邊值解 的英文怎麼說
中文拼音 [biānzhíjiě]
邊值解
英文
boundary value solution-
We attach the boundary conditions to the steady-state solution u(x).
我們把邊值條件聯繫到定態解U(x)上。Asymptotic stability of viscous shock profiles for one - dimensional viscous conservation laws with boundary effect
一維粘性守恆律初邊值問題粘性激波解的漸近穩定性By the polygonal approximation method, a global approximation solution is constructed for the initial - boundary value problem of nonconvex scalar conservation laws with two - side boundary effect, and its convergence to the global weak entropy solution of the corresponding problem is proved
摘要使用折線逼近法,對具有兩條邊界影響的非凸單個守恆律初邊值問題構造了整體近似解,並證明其收斂到初邊值問題的整體弱熵解。Thirdly, we obtain multiplicity of solutions for resonant non - homogeneous boundary perturbations from symmetric problem without parameter by a new perturbation method introduced by bolle in reference [ 4 ], applied in references [ 5 ] [ 6 ] and extend in reference [ 7 ]. references [ 5 ] [ 6 ] have considered some exceptive case while the section consider general case
再次,利用bolle在文獻[ 4 ]中提出的、被應用於文獻[ 5 ] [ 6 ]以及在文獻[ 7 ]中被推廣的一種新的擾動方法得到問題即不帶參數的對稱共振非齊次邊值擾動問題的多重解,在文獻[ 5 ] [ 6 ]中討論了非線性項為摘要幾種特殊情形的情況,此部分討論非線性項為一般情形的情況For obtaining the numeral solutions of round elastic plates in axisymmetrical deformation with varying - thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field, by establishing the equations of motion, the equations of distortion, the equations of lorentz force, the equations of electronic dynamic mechenical, and adopting iterative method, we gained the nonlinear magneto - elastic calculation method and outcome of current - carrying shell, and gained the influencing degree toward mechanical parameter of varying thickness round ferreous plates in the electromagnetic field and mechanical field
摘要為了獲得內邊界固定的環形導電薄板在均布力與橫向磁場作用下的變形問題的數值解,通過建立運動方程、變形方程、電動力學方程和洛侖茲力方程,運用迭代法得出了載流板殼的非線性磁彈性的計算方法和結果,以及機械場、電磁場對鐵質變厚度圓板各力學參量的影響程度。Multiple positive solutions of singular boundary value problem for second order differential equations on half line in banach spaces
空間中二階奇異微分方程無窮邊值問題的多重正解There are three sections in this paper. the first section : we consider the initial boundary value problem on half line and bounded interval, with kato ' s method for abstract quasi - linear evolution equations and a prior estimates of. solution, we get the existence of global smooth solution and the blow - up of solution in finite time under some conditions
第一部分:考慮了camassa ? holm方程在半無界和有界區域上的初邊值問題,用kato關于擬線性演化方程的初值問題的理論及先驗估計的方法,證明了整體解的存在性,及在一定條件下,解在有限時間內的blow ? up 。Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located
首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式:然後利用疊加原理,選擇合適坐標系,求解了導體球中時諧電流元的修正磁矢量位邊值問題,得到了問題的解析解;最後依據不同坐標系下電磁場解的轉化原理,藉助勒讓德多項式和n次1階球諧函數的加法公式,將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解,給出了球內電場和球外磁場的並矢格林函數。The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given
利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式;以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系,寫出了引入二階矢量位的過程;以時諧場矢量邊值問題為例,闡明了不同坐標系下電磁場解的相互轉化原理,給出了一個解析解的轉化例子;在球坐標下,引入了較球矢量波函數更普遍的兩類矢量函數,給出了其在球面上的正交關系。The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. some results are improved
摘要本文運用整體反函數理論證明了一類半線性方程邊值問題周期解的存在唯一性,推廣和改進了已有的一些結果。Positive solution of some singular p - laplace equations
方程邊值問題的正解On the boundary value problem of the second order stationary wave diffraction potential
關於二階波浪繞射勢穩態解邊值問題Both initial and boundary-value problems, including displacement, traction and mixed boundary conditions are solved.
解決了初始和邊值問題,包括位移的、曳力的和混合的邊值條件。In this dissertation, we firstly prove that any dirichlet problem is indeed equal to a voltages problem of networks. we give five solutions to dirichlet problem in two dimensions ; among these five solutions, we prove that the iteration solution and the solution of relaxations are exponential convergence, then we estimate their respective convergence rates ; secondly, we discuss random walks on general networks, prove that there is an one to one correspondence between networks and reversible ergodic markov chains ; thirdly, we give probabilistic interpretation of voltages for general networks : when a unit voltage is applied between a and b, making va = 1 and vb = 0, the voltage vx at any point x represents the probability that a walker starting from x will return to a before reaching b ; furthermore, we study the relationship between effective resistance and escape probability : starting at a, the probability that the walk reaches b before returning to a is the ratio of the effective conductance and the total conductance
本文證明了任何邊值的dirichlet問題都可轉化為求解電路電壓的問題:給出了計算平面格點上dirichlet問題的5種方法:證明了迭代法和松馳法都是指數收斂的,並分別給出收斂速度的估計;討論了一般電路上的隨機徘徊,驗證了電路與可逆的遍歷markov鏈是一一對應的;給出了電路電壓的概率解釋:當把1伏電壓加於a , b兩端,使得v _ a = 1 , v _ b = 0時,則x點的電壓v _ x表示對應的markov鏈中,從x出發,到達b之前到達a的概率;進一步地,給出了逃離概率與有效電阻之間的關系:從a出發,在到達b之前到達a的概率為有效傳導率與通過a的總傳導率之比。Boundary element solution to a class of periodical heat conduction equation
一類周期性熱傳導方程的邊界元數值解法In this paper, we consider mixed boundary problem of p - laplacian equations in a bounded domain of rn
摘要研究空間中有界區域混合邊值問題的正解存在唯一性。In this paper, we study the existence of global solution and its property of the initial boundary value problem for camassa - holm equations and ginzburg - landau equations
本文研究了camassa ? holm方程和ginzburg ? landau方程初邊值問題整體解的存在性及其性質。全文共分三個部分。The second section : under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of camassa - holm equations with dissipative. by using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth s olution, global attractor in h ~ ( 2 ), t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved
第二部分:在非線性控制邊界條件之下,對于帶耗散項的camassa ? holm方程的初邊值問題,用壓縮映射不動點原理及先驗估計方法,證明了整體光滑解的存在性、整體解的指數穩定性、 h ~ 2空間中整體吸引子的存在性以及時間周期解和殆時間周期解的存在性。In this paper, by using the property of fourier series a compound series consisting of trigonometric series and power series is established
摘要利用由三角級數和冪級數復合構成的函數項級數的有關性質,得到了一類變系數非齊次調和方程邊值問題的級數解。Monotone iteration method and upper and lower solutions were used to approach to the solution of the first - order integral boundary value problem on time scales form below and above by monotone convergent sequence
摘要運用單調迭代方法和上下解方法構造了兩個單調序列,從上下兩個方向分別收斂到一階積分邊值問題。分享友人