| 联系向量场特征的变分方程多辛几何方法(英文) |
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| 作者姓名： | 赵平福 秦孟兆 |
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| 作者单位： | 1. 中国科学院大气物理研究所大气边界层物理和大气化学国家重点实验室, 北京 100029;
2. 中国科学院数学与系统科学研究院计算数学所, 北京 100080 |
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| 摘 要： | 联系向量场的特征考虑了变分方程的多辛几何方法,分析了由多辛公式诱导出的守恒律,研究由变分对称得出的守恒律时,给出了这些守恒律的特征.
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| 关 键 词： | 多辛几何 变分偏微分方程 向量场特征 |
| 收稿时间： | 2002-04-10 |
| 修稿时间： | 2002-06-17 |
Multisymplectic Geometrical Approach for the Variational PDEs Connected with the Characteristics of the Vector Fields |
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| Authors: | Zhao Pingfu Qin Mengzhao |
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| Institution: | 1. State Key Laboratory of Atmospheric Boundary Layer Physics and Atmospheric Chemistry, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
2. Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | Connecting the characteristics of the vector fields we consider the multisymplectic geometrical approach for the variational PDEs. We analyze the conservation laws induced by the multisymplectic form formula and give the characteristics of these conservation laws when variational symmetries are taken into account. |
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| Keywords: | multisymplectic geometry variational PDEs characteristics of the vector fields |
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