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Communication Dans Un Congrès Année : 2010

Module structure of classical multidimensional systems appearing in mathematical physics

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Thomas Cluzeau
DMI

Résumé

In this paper, within the constructive algebraic analysis approach to linear systems, we study classical linear systems of partial differential (PD) equations in two or three independent variables with constant coefficients appearing in mathematical physics and engineering sciences such as the Stokes and Oseen equations studied in hydrodynamics. We first provide a precise algebraic description of the endomorphism ring of the left D-module associated with a linear PD system. Then, we use it to prove that the endomorphism ring of the Stokes and Oseen equations in R2 is a cyclic D-module, which allows us to conclude about the decomposition and factorization properties of these linear PD systems.
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Dates et versions

hal-00633261 , version 1 (18-10-2011)

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  • HAL Id : hal-00633261 , version 1

Citer

Thomas Cluzeau, Alban Quadrat. Module structure of classical multidimensional systems appearing in mathematical physics. Proceedings of Mathematical Theory of Networks and Systems (MTNS) 2010, Jul 2010, Budapest, Hungary. pp.Inconnu. ⟨hal-00633261⟩
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