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Attractors for a non-linear parabolic equation modelling suspension flows

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  • In this paper we prove the existence of a global attractor with respect to the weak topology of a suitable Banach space for a parabolic scalar differential equation describing a non-Newtonian flow. More precisely, we study a model proposed by Hébraud and Lequeux for concentrated suspensions.
    Mathematics Subject Classification: Primary: 35B40, 35B41, 35K55; Secondary: 37B25, 58C06.

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