Exact Controllability of a Faedo–Galërkin Scheme for the Dynamics of Polymer Fluids

Luca Bisconti () and Paolo Maria Mariano ()
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Luca Bisconti: DIMAI, Università di Firenze
Paolo Maria Mariano: DICEA, Università di Firenze

Journal of Optimization Theory and Applications, 2022, vol. 193, issue 1, No 31, 737-759

Abstract: Abstract We describe the dynamics of fluids with scattered polymer chains through a multi-field model accounting for weakly non-local inertia and second-neighborhood interactions due to chain entanglements; viscous effects appear at both macroscopic and polymer representations. We consider a linearized version of the pertinent balance equations. For it, we prove exact controllability of the pertinent Faedo–Galërkin scheme on the basis of Hilbert’s uniqueness method in combination with an appropriate fixed point argument.

Keywords: Complex fluids; Microstructures; Faedo–Galërkin’s scheme; Exact control; 76A05; 35Q93; 49J20 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-021-01950-8

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