On hydrodynamics of viscoelastic fluids

  1. Fang-Hua Lin1,
  2. Chun Liu2,
  3. Ping Zhang3

Article first published online: 2 FEB 2005

DOI: 10.1002/cpa.20074

Issue

Communications on Pure and Applied Mathematics

Communications on Pure and Applied Mathematics

Volume 58, Issue 11, pages 1437–1471, November 2005

Additional Information

How to Cite

Lin, F.-H., Liu, C. and Zhang, P. (2005), On hydrodynamics of viscoelastic fluids. Comm. Pure Appl. Math., 58: 1437–1471. doi: 10.1002/cpa.20074

Author Information

  1. 1

    Courant Institute, 251 Mercer St., New York, NY 10012

  2. 2

    Department of Mathematics, Pennsylvania State University, State College, PA 16802

  3. 3

    Academy of Mathematics and System Science, Chinese Academy of Science, 100080 Beijing, People's Republic of China

Publication History

  1. Issue published online: 29 AUG 2005
  2. Article first published online: 2 FEB 2005
  3. Manuscript Revised: AUG 2004
  4. Manuscript Received: NOV 2003

Funded by

  • NSF Grant. Grant Number: DMS-0201443
  • Petroleum Research Fund (PRF) from the American Chemical Society
  • National Science Foundation of China. Grant Numbers: 10131050, 10276036
  • Chinese Academy of Sciences

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Abstract

In this paper, we study a hydrodynamic system describing fluids with viscoelastic properties. After a brief examination of the relations between several models, we shall concentrate on a few analytical issues concerning them. In particular, we establish local existence and global existence (with small initial data) of classical solutions for an Oldroyd system without an artificially postulated damping mechanism. © 2005 Wiley Periodicals, Inc.

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