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 smoothing solution 光滑解(3)
 光滑解
 Globally Smoothing Solution to Euler's Equations with Relaxation Term 具松弛项的欧拉方程组的整体光滑解 短句来源 In this paper,by using Leray-Schauder fixed point theorem,the upper and lower so-lutions method,the energy in tegral estimate methed and so on the author proved the existence and uniqueness of the smoothing solution of the initial bou ndary value problem for a class of nonlinear strongly coupled reaction diffusion syste ms with some appropriate conditions. 应用Leray－Schauder不动点原理，上、下解方法及能量积分估计等，论证了一类非线性强耦合反应扩散方程组初边值问题在适当条件下光滑解的存在唯一性． 短句来源 Taking pressure function and sub-characteristic condition as facts without proof, the globally smoothing solution to Cauchy problem of Euler's equations is proved to be uniquely existed if initial value is in a small C ' norm and initial density is away from state of vacuum. 在关于压力函数和次特征条件的假设下 ,如果初值的C1模具小性 ,且初始密度离开真空状态 ,证明其柯西问题存在唯一的整体光滑解 . 短句来源
 “smoothing solution”译为未确定词的双语例句
 We make the energy inequality about this perturbed problem and prove that, the ormal asymptotic solution is asymptotic expansion of smoothing solution on its existed domaia or original perturbed problem. For the remainder Z, the estimation ‖Z‖=O(ε~2) is valid nifermly n Q. This paper deduces the result of works [2]-[5]. 我们建立了相应的能量不等式,进而导出其余项在某种模意义下的估计式:‖Z‖=O(ε)~2本文拓广了文[2]—[5]的工作。 短句来源
 相似匹配句对
 T's solution. T解集中不出现空集; 短句来源 solution. 溶液进行对照。 短句来源 A Solution for Video Smoothing in Multimedia Communications 多媒体通信中的一种视频平滑方案 短句来源 Globally Smoothing Solution to Euler's Equations with Relaxation Term 具松弛项的欧拉方程组的整体光滑解 短句来源 SMOOTHING FORMULAE 光滑公式 短句来源

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 smoothing solution
 We present several examples illustrating our results and the nature of the smoothing solution and also present equations for covariance analysis of boundary-value descriptor processes including the smoothing error. He also proposes a smoothing algorithm to estimate the volatilities that is shown to be superior to the standard smoothing solution used in QML.
 This paper deals with the singularity perturbed problem of a class of quasilinear hyperbolic-parabolic type equations subject to nonlinear initial-boundary value conditions. First, we construct the outer formal asymptotic solution, which take the smoothing solution of reduced problem as first term. Later, construct directly the boundary layer On neighborhood of t=0 by using the method of twovariable expansion. Moreover, we make the energy inequality about this perturbed Problem and Prove that, the formal... This paper deals with the singularity perturbed problem of a class of quasilinear hyperbolic-parabolic type equations subject to nonlinear initial-boundary value conditions. First, we construct the outer formal asymptotic solution, which take the smoothing solution of reduced problem as first term. Later, construct directly the boundary layer On neighborhood of t=0 by using the method of twovariable expansion. Moreover, we make the energy inequality about this perturbed Problem and Prove that, the formal asymptotic solution is asymptotic expansion of smoothing. solution in its existed domain Q for original Perturbed problem. For the remainder z, the estimation ‖z‖ = O(ε~2)is valid uniformly on Q. This paper deduces the result of work[2][3]. 本文研究一类拟线性双曲—抛物型方程具有非线性初边值条件的奇摄动问题。首先构造以退化问题的光滑解为首项的外部形式渐近解,然后应用两变量展开直接构造边界层的方法,构造初始时刻附近的边界层项。最后建立这类摄动问题的能量不等式,从而证明了在原摄动问题光滑解存在的区域Q内,以上述形式渐近解为其渐近展开式,其余项在所考虑的区域上一致成立估计:‖z‖=O(e~2)。本文拓广了文献[2]、[3]的结果。 This paper deals with singularily perturbed problem of a kind of n-dimensional uasilinear hyperbolic-parabolic type equations, subject to nonlinear intial-boundary value onditions. We make the energy inequality about this perturbed problem and prove that, the ormal asymptotic solution is asymptotic expansion of smoothing solution on its existed domaia or original perturbed problem. For the remainder Z, the estimation ‖Z‖=O(ε~2) is valid nifermly n Q. This paper deduces the result of works [2]-[5]. 本文研究一类n维拟线性双曲—抛物型方程,具有非线性初边值条件的奇摄动问题,我们证明了在摄动问题光滑解存在的区域内,具有一致有效的一阶渐近展开式。我们建立了相应的能量不等式,进而导出其余项在某种模意义下的估计式:‖Z‖=O(ε)~2本文拓广了文[2]—[5]的工作。 In this paper,by using Leray-Schauder fixed point theorem,the upper and lower so-lutions method,the energy in tegral estimate methed and so on the author proved the existence and uniqueness of the smoothing solution of the initial bou ndary value problem for a class of nonlinear strongly coupled reaction diffusion syste ms with some appropriate conditions. 应用Ｌｅｒａｙ－Ｓｃｈａｕｄｅｒ不动点原理，上、下解方法及能量积分估计等，论证了一类非线性强耦合反应扩散方程组初边值问题在适当条件下光滑解的存在唯一性． << 更多相关文摘
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