ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXV, 1 (2006)
p. 95 - 106
On the stationary motion of a Stokes fluid in a thick elastic tube:
a 3D/3D interaction problem
C. Surulescu

Abstract.  We study the problem of a steady-state fluid-flexible structure interaction in 3D: a Stokes flow moving in an elastic tube. We consider periodic conditions (in the direction parallel to the tube's axis) and assume the exterior lateral surface of the flexible wall clamped. We prove the existence of a solution of the coupled problem.

Keywords: Fluid-structure interaction, Stokes equations, existence and regularity of solutions.  

AMS Subject classification:  74F10, 35Q30, 76D03.
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