|
|||||
|
|
| 一维含杂质Ginzburg-Landau超导模型非平凡解的存在性与杂质厚度之间的关系 | |
| 引用本文： | 沈小华. 一维含杂质Ginzburg-Landau超导模型非平凡解的存在性与杂质厚度之间的关系[J]. 苏州大学学报(医学版), 2007, 23(1): 10-14 |
| 作者姓名： | 沈小华 |
| 作者单位： | 苏州大学数学科学学院 江苏苏州215006 |
| 摘 要： | 确定了当导体材料长度不大于超导体材料长度时,一维含杂质Ginzburg-Landau超导模型在充分小的外加磁场下,总存在非平凡解.当导体长度大于超导体长度时,证明了存在一个临界值,当Ginzburg-Landau参数大于该临界值时,在充分小的外加磁场下,该模型总存在非平凡解;而当Ginzburg-Landau参数不大于该临界值时,在任意的外加磁场下,该模型只有平凡解. |
| 关 键 词： | Ginzburg-Landau超导模型 非平凡解 变分问题 |
| 文章编号： | 1000-2073（2007）01-0010-05 |
| 收稿时间： | 2006-01-05 |
| 修稿时间： | 2006-01-05 |
The relationship between the existence of the non-trivial solutions and the length of normal materials for the one-dimensional Ginzburg-Landau models of superconductivity with S-N-S junctions |
|
| Shen Xiaohua. The relationship between the existence of the non-trivial solutions and the length of normal materials for the one-dimensional Ginzburg-Landau models of superconductivity with S-N-S junctions[J]. Journal of Suzhou University(Natural Science), 2007, 23(1): 10-14 | |
| Authors: | Shen Xiaohua |
| Abstract: | In this paper,we conclude that when the length of normal conductor is less than or equal to the length of superconductor,the one-dimensional Ginzburg-Landau models of superconductivity with S-N-S junctions always has non-trivial solutions for sufficiently small applied magnetic field.Otherwise,there exists a critical value and if the Ginzburg-Landau parameter is greater than the critical value,the model always has non-trivial solutions for sufficietly small applied magnetic field;if the Ginzburg-Landau parameter is less than or equal to the critical value,the model has only trivial solutions for any applied magnetic field. |
| Keywords: | Ginzburg-Landau model of superconductivity non-trivial solution variational problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |