CONSERVATION LAWS, DIFFERENTIAL IDENTITIES, AND CONSTRAINTS OF PARTIAL DIFFERENTIAL EQUATIONS

被引：13
|
作者：
Zharinov, V. V. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2015年 / 185卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
differential algebra; conservation law; differential identity; differential constraint; EVOLUTION SYSTEMS;
D O I：
10.1007/s11232-015-0365-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider specific cohomological properties such as low-dimensional conservation laws and differential identities of systems of partial differential equations (PDEs). We show that such properties are inherent to complex systems such as evolution systems with constraints. The mathematical tools used here are the algebraic analysis of PDEs and cohomologies over differential algebras and modules.
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页码：1557 / 1581
页数：25
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