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Stability and numerical analysis of the Hébraud-Lequeux model for suspensions - MaRDI portal

Stability and numerical analysis of the Hébraud-Lequeux model for suspensions (Q541323)

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scientific article; zbMATH DE number 5904625
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Stability and numerical analysis of the Hébraud-Lequeux model for suspensions
scientific article; zbMATH DE number 5904625

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    Stability and numerical analysis of the Hébraud-Lequeux model for suspensions (English)
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    7 June 2011
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    Summary: We study both analytically and numerically the stability of the solutions of the Hébraud-Lequeux equation. This parabolic equation models the evolution for the probability of finding a stress \(\sigma\) in a mesoscopic block of a concentrated suspension, a non-Newtonian fluid. We prove a new result concerning the stability of the fixed points of the equation, and pose some conjectures about stability, based on numerical evidence.
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