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- W4366999968 abstract "In this paper, we study an interaction problem between a $3D$ compressible viscous fluid and a $3D$ nonlinear viscoelastic solid fully immersed in the fluid, coupled together on the interface surface. The solid is allowed to have self-contact or contact with the rigid boundary of the fluid container. For this problem, a global weak solution with defect measure is constructed by using a multi-layered approximation scheme which decouples the body and the fluid by penalizing the fluid velocity and allowing the fluid to pass through the body, while the body is supplemented with a contact-penalization term. The resulting defect measure is a consequence of pressure concentrations that can appear where the fluid meets the (generally irregular) points of self-contact of the solid. Moreover, we study some geometrical properties of the fluid-structure interface and the contact surface. In particular, we prove a lower bound on area of the interface." @default.
- W4366999968 created "2023-04-27" @default.
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- W4366999968 date "2023-04-23" @default.
- W4366999968 modified "2023-09-27" @default.
- W4366999968 title "Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts" @default.
- W4366999968 doi "https://doi.org/10.48550/arxiv.2304.11809" @default.
- W4366999968 hasPublicationYear "2023" @default.
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