Skip to main content
SpringerLink
Log in

Global Existence of Solutions for Shear Flow of Certain Viscoelastic Fluids

  • Published:
Journal of Mathematical Fluid Mechanics Aims and scope Submit manuscript

Abstract.

We prove the global existence in time of solutions to time-dependent shear flows for certain viscoelastic fluids. The essential point in the proof is an a priori estimate for the shear stress. Positive definiteness constraints for the stress play a crucial role in obtaining such estimates.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

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

    Michael Renardy

Authors
  1. Michael Renardy
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Michael Renardy.

Additional information

Communicated by G. P. Galdi

This research was supported by the National Science Foundation under Grant DMS-0405810.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Renardy, M. Global Existence of Solutions for Shear Flow of Certain Viscoelastic Fluids. J. math. fluid mech. 11, 91–99 (2009). https://doi.org/10.1007/s00021-007-0249-7

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00021-007-0249-7

Mathematics Subject Classification (2000).

Keywords.

Search

Navigation