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- A permeable tensor evolution equation of equivalently continuous medium has also been developed. 基於岩體裂隙的損傷變形,提出了裂隙岩體滲透張量演化方程。
- In the article we show the decay of the solution for some nonlinear evolution equation of second order by using a difference inequality. 本文應用一個差分不等式證明了一類二階非線性發展方程初邊值問題整體解的衰減性質.
- The major contents in this paper include: the exact solutions of the non-linear evolution equation and the integrable system. 本文研究的內容主要包括兩個方面:非線性發展方程的精確解與可積系統。
- The paper studies the global existence, asymptotic behavior and blowup of weak solutions to the initial bounary value problem of a nonlinear evolution equation. 摘要研究一類非線性發展方程初邊值問題整體弱解的存在性、漸近性和解的爆破問題。
- The advantages are via immunity operation to maintain diversity of the antibodies, and the speed of convergent are improved by using evolution equation. 演算法的主要特點是利用免疫處理操作,提高種群的多樣性,利用進化方程提高收斂速度。
- Finally, they take advantage of the fixed point method for some contraction mapping and get the solvability of the inverse problem for the evolution equation. 最後,利用壓縮映射不動點方法,得到反問題的可解性.
- For the computational stability of linear evolution equation, the condition of CLF for judging the computational stability of initial value problem is introduced. 針對線性發展方程的計算穩定性問題,介紹了判定線性發展方程初值問題的穩定性判別條件:CLF條件。
- According to basic damage principle, the shear damage variable of rock and the pull damage variable of grout body are defined, and the damage evolution equation is suggested. 摘要根據損傷理論的基本原理,分別定義了岩體剪切損傷變數和受拉漿體材料的損傷變數,確定了各自相應的損傷演化方程;
- YANG Zhijian,SONG Changming.On the existence and nonexistence of global solutions for a class of nonlinear evolution equation[J].Acta Math Appl Sinica,1997,20(3):321-331. [9]楊志堅;宋長明.;關於一類非線性發展方程整體解的存在性問題[J]
- Indeed, it is not clear whether one should interpret the Dirac equation as a quantum mechanical evolution equation, like the Schrodinger equation for single particle. 而時下一部理論的發展,一種數學語言是不可缺少的,只要人們試圖潛心地思考和研究物理學問題及物理現象。
- First, by virtue of semigroup theory, the considered system is converted into an evolution equation in abstract space and the uniqueness of the solution to the evolution equation is proved. 首先將所討論的系統化為抽象空間中的發展方程;並利用Co半群理論給出閉環系統解的存在唯一性.
- Three eigenvalue problems associated with the same isospectral evolution equation are proposed. The corresponding nonlinearized eigenvalue problems and their relations are studied by the reduction procedure. 摘要通過約化理論,研究了對應於同一離散孤立子方程族的三個離散特徵值問題的非線性化特徵值問題以及它們之間的關係。
- It is shown that at the high-frequency limit, the evolution of the wave is governed by a nonlinear evolution equation, which is an extension of the well-known Benjamin-Ono equation. 在高頻率假設下,分析得到控制波的演化的非線性方程,且該方程是著名的Benjamin-Ono方程的推廣,並對新的方程進行了數值計算,得到簡單孤立波解。
- By setting up a basic evolution equation, analyses the operating mechanism and characters of the system in terms of non-stability, diversity (bifurcation), catastrophe and random fluctuation. 建立了系統的基本演化方程,並據此分析說明了知識創新系統的不穩定性、多樣性、分岔、突變以及隨機「漲落」等特徵和作用機制。
- In order to choose rock cover of Xiamen subsea tunnel now,3D elastoplastic constitutive relation and damage evolution equation for 4 profiles has been done along the longitudinal of the tunnel. 在廈門海底隧道軸線的地質剖面圖上,選取了4個典型的剖面,應用多裂隙岩體三維彈塑性本構關係和損傷演化方程進行數值分析研究,得到了應力分佈、洞周位移、塑性區、損傷區等結果。
- Furthermore, the global minimum of the error function is verified to be the terminal attractor of the error evolution equation, which guarantees the NNs learning process converge within finite time. 且最優值點即是誤差演化方程的終端吸引子,從而又保證 了網路的學習過程能在有限時間內產生收斂。
- The nonexistence of global weak solution to elliptic equation and the evolution equation, together with the nonexistence of local weak solution to hyperbolic equation is contained in this paper. 本文運用試驗函數法研究了帶有非局部源的偏微分方程的全局弱解的不存在性,內容包括橢圓方程、發展方程全局解的不存在性以及雙曲型方程的局部弱解的不存在性。
- The extended homogenous balance method is applied to find solitary wave solutions of nonlinear evolution equations. 摘要為了求非線性發展方程的孤立波解,提出了齊次平衡法的擴展應用。
- In this thesis, we study systematically and allsidedly soliton perturbation theory for a sort of nonlinear evolution equations. 本文系統地、全面地研究了一類重要的非線性演化方程的孤子微擾問題。
- M. J. Ablowitz and P. A.Clarkson,Solitons,Nonlinear Evolution Equations and Inverse Scattering,Cambridge University Press, 1991. 劉式適,劉式達編著,物理學中的非線性方程,2000第一版,北京大學出版社。