ON A FLUID-STRUCTURE INTERACTION PROBLEM IN VELOCITY-DISPLACEMENT FORMULATION

1 June 1998

journal article
research article
Published by World Scientific Pub Co Pte Ltd in Mathematical Models and Methods in Applied Sciences

Vol. 08 (04) , 543-572
https://doi.org/10.1142/s0218202598000251

Abstract

We present in this paper an existence result of weak solutions as well as some regularity results for a fluid-structure interaction problem when a fluid velocity-structure displacement formulation is used. This formulation induces a difficulty connected with the coupling condition. Indeed, unlike the pressure-displacement formulation, we do not have a Neumann condition and consequently it is more difficult to obtain weak solutions.

Keywords

DIFFICULTY
FLUID STRUCTURE INTERACTION
NEUMANN
INTERACTION PROBLEM
DISPLACEMENT FORMULATION

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