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Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids

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Garcke, Harald ; Knopf, Patrik ; Mitra, Sourav ; Schlömerkemper, Anja
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 12 Jul 2022 04:46

This publication is part of the DEAL contract with Springer.


In this article, we study the strong well-posedness, stability and optimal control of an incompressible magneto-viscoelastic fluid model in two dimensions. The model consists of an incompressible Navier-Stokes equation for the velocity field, an evolution equation for the deformation tensor, and a gradient flow equation for the magnetization vector. First, we prove that the model under ...


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