with two - point or three - point boundary problems. meanwhile, the asymptotic estimate of the solution as well as its first - order derivative and its second - order derivative is obtained

    在第一部分中，我們應用微分不等式理論證明了一類非線性系統三點邊值問題解的存在性；在第二部分中，運用微分不等式理論研究了一類帶有轉向點的擬線性奇攝動邊值問題的非單調內層解；在第三部分中，利用對角化方法研究了一類向量二點或者三點邊值問題解的存在性，並獲得解及它的一、二階導數的漸近估計。
  18. The formulation for the error analysis of acoustic radiation problem calculated by the boundary point method ( bpm ) is put forward ; the physical explanation of the boundary point analysis of the acoustic radiation problem is given ; the influence of the particular solution on the calculation stability of the bpm is studied ; the etthanced volume source boundary point method ( evsbpm ) is presented ; a test for the effectiveness of the evsbpm is carried out on the aspects of its calculation precision, calculation speed, calculation stability, adaptation to the geometric shape of vibrating body as well as its ability to overcome the non - uniqueness problem through various examples with different boundary shapes and different boundary value distributions

    第三章導出了邊界點方法分析振動聲輻射問題的誤差估計理論公式，揭示了邊界點方法分析振動聲輻射問題的物理本質；研究了特解場的局部特性對邊界點方法的數值穩定性的影響；改進了現有的特解場構造方法，提出了改進體積源邊界點方法；通過諸多不同邊界曲面和不同邊界量分佈的聲輻射算例，從計算精度、計算速度、計算穩定性、對振動體表面幾何形狀的適應性以及克服解的非唯一性等方面，對改進體積源邊界點方法的有效性進行了考證。
  19. Chapetr i is the introduction. we introduce briefly the above mentioned history of degenerate elliptic equations and the geometric background of this class problem we are concerned with

    第三章在一般區域上考慮一類特殊二階退化橢圓型方程邊值問題的適定性及解的正則性。
  20. In particular, its application to partial differential equation, which is concerned by more and more mathematicians, is a very active branch in mathematics research at present. for example, the calderon - zygmund operators of the third era and t ( 1 ), t ( b ) theorem offer the theoretic base of potential method to solve a class of elliptic boundary problems in non smooth domains [ 46 ] ; on the other hand, the lp - lq estimates and space - time estimates of the linear evolution equations offer the nonlinear evolution equations new work spaces, which is established by the estimates of oscillatory integral and potential

    例如第三代calderon - zygmund運算元及t （ 1 ） ， t （ b ）定理，對于非光滑區域上的一類橢圓邊值問題，提供了用位勢求解的理論基礎[ 46 ] ；又如以振蕩積分估計及位勢估計為基礎，建立線性發展方程的l ~ p - l ~ q估計以及相應的時空估計，為研究發展型方程提供了新的工作空間，這方面的工作參見t
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