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Communication dans un congrès

Module structure of classical multidimensional systems appearing in mathematical physics

Thomas Cluzeau 1 Alban Quadrat 2
1 DMI
XLIM - XLIM
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
Abstract : 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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Communication dans un congrès
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https://hal-unilim.archives-ouvertes.fr/hal-00633261
Contributeur : Véronique Maury <>
Soumis le : mardi 18 octobre 2011 - 10:18:34
Dernière modification le : jeudi 9 juillet 2020 - 16:08:01

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  • HAL Id : hal-00633261, version 1

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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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