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

URN to cite this document:: urn:nbn:de:bvb:355-epub-525777
DOI to cite this document:: 10.5283/epub.52577

Garcke, Harald

; Knopf, Patrik

; Mitra, Sourav

; Schlömerkemper, Anja

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Date of publication of this fulltext: 12 Jul 2022 04:46

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Abstract

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 ...