Mathematical analysis of a fluid—solid interaction problem

Abstract

This paper analyzes a fluid—solid interaction model which describes the interaction between an inviscid fluid and an elastic solid In the model, the linear elastodynamic equations complemented with appropriate interface and boundary conditions are used to describe the wave propagation in the fluid and solid regions, and absorbing boundary conditions are used to minimize unphysical wave reflections. It is shown that the initial boundary value problem of the mathematical model posses a unique global (in time) quasi-strong solution. Regularity of the quasi-strong solution is also obtained under some reasonable assumptions on the data and on the domain.

Keywords:

• Acoustic and elastic waves
• Absorbing boundary condition
• Quasi-strong solution
• Energy method
• Uniqueness
• Regularity

AMS:

• 35L20
• 35D05
• 73D99
• 65M99

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Notes

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