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  4. Asymptotically Justified Boundary Conditions for a Viscoelastic Two-Phase Fiber Model
 
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2021
Journal Article
Title

Asymptotically Justified Boundary Conditions for a Viscoelastic Two-Phase Fiber Model

Abstract
In this work we present asymptotically justified boundary/interface conditions for a viscoelastic two-phase fiber model with flow-enhanced crystallization. While the model equations are well-established in the literature, the choice of boundary conditions is still under discussion as they might cause artificial layering at the crystallization onset. We show that our conditions avoid such layering, yielding a regularly perturbed boundary value problem with either continuous or discontiunous interface.
Author(s)
Ettmüller, Manuel
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Arne, Walter  
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Marheineke, Nicole
Wegener, Raimund  
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Journal
Proceedings in applied mathematics and mechanics. PAMM  
Conference
International Association of Applied Mathematics and Mechanics (GAMM Annual Meeting) 2021  
Open Access
DOI
10.1002/pamm.202100087
Language
English
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
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