Journal of Mathematical Fluid Mechanics

, Volume 14, Issue 1, pp 1–32 | Cite as

Continuous Dependence on Initial Data in Fluid–Structure Motions

  • Giovanna Guidoboni
  • Marcello Guidorzi
  • Mariarosaria Padula
Article

Abstract

We prove a continuous dependence theorem for weak solutions of equations governing a fluid–structure interaction problem in two spatial dimensions. The proof is based on a priori estimates which, in particular, convey uniqueness of weak solutions. The estimates are obtained using Eulerian coordinates, without remapping the problem into a fixed domain.

Mathematics Subject Classification (2010)

74F10 76D03 76D05 

Keywords

Uniqueness incompressible fluids fluid–structure interaction a priori estimates 

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • Giovanna Guidoboni
    • 1
  • Marcello Guidorzi
    • 2
  • Mariarosaria Padula
    • 2
  1. 1.Department of Mathematical SciencesIndiana University and Purdue University at IndianapolisIndianapolisUSA
  2. 2.Dipartimento di MatematicaUniversità di FerraraFerraraItaly

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