Local existence of strong solutions of a fluid-structure interaction model

Sourav Mitra (1, 2)

1 UT3 - Université Toulouse III - Paul Sabatier
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We are interested in studying a system coupling the com-pressible Navier-Stokes equations with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain is rectangular and the beam is located on the upper side of the rectangle. The elastic structure is modeled by an Euler-Bernoulli damped beam equation. We prove the local in time existence of strong solutions for that coupled system. Mathematics Subject Classification (2010). 35R37, 35D35, 35B65, 74D99, 74F10, 76N10, 93C20.

Mots clés: Fluid-structure interaction model; Compressible fluid; Euler-Bernoulli damped beam; local existence

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Sourav Mitra. Local existence of strong solutions of a fluid-structure interaction model. 2018. ⟨hal-01959680⟩