unbounded domain造句
例句与造句
- super-brownian motion and one class of nonlineardifferential equations on unbounded domains
超布朗运动与无界区域上一类非线性微分方程 - in chapter 5, we study the existence of the global attrac-tor for the complex ginzburg-landau equation in 3-d unbounded domain
第五章，讨论ginzburg-landau方程在三维无界区域r~3上的整体吸引子。 - some results and techniques used in this work are also applicable to other nonlinear partial differential equations in unbounded domains
本文的主要方法和技巧同样适用于无穷带状区域中的其它偏微分方程的数值求解。 - for the stochasic representation is still correct over unbounded domains, this method can also solve the exterior dirichlet problem
另外，由于在无界区域上解的随机表达式也是成立的，因而可以用来解决dirichlet外问题。 - 5 discuss and study some problems on stability of equilibria of a class of nonlinear parabolic equations and systems with unbounded domains
2共同讨论和研究无界区域上的一类非线性抛物方程和非线性抛物方程组的平衡点的稳定性问题。 - It's difficult to find unbounded domain in a sentence. 用unbounded domain造句挺难的
- firstly, the existence and unique of the solutions h2 on unbounded domains r " ( n > 1 ) was proved by the galerkin method and the method of the domain approximate
首先，利用galerkin方法和对区域作极限的方法证明了在无界区域r~n(n1)上h~2解的存在唯一性。 - this paper is to investigate the numerical simulation of two partial differential equation boundary value problems on unbounded domains, which arc derived from fluid dynamics
本文研究两个由流体力学问题中得到的无界区域上的偏微分方程边值问题的数值模拟。 - by introducing weighted space and using the method of priori estimatehe, uniformly compactness are achieved for s ( t ) in weighted space to overcome the noncom-pactness of the classical sobolev embedding in unbounded domain
在加权空间进行先验估计，获得解算子s(t)在加权空间紧的有界吸收集，从而在加权空间得到整体吸引子的存在性。 - in the second chapter, the kdv type equation on unbounded domain is considered . applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained
在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的kdv型方程，得到了该方程指数吸引子的存在性 - many problems in science and engineering are set in unbounded domains . the simplest method for solving them numerically is to set certain artificial boundaries, impose some artificial boundary conditions and then resolve the corresponding approximate problems . whereas these treatments may cause additional errors
求解这类问题的最简单的方法是设定一个人工边界，然后在有限子区域中用通常的方法计算，例如差分法、有限元方法或者有界区域上的谱方法等。 - we get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors . in section 5.3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved . in section 5.4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences
第五章，考虑了一类广义耦合的非线性波动方程组，在第二节中讨论了周期初值问题，证明了整体光滑解的存在性和唯一性，得到了整体吸引子，给出了hausdorff维数和分形维数的上界估计；在第三节中讨论了cauchy问题，利用加权函数和加权空间的插值不等式，证明了无界区域上整体吸引子的存在性；在第四节中证明了时间周期解的存在性。 - chapter 6, consider a coupled generalized kdv-burgers equation . in section 6.2, we study the initial-boundary value problem in the semi-unbounded domain, the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time . in section 6.3, the cauchy problem by using the weighted space, the existence of the global attractors for a coupled generalized kdv-burgers in an semi-unbounded domain is proved
第六章，考虑了一类广义耦合的kdv-burgers方程，在第二节中讨论了半无界区域上的初边值问题，证明了整体光滑解和整体吸引子的存在性；在第三节中讨论了cauchy问题，利用加权函数和加权空间上的插值8不等式，证明了半无界区域上整体吸引子的存在性。 - chapter 6, consider a coupled generalized kdv-burgers equation . in section 6.2, we study the initial-boundary value problem in the semi-unbounded domain, the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time . in section 6.3, the cauchy problem by using the weighted space, the existence of the global attractors for a coupled generalized kdv-burgers in an semi-unbounded domain is proved
第六章，考虑了一类广义耦合的kdv-burgers方程，在第二节中讨论了半无界区域上的初边值问题，证明了整体光滑解和整体吸引子的存在性；在第三节中讨论了cauchy问题，利用加权函数和加权空间上的插值8不等式，证明了半无界区域上整体吸引子的存在性。 - using the operator decomposition method and the compactness of the weighted norm as well as kuratowskii a-the non-compact measure, the existence of the global attractor for the corresponding semi-group on unbounded domains rn ( n > 1 ) was obtained in charter 2 . it was shown that there exists an exponential attractor on unbounded domains r " ( n < 3 ) in charter 3
通过利用算子分解技巧和加权范数的紧性及kuratowskii?非紧测度，在第二章中证明了该方程无界区域r~n(n1)整体吸引子的存在性；第三章证明了无界区域r~n(n3)上指数吸引子的存在性。 - using the operator decomposition method and the compactness of the weighted norm as well as kuratowskii a-the non-compact measure, the existence of the global attractor for the corresponding semi-group on unbounded domains rn ( n > 1 ) was obtained in charter 2 . it was shown that there exists an exponential attractor on unbounded domains r " ( n < 3 ) in charter 3
通过利用算子分解技巧和加权范数的紧性及kuratowskii?非紧测度，在第二章中证明了该方程无界区域r~n(n1)整体吸引子的存在性；第三章证明了无界区域r~n(n3)上指数吸引子的存在性。