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Alene · Zwijndrecht · Zuchwil · Zonhoven · Zoetermeer · Zittau · Zell am See · Zelandia · Zaventem · Zaragoza
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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。
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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。
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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
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landau diamagnetism:朗道抗磁性
landau damping 朗道阻尼 | landau diamagnetism 朗道抗磁性 | landau gauge 朗道规范
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landau diamagnetism:蘭道反磁性= 朗道抗磁性
Landau damping 蘭道阻尼= 朗道阻尼 | Landau diamagnetism 蘭道反磁性= 朗道抗磁性 | Landau level 蘭道能階= 朗道能級
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landau diamagnetism:兰道反磁性
兰道阻尼 Landau damping | 兰道反磁性 Landau diamagnetism | 兰道涨落;兰道起伏 Landau fluctuation
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Landau:兰道
莫戈罗夫(Kolmogorov),兰道(Landau)等. 经过多代人的研究,拟蒙特卡罗法(DSMC)已经可以处理有内能激发和化学反应的非平衡推动了流体力学实验技术的发展. 粒子图像测速技术(PIV)的空间分研究方向. 粒子迹线测速(PTV)技术在二维测量中已成熟,
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Landau:朗道
不过他还是靠自己的力量改进了图埃的结果,舒尔对此十分高兴.不久他就被征召入伍,到斯特拉斯堡服役,五周后退役.他先当家庭教师,一直到1919年夏季学期才继续上学.这次他到格丁根大学从E.朗道(Landau)学习,并在朗道指导下于1920年6月取得博士学位,
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