Theoretical analysis establishes local existence and uniqueness of strong solutions for 3D fluid-structure interactions, highlighting interface dynamics.
We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution when the initial velocity belongs to the space H2+ε H 2 + ϵ and the initial structure velocity is in H1.5+ε H 1.5 + ϵ , where ε ∈ (0,1/2) ϵ ∈ ( 0 , 1 / 2 ) .
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Kukavica et al. (2024) studied this question.
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