| Abstract: |
| In this talk we discuss a coupled viscoelastic Navier-Stokes-Biot system describing the interaction between an incompressible, viscous fluid and a poro-viscoelastic medium. The coupling is realized through Beavers-Joseph-Saffman type interface conditions. We establish the global wellposedness of this system in the strong sense for small initial data and derive in addition a Serrin-type blow-up criterion. |
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