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arXiv 1111.1456math-phmath.APmath.MP
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具有强制对称性的广义发展方程

Generalized evolutionary equations with imposed symmetries

Rodica Cimpoiasu, Radu Constantinescu

摘要:

本文提出一种算法,可以识别出一般的一类描述具有相似对称性的动力系统的偏微分方程。我们将从一组给定的对称性出发,确定不变量,然后确定相容的演化方程。该算法将举例说明两类方程描述的福克-普朗克模型和“向后”Kolgomorov一个。

英文摘要:

The paper proposes an algorithm which could identify a general class of pdes describing dynamical systems with similar symmetries. The way that will be followed starts from a given group of symmetries, the determination of the invariants and, then, of the compatible equations of evolution. The algorithm will be exemplified by two classes of equations which describe the Fokker-Planck model and the "backward" Kolgomorov one.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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