evolution equation 中文意思是什麼
evolution equation
解釋
發展方程-
Global existence, asymptotic behavior and blowup of solutions to a nonlinear evolution equation
漸近性與解的爆破 -
Second, we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability. we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger, that is to say, they benefit the occurance of symmetric instability. third, we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane. non - hydrostatic balance and filiter model
第二，討論了環境位溫與熱成風因子對中尺度對稱不穩定的影響。運用解析的方法求出了擾動流函數的表達式和對稱不穩定的判據，發現環境參考位溫隨高度的變化與熱成風因子使得對稱不穩定臨界理查遜數及擾動的臨界半波長都變大，這有利於對稱不穩定的發生。第三，採用f平面、非靜力平衡、濾聲波模式，討論了中尺度垂直環流非線性攝動分析及演變方程。 -
In this pater, we define a new numerical method called the characteristic mixed finite element method for approximating the solution to two kinds of evolution equation
本文針對兩類發展方程提出一種新型數值模擬方法? ?特徵混合有限元方法。 -
Asymptotic attractors of the nonlinear evolution equation in bounded domain
一類非線性發展方程的漸近吸引子 -
The centre of the dark sector soliton evolution equation is derived by means of particle analytical method, equivalent form dark soliton ' s evolution equation in the photorefractive crystal, esceptialy between tow dark soliton ; the potential expression and it ' s numerically calculation is achieved, the conclusion is drawn : when the distance between two dark soliton = 0, its potential function has minimum, shows there is an stead soliton in the photorefractive maternal, and interaction between two dark soliton raches biggest ; when the distance between two dark soliton 5, its potential function is nearly equal zero, shows that the interaction between two lark soliton is very weak, nearly zero
摘要本文從光折變晶體中能得出暗孤子所滿足的演化方程出發，用粒子分析力法得出了兩暗孤子相互作用時，其質心間的距離所滿足的演化方程，並得出了兩暗孤子相互作用勢函數的表達式，得到其數值解，並得出如下結論：當兩暗孤子間距離= 0時，其相互作用勢函數有最小值，表示在光折變晶體中有穩定的暗孤子對，並且相互作用達到最大；當兩暗孤子距離5時，其相互作用勢函數幾乎為零，表示兩暗孤子間相互作用很弱，幾乎為零。 -
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。 -
An inverse problem for a nonlinear evolution equation
一非線性發展方程的反問題 -
The law of cumulative damage and its evolution equation of concrete under uniaxial tension with constant amplitude is established, and the validity of which is verified by the test results of variable amplitude loading
定義了損傷變量，得到了損傷積累和演化規律。建立了疲勞損傷模型，並用變幅疲勞試驗結果驗證了模型的有效性。 -
Damage evolution equation
損傷演化方程 -
This text studies the fracture rising laws, the expanding direction, the expanding length, discontinuous jointed rock mass constitutive model and damage evolution equation
本文研究了裂隙的起裂準則、擴展方向、擴展長度以及裂隙巖體本構模型和損傷演化方程。 -
( 1 ) the statistical damage constitutive model for rock is improved basing on the hypothesis that the strain in the rock without damage is ideal to that in the damage rock. the hypothesis that all of the stresses in damage evolution equation are effective stresses is realized, and the proplem how to couple plastic strain to damage is solved
主要工作內容如下： （ 1 ）在假設無損巖石的應變和巖石總應變相等的基礎上完善了巖石的統計損傷本構模型推導，實現了損傷演化方程中全部採用有效應力假設和探討了損傷和塑性變形耦合問題。 -
According to the model of structure fatigue damage fractal evolution, the relation between macro - damage variable, fractal damage variable and fatigue life can be found, and the fatigue damage evolution equation of ti alloy tc11 welded joint can be built, and the method of more forecast fatigue damage is given
根據結構疲勞損傷分形演化模型，通過對tc11鈦合金焊接試件的疲勞試驗和疲勞斷口分維數測量，得到了宏觀損傷變量和分形損傷變量與疲勞壽命的關系，建立了tc11鈦合金焊接接頭的疲勞損傷演化方程。給出了進一步疲勞損傷量預測的方法。 -
