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The polymer constitutes a solvent-solute mixture where the solvent is modelled on the macroscopic scale by the incompressible Navier\u2013Stokes equation and the solute is modelled on the mesoscopic scale by a Fokker\u2013Planck equation (Kolmogorov forward equation) for the probability density function of the bead-spring polymer chain configuration. This mixture interacts with a nonlinear elastic shell which serves as a moving boundary of the physical spatial domain of the polymer fluid. We use the classical model by Koiter to describe the shell movement which yields a fully nonlinear fourth order hyperbolic equation. Our main result is the existence of a weak solution to the underlying system which exists until the Koiter energy degenerates or the flexible shell approaches a self-intersection.\n<\/jats:p>","DOI":"10.1007\/s00332-021-09678-5","type":"journal-article","created":{"date-parts":[[2021,2,13]],"date-time":"2021-02-13T19:10:20Z","timestamp":1613243420000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["An Incompressible Polymer Fluid Interacting with a Koiter Shell"],"prefix":"10.1007","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2787-3250","authenticated-orcid":false,"given":"Dominic","family":"Breit","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Prince Romeo","family":"Mensah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,2,12]]},"reference":[{"issue":"2","key":"9678_CR1","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1137\/060666810","volume":"6","author":"JW Barrett","year":"2007","unstructured":"Barrett, J.W., S\u00fcli, E.: Existence of global weak solutions to some regularized kinetic models for dilute polymers. 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