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math.AP2024
Time-Periodic Solutions for Hyperbolic-Parabolic Systems
Stanislav Mosny, Boris Muha, Sebastian Schwarzacher +1
Time-periodic weak solutions for a coupled hyperbolic-parabolic system are obtained. A linear heat and wave equation are considered on two respective -dimensional spatial domain…
math.AP2024
Weak and Strong Solutions for A Fluid-Poroelastic-Structure Interaction via A Semigroup Approach
George Avalos, Elena Gurvich, Justin T. Webster
A filtration system, comprising a Biot poroelastic solid coupled to an incompressible Stokes free-flow, is considered in 3D. Across the flat 2D interface, the Beavers-Joseph-Saffma…