Aiming at the shortages and demerits in the study of constitutive relationship of concrete based on elastic - plastic mechanics, damage expressions of concrete subjected to uniaxial tension - compression was deduced based on damage mechanics, and general damage evolution equation of concrete in bending state was received also
摘要針對彈塑性力學研究混凝土本構問題帶來的不足和缺陷，運用損傷力學的方法，導出混凝土在單軸拉、壓狀態下的損傷表達式，得到了混凝土在彎曲狀態下的統一的損傷演化方程。 -
In the third chapter, we introduce geometric expansion of convex planar curves. we discuss the evolution equation using minkowski ' s support function with the speed function of curvature and show that the shapes of curves become round asymptotically when the initial closed curves is smooth and convex
限制曲線在外法向上的演化速度是另一類特殊的曲率函數，研究相應的方程，我們得到了在初始為凸的閉簡單光滑曲線的條件下，曲線的最後形狀是漸近地趨於一個圓。 -
Sufficient test data were acquired for investigating the damage and constitutive behavior of concrete. second, according to the fitting of experimental data, the evolution equation of damage is obtained. the main factors affecting the damage development are examined and the causes are expounded
其次，通過對試驗結果的非線性回歸分析，得到損傷演化的經驗表達式，並以此為依據，分別深入地研究了混凝土在經歷過常規三軸受壓和三向等壓等荷載歷史后，抗壓強度和抗拉強度隨荷載歷史增加而發生劣化的演化規律。 -
First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time
首先根據曲線在切向分量上發展是不影響曲線的發展形狀，我們引入了曲線的一些幾何變量的發展方程；其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟；最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族，證明了在初始曲線為凸的閉平面簡單曲線條件下，曲線將保持凸的，並且它的面積和周長將同時收縮，並在有限時間內成為一個點。 -
A developed simple m - s model for image segmentation in geometric active contour model is presented based on intra - region similar and inter - region dissimilar properties. the model constructs an energy ( cost ) function, which is made of intra - region variations and weighting squares of subtraction of region mean values. using gradient - descent methods, the energy function is minimized and we get a curve evolution equation that segments image
基於區域內一致性加權區域間差異性構造能量函數，利用最陡梯度法使能量函數最小化，提出了一種改進的簡化mumford - shah （ m - s ）圖像分割模型，該模型利用區域內方差描述區域內一致性，區域間平均灰度值之差的平方描述區域間差異性，實驗結果表明，通過調節加權系數，該模型對弱邊界圖像分割具有較強的適應性。 -
An n - fold darboux transformation with multi - parameters for coupled nonlinear evolution equation of multi - component hierarchy is set up with the help of a gauge transformation of the spectral problem, from which the exact solutions of the nonlinear equations are given
摘要利用等譜問題的規范變換，為一對耦合的非線性演化方程建立了一個具有多個參數的n -波達布變換，進而求出了該方程的精確解。 -
After a novel speed function based on local gradients of differencing image, object variances and background variances was defined, an improved evolution equation for segmentation curve was obtained, and then different moving objects were segmented
定義了一種新的基於差分圖像的局部梯度、目標的方差和背景的方差的速度函數，得到了改進的分割曲線的演化方程，分割出不同的運動目標。 -
In this paper, the exact expressions of the evolution operator and wave function for a driven time - dependent quantum oscillator are obtained by means of the combination of the inhomogeneous bogoliubov transformation ( ibt ) and the evolution equation associated with a su ( 1, 1 ) h ( 4 ). our results agree well with those derived in [ 3 ], but the present method is more simple and definite
非齊次波戈留波夫變換與su （ 1 ， 1 ） ? h （ 4 ）量子系統的演化方程相結合，給出了求該系統時間演化算符和波函數的精確表達式。作為一個典型例子，我們得到含時受迫諧振子的演化算符和波函數的精確表達式。
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