查询词典 Landau

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

In the first part we consider the convergence and stability of finite difference scheme for Landau-Lifshitz equation in one dimensions space and 2d radial symmetric Landau-Lifshitz equation.

在第一部分，我们研究一维Landau-Lifshitz方程非齐次边值问题和二维柱对称Landau-Lifshitz方程Neumann边值问题的有限差分格式。

The existence of global weak solution for a class of generalized Ginzburg-Landau equations with an inhomogeneous boundary condition was studied. Some integral indentities of smooth solution of inhomogeneous initial boundary value problem of Ginzburg-Landau equations were deduced, by which a priori estimates of the square norm on boundary of normal derivative and the square norm of partial derivatives were obtained.

研究具非线性边界条件的一类广义Ginzburg＿Landau方程解的整体存在性·推导了Ginzburg＿Landau方程的非齐次初边值问题光滑解的几个积分恒等式，由此得到了解的法向导数在边界上的平方模以及解的平方模和导数的平方模估计；通过逼近技巧、先验估计和取极限方法证明了Ginzburg＿Landau方程的非齐次初边值问题整体弱解的存在性

As to the higher Landau levels, we conducted systematically calculations for the various possible ground states, such as the Laughlin liquid, the composite fermion liquid, the Wigner crystal, and the charge density wave . We find that when the Landau level index N≥2, the fractional quantum Hall states are ruled out and the CDW and Wigner crystal dominate. An exception occurs at around v=4+1/6, where the composite fermion liquid may be more energetically preferable than the CDW and the Wigner crystal states. This result provides a new explanation to the so-called re-entrant integral quantum Hall effect. In fact, the feature of isotropically metallic property at this filling is discerned from the experiment.

对于高朗道能级，我们对各种可能的基态，比如量子霍耳态，复合费米子流体，Wigner晶体，电荷密度波等，做了系统的计算，我们发现，当朗道能级N≥2时，分数量子霍耳态不再出现，Wigner晶体和电荷密度波将占主导地位，一个例外就是在ν=4+1/6附近，复合费米子流体可能出现在从Wigner晶体到电荷密度波晶体之间，该结果为上述的重进入整数量子霍耳效应现象提出了一种新的解释。

Allison Abbate, Colleen Atwood, John August, Rick Baker, Helena Bonham Carter, Felicity Dahl, Johnny Depp, Danny Devito, Danny Elfman, Carlos Grangel, Ray Harryhausen, Martin Landau, Rick Heinrichs, Christopher Lee, Lindsay Macgowan, Shane Mahan, Ian Mackinnon, Alex Mcdowell, Victoria Price, Ken Ralston, Paul Reubens, Deep Roy, Winona Ryder, and Richard Zanuck.

阿利森阿巴特，科琳阿特伍德，约翰奥古斯特，瑞科贝克，海伦娜邦汉卡特，富临达尔，约翰尼德普，丹尼德维托，丹尼叶夫曼，卡洛斯Grangel，雷·哈里豪森，马丁兰道，里克海因里希斯，克里斯托弗李，林赛麦高恩，巴蒂尔马汉，伊恩麦金农，亚历克斯道尔，维多利亚价格，拉尔斯顿，保罗鲁宾斯，深罗伊，薇诺娜瑞德，和理查德扎纳克。

It was proved that the existence of an absorbing set and a global finite dimensional attractor which is compact, connected in the function space for the high-frequency modes coupled two Ginzburg-Landau equations.

利用了无穷维动力系统理论，证明了两个高频模态耦合的Ginzburg-Landau方程在函数空间中存在吸引域，因而存在连通的、有限维的紧的整体吸引子。

Varma and Bojanov studied Landau's type inequality of algebraic polynomials based on Hermite function.

Varma和Bojanov研究了基于Hermite函数的代数多项式的Landau's型不等式。

Landau's type inequality has some contribution to approximation theory of function and theory of inequality.

Landau's型不等式在函数逼近论和不等式理论具有一定意义。

Twelve struck. The public would have to wait more than three hours for the Grand Prix to be run. When the landau had drawn up beside the barriers Nana settled herself comfortably down as though she were in her own house. A whim had prompted her to bring Bijou and Louiset with her, and the dog crouched among her skirts, shivering with cold despite the heat of the day, while amid a bedizenment of ribbons and laces the child's poor little face looked waxen and dumb and white in the open air.

她穿的服装是旺德夫尔赛马服的两种颜色，即蓝色和白色，显得非常别致，蓝绸短上衣和蓝绸紧身褡紧紧绷在身上，腰后高高凸起一个裙撑，这样，大腿的轮廓被明显衬托出来，当时流行穿宽大裙子，这样的穿戴打扮是不落俗套的；外面套一件白缎子长裙，袖子也是白缎子的，肩上披着一条白缎子三角围巾，全身穿戴都镶着银色镂空花边，被阳光照得闪闪烁烁。

The nonlinear stability of three-dimensional disturbances for the Blasius boundary layers is studied. We adopted here the high accuracy method of using the expansions in orthogonal functions along the normal direction and the effective algebraic mapping to deal with the problem in the infinite region. The initial solutions of two-dimensional harmonic waves are given by Landau expansion, and the mean-flow-distortion is calculated by the approximation equation.

运用Landau展开给出了二维谐波的初始解、通过求解线性PSE而得到TS波和C型亚谐扰动的初始站值、以及近似地模拟初始站的均流变形值，以此为初始条件，并结合迭代-预估校正方法来实现非线性PSE的求解和推进，详细地研究了非平行边界层三维扰动C型失稳过程。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。