quasilinear equation 中文意思是什麼

quasilinear equation 解釋
擬線性方程
  • quasilinear : 擬線性的
  • 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. 2. nonlinear source term identification problem about a quasilinear parabolic heat equation is investigated. for the given function determined, the existence and the uniqueness of the solution of the state equation are proved and the dependence of the solution of the state equation on the identification parameter is discussed ; then the identifiability is verified ; through choosing suitable basic functions, the above identification problem can be transformed into a constant coefficients identification problem ; and an practical iterative algorithm for solving the identification problem is presented, the feasibility and validity of the algorithm is verified by the numerical experiments

    2 、研究一擬線性拋物型熱傳導方程非線性未知源項的識別問題;對于給定識別函數,論證了狀態方程解的存在惟一性、方程解與識別函數的依賴關系和可識別性;通過選取適當的基函數,把對非線性源項的識別轉化成常系數識別問題;給出了實現非線性源項識別的迭代演算法,通過數值實驗證明了演算法的有效性。
  2. By use of - perturbation method with spatial discretization, the hydraulic transient system controlled by quasilinear partial differential equation was converted to a time - continuous linear system, so that the inverse problem of hydraulic transients under limited pressure could be sol ed with the optimal control theory for time - continuous systems

    採用-攝動法並經過空間離散,將由擬線性偏微分方程式控制制的有壓瞬變流系統轉化為時間連續線性系統,從而使有壓瞬變流限壓控制反問題能應用時間連續系統最優控制理論來求解。
  3. Stability of solution of a class quasilinear elliptic equation, acta mathematictae sinica, english series. vol. 18, no. 3 ( 2002 ) 461 - 470

    無界域上一類橢圓方程無窮多解的存在性,數學學報, 2002年第4期。
  4. The radial solutions of 2 - order quasilinear elliptic equation

    二階擬線性橢圓型方程徑向解的存在性
  5. A quasilinear equation is one in which the highest-order derivative appears linearly.

    最高階導數線性地出現的那種方程是準線性方程。
  6. Multiplicity of positive solutions for neumann problem of a quasilinear degenerated elliptic equation

    問題正解的多重性
  7. Have appeared on the existence of infinitely many solutions and on the multiplicity of positive solution of dirichlet problem, but only few results on the existence of infinitely many solutions and the multiplicity of positive solution of neumann problem. recently, the remarkable result about neumann problem is the work of zhang guiyi and shen yaotian on the existence of infinitely many solutions of a general critical quasilinear elliptic equation with a nonlinear critical boundary condition

    在擬線性橢圓方程的研究中,關于dirichlet問題多解和正解的多重性已經有了相當多的結果,但對neumann問題多解和正解的研究尚不多,近期的主要結果是張桂宜、沈堯天關于臨界擬線性橢圓方程及臨界增長的neumann問題的多解。
  8. In forth chapter, several difference methods that are suitable for solution of quasilinear equation are presented, namely, one step lax - wendroff scheme, two step lax - wendroff scheme, mac cormark scheme, tvd scheme, harten tvd scheme with two - order precision. all of them are applied to simulate the same traffic - flow question and choose the best scheme under the consideration of their results. in fifth chap ter, power function traffic - flow model and harten tvd scheme with two - order precision are applied to simulate red - green signal traffic - flow, including isolated, synchronous and synchronous changing red - green signal case

    在第4章中,給出了適于求解擬線性方程的幾種差分格式,即一步lax - wendroff格式、二步lax - wendroff格式、 maccormark格式、一階tvd格式、 harten二階tvd格式,並用上述5種格式對同一簡單的交通流問題進行了數值模擬,利用數值結果,篩選出最適合求解具有強間斷特性的交通流問題harten二階tvd格式。
  9. Three positive solutions to boundary value problems for a class of quasilinear differential equation systems

    一類擬線性微分方程組邊值問題的3個正解
  10. Three positive solutions for second order quasilinear differential equation system of boundary value problems

    二階擬線性微分方程組邊值問題的三個正解
  11. Local regularity result of very weak solutions for a class of quasilinear elliptic equation

    一類擬線性橢圓型方程很弱解的局部正則性
  12. Existence and multiplicity of positive entire solutions for a class of quasilinear elliptic equation

    一類擬線性橢圓型方程正整體解的存在性
  13. A class of singularly perturbed generalized boundary value problems for quasilinear elliptic equation of higher order

    一類高階擬線性橢圓型方程奇攝動廣義邊值問題
  14. Comparing to linear equtions and quasilinear equations without degeneracy, such equations, to a certain extent, reflect even more exactly the physical reality. therefore, studying the optimal control problem of such equation is more important for practical use

    與線性方程和不具退化性的擬線性方程相比,這類方程更能反映某些物理實際,因此研究由這類方程支配系統的最優控制問題更具有現實意義。
  15. Maximal attractor for quasilinear parabolic equation

    一類擬線性拋物型方程的最大吸引子
  16. On a quasilinear degenerate parabolic equation

    關於一類擬線性退化拋物方程
  17. The present paper provides a class of quasilinear pseudohyperbolic equation of the existence of classical solutions of the first boundary value problem under some suitable structure conditions

    摘要在一定條件下,證明一類擬線性偽雙曲方程的第一初邊值問題古典解的存在性。
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