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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Well-posedness of an inverse problem of Navier–Stokes equations with the final overdetermination

J. Fan
  • Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, P. R. China. Email:
/ G. Nakamura
Published Online: 2009-08-19 | DOI: https://doi.org/10.1515/JIIP.2009.035


This paper proves the existence, uniqueness and stability of solutions of an inverse problem for the 2-D Navier–Stokes equations with the final overdetermination with L 2 initial data and sufficiently large viscosity.

Key words.: Navier–Stokes equations; inverse problem; final overdetermination

Received: 2008-03-01

Revised: 2008-09-16

Published Online: 2009-08-19

Published in Print: 2009-08-01

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 17, Issue 6, Pages 565–584, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/JIIP.2009.035, August 2009

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