Steady plane flow of viscoelastic fluid past an obstacle

Antonín Novotný; Milan Pokorný

Applications of Mathematics (2002)

  • Volume: 47, Issue: 3, page 231-254
  • ISSN: 0862-7940

Abstract

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We consider the steady plane flow of certain classes of viscoelastic fluids in exterior domains with a non-zero velocity prescribed at infinity. We study existence as well as asymptotic behaviour of solutions near infinity and show that for sufficiently small data the solution decays near infinity as fast as the fundamental solution to the Oseen problem.

How to cite

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Novotný, Antonín, and Pokorný, Milan. "Steady plane flow of viscoelastic fluid past an obstacle." Applications of Mathematics 47.3 (2002): 231-254. <http://eudml.org/doc/33115>.

@article{Novotný2002,
abstract = {We consider the steady plane flow of certain classes of viscoelastic fluids in exterior domains with a non-zero velocity prescribed at infinity. We study existence as well as asymptotic behaviour of solutions near infinity and show that for sufficiently small data the solution decays near infinity as fast as the fundamental solution to the Oseen problem.},
author = {Novotný, Antonín, Pokorný, Milan},
journal = {Applications of Mathematics},
keywords = {viscoelastic fluid; Oseen problem; steady transport equation; weighted estimates; viscoelastic fluid; Oseen problem; steady transport equation; weighted estimates},
language = {eng},
number = {3},
pages = {231-254},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Steady plane flow of viscoelastic fluid past an obstacle},
url = {http://eudml.org/doc/33115},
volume = {47},
year = {2002},
}

TY - JOUR
AU - Novotný, Antonín
AU - Pokorný, Milan
TI - Steady plane flow of viscoelastic fluid past an obstacle
JO - Applications of Mathematics
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 3
SP - 231
EP - 254
AB - We consider the steady plane flow of certain classes of viscoelastic fluids in exterior domains with a non-zero velocity prescribed at infinity. We study existence as well as asymptotic behaviour of solutions near infinity and show that for sufficiently small data the solution decays near infinity as fast as the fundamental solution to the Oseen problem.
LA - eng
KW - viscoelastic fluid; Oseen problem; steady transport equation; weighted estimates; viscoelastic fluid; Oseen problem; steady transport equation; weighted estimates
UR - http://eudml.org/doc/33115
ER -

References

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  3. 10.4171/ZAA/976, Z.  Anal. Anwendungen 19 (2000), 713–728. (2000) MR1784127DOI10.4171/ZAA/976
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  9. 10.1007/PL00000956, J.  Math. Fluid Mech. 2 (2000), 294–314. (2000) MR1781917DOI10.1007/PL00000956
  10. Asymptotic behaviour of solutions to certain PDE’s describing the flow of fluids in unbounded domains, Ph.D. thesis, Charles University, Prague & University of Toulon and Var, Toulon-La Garde, 1999. (1999) 
  11. 10.1002/zamm.19850650919, Z. Angew. Math. Mech. 65 (1985), 449–451. (1985) MR0814684DOI10.1002/zamm.19850650919
  12. 10.1007/BF00282357, Arch. Rational Mech. Anal. 20 (1965), 341–372. (1965) Zbl0149.44701MR0185926DOI10.1007/BF00282357
  13. 10.1007/BFb0103912, Springer-Verlag, Berlin-Heidelberg, 2000. (2000) MR1774162DOI10.1007/BFb0103912

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