A new insight into Serre's reduction problem
A new insight into Serre's reduction problem
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DOI：
10.1016/j.laa.2015.04.035
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发表时间：
2015-10
影响因子：
1.1
通讯作者：
T. Cluzeau;A. Quadrat
中科院分区：
文献类型：
--
作者：
T. Cluzeau;A. Quadrat
The purpose of this paper is to study the connections existing betweenSerre's reductionof linear functional systems − which aims at finding an equivalent system defined by fewer equations and fewer unknowns − and thedecomposition problem− which aims at finding an equivalent system having a diagonal block structure − in which one of the diagonal blocks is assumed to be the identity matrix. In order to do that, we further develop results on Serre's reduction problem and on the decomposition problem obtained in [2], [3]. Finally, these techniques are used to analyze the decomposability of linear systems of partial differential equations studied in hydrodynamics such as the Oseen equations.
