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Approximate Controllability Results for Linear Viscoelastic Flows

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Abstract

We consider linear viscoelastic flow of a multimode Maxwell or Jeffreys fluid in a bounded domain with smooth boundary, with a distributed control in the momentum equation. We establish results on approximate and exact controllability.

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Authors and Affiliations

  1. Indian Institute of Science Education and Research, Kolkata, West Bengal, India

    Shirshendu Chowdhury

  2. Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061-0123, USA

    Debanjana Mitra & Michael Renardy

  3. T.I.F.R Centre for Applicable Mathematics, Post Bag No. 6503, GKVK Post Office, Bangalore, 560065, India

    Mythily Ramaswamy

Authors
  1. Shirshendu Chowdhury
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  2. Debanjana Mitra
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  3. Mythily Ramaswamy
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  4. Michael Renardy
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Corresponding author

Correspondence to Michael Renardy.

Additional information

Communicated by G.P. Galdi

Michael Renardy’s research was supported by the National Science Foundation under Grant DMS-1514576. The research of all the authors was supported by the Airbus Group Corporate Foundation Chair in Mathematics of Complex Systems established in TIFR, Bangalore.

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Chowdhury, S., Mitra, D., Ramaswamy, M. et al. Approximate Controllability Results for Linear Viscoelastic Flows. J. Math. Fluid Mech. 19, 529–549 (2017). https://doi.org/10.1007/s00021-016-0292-3

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  • DOI: https://doi.org/10.1007/s00021-016-0292-3

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