| The existence of global solution and their weak limit of generalized Ginzburg-Landau equations in two dimensions |
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| 作者姓名： | YANG Ling’e GUO Boling |
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| 作者单位： | 1. Department of Mathematics, Foshan University, Foshan 528000, China; 2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| 摘 要： | By the uniform a priori estimate of solution about parameters, we prove the existence of global solution and inviscid limit to a generalized Ginzburg-Landau equations in two dimensions. We also prove that the solution to the Ginzburg-Landau equations converges to the weak solution to the derivative nonlinear Schrödinger equations.
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| 关 键 词： | Ginzburg-Landau equation global solution inviscid limits |
The existence of global solution and their weak limit of generalized Ginzburg-Landau equations in two dimensions |
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| YANG Ling'e,GUO Boling.The existence of global solution and their weak limit of generalized Ginzburg-Landau equations in two dimensions[J].Progress in Natural Science,2006,16(5):458-463. |
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| Authors: | YANG Ling'e GUO Boling |
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| Institution: | 1. Department of Mathematics, Foshan University, Foshan 528000, China
2. Institute of Applied Physics and Computational Mathe matics, Beijing 100088, China |
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| Abstract: | By the uniform a priori estimate of solution about parameters, we prove the existence of global solution and inviscid limit to a generalized Ginzburg-Landau equations in two dimensions. We also prove that the solution to the Ginzburg-Landau equations converges to the weak solution to the derivative nonlinear Schrödinger equations. |
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| Keywords: | Ginzburg-Landau equation global solution inviscid limits |
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