reaction diffusion equation 中文意思是什麼

reaction diffusion equation 解釋
反應擴散方程
  • reaction : n 1 反作用，反應；反沖；反動力。2 【政治學】反動，倒退；復古（運動）。3 【化學】反應，【物理學】...
  • diffusion : n. 1. 散布，發散。2. 傳播，普及。3. 冗長。4. 【化學】滲濾。5. 【物理學】擴散，漫射。
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. Firstly we deduce hyperbolic function transformation and then apply to a class of reaction diffusion equation and brusselator reaction diffusion model which has physics, chemistry and biology significance. thus we obtain many new exact and explicit solutions ( including solitary wave soluiton, peoiodic wave solution and rational functions solutions ) to above equations

    推導出了雙曲函數變換，利用此方法探討了一類反應擴散方程， brusselator反應擴散方程這些具有物理、化學、生物意義的方程的精確解（包括奇性孤波解，周期解和有理函數解） 。
  2. Collocation methods for a nonlinear reaction - diffusion equation

    一類非線性反應擴散方程的配置方法
  3. Factional step difference scheme for a class of nonlinear reaction - diffusion equation and systems

    一類非線性反應擴散方程及方程組的分數步長差分格式
  4. In the study of the diffusion - reaction equation, the mass diffusion was believed could cause some order - behavior in the reaction, however in shs this effect was n ' t found. it was believed due to that mass could mainly diffuse in a fixed direction in shs, the combustion wave ' s direction

    由於自蔓延過程中，燃燒波基本上是以單一行波的方式蔓延過樣品，因而擴散過程的方向基本是確定的單一方向，在shs過程中的作用主要是引起能量和物質的耗散，沒有導致通常擴散反應可能形成的有序性。
  5. For a convection - dominated diffusion - convection - reaction equation, some new higher order regular estimates about its true solution are derived firstly

    摘要針對對流占優的擴散對流反應方程，首先得到關于真解的一些新的高階正則性估計。
  6. In the numerical solution algorithm, the method of characteristics, analytic method and galerkin finite element method ( galerkin - fem ) can be chosen to solve the advective equation, diffusion equations, reaction ( source / sink ) equations, propagation equations and pressure poisson equation, respectively. the developed new algorithm has been verified using analytical solution of circular conduit flow in a reynolds number range of 100 < re < 1 000 and experimental data of the laminar flow over a backward - step facing step. the flow properties are well characterized by this three - dimensional numerical model

    本論文在評述三維粘性流動數學模型已有研究成果的基礎上，著重在數值計算方法的選擇和定解條件的給定對數學模型計算結果的影響進行了研究，並首次提出了求解三維純對流方程的高精度的擬協調單元法，建立了三維低雷諾數re流動的數學模型，並在圓管流動、臺階突擴矩形管道流動中得到驗證和應用。
  7. In this paper, the unstable interior diffusion equation with precise solution of flaky pellet and the macroscopic reaction rate equation are given

    文章給出了薄片顆粒的不穩定內擴散方程及其精確解，並導出了宏觀反應速率方程。
  8. In chapter 2 and 3, wave front solutions of the delay reaction - diffusion cui - lawson equation and the 2 - dimensional competitive lotka - volterra systems are obtained by constructing an upper solution and a lower solution of a second differential equation with delay. in chapter 4, it is discussed that travelling wave solutions of the delay reaction - diffusion equations whose reaction term do not satisfy quasimonotonicity condition or weak quasimonotonicity condition

    在第二章和第三章，利用一類二階時滯微分方程解的存在性理論，通過構造這類時滯微分方程的上、下解，分別研究了含時滯和擴散的cui - lawson方程和二維競爭型lotka - volterra系統，得到了它們波前解存在的充分條件。
  9. Most of partial differential equation arising from physical or engineering science can be formulated into conservation form : it directly reflects conservation laws in natural sciences. from viewpoints of fluid dynamics, it can be obtained from the mass, momentum, energy conservation laws. because the form ( 0. 2. 1 ) has no other terms such as dispersion, diffusion ( caused by nonuniformity of some physical states ), reaction, memory, damping and relaxation etc, smoothness of solution of ( 0. 2. 1 ) may be loss as times goes on. even for the smooth inital data, solutions of ( 0. 2. 1 ) become discontinuous in a finite time

    由於雙曲守恆律（ 0 . 1 . 1 ）沒有其它項，如色散（ dispersion ） ，擴散（ diffusion ） （某物理量分佈不均勻引起的輸運） ，反應（ reaction ） ，記憶（ memory ） ，阻尼（ damping ）及鬆弛（ relaxation ） （描述非平衡態）等，而僅有輸運或對流項（ convection ） （由於流體的流動引起的輸運）時，守恆律（ 0 . 1 . 1 ）的解失去光滑性（這里不特殊說明守恆律就指該意義下） ，甚至即使光滑的初始數據，解隨著時間的發展會變成不連續，這在物理上表現為激波的形成。
  10. Travelling - wave solutions of a reaction - diffusion equation

    一類反應擴散方程的行波解
  11. Finite - dimensional feedback control of a reaction - diffusion equation

    一類非線性反應擴散方程的有限維反饋控制
  12. As an extension, we shall also consider similar problems for mixed quasimonotone reaction - diffusion systems with nonlocal boundary value conditions which kernel ki ( x, y ) is alternating sign. finally, in chapter 3, we use the above results to investigate the existence of positive periodic solutions and asymptotic behavior of solutions for the logistic equation with nonlocal boundary value conditions

    我們還將非局部邊值條件中的核函數k _ 1 （ x ， y ）推廣到不必定號的情況，對混擬單調反應擴散系統周期擬解的存在性及其局部漸近性態獲得了類似的上、下解方法。
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