An \(\inf\)-\(\sup\) approach to \(C_0\)-semigroup generation for an interactive composite structure-Stokes PDE dynamics

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Physiological flows (76Z05) Physiological flow (92C35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

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