Advertisement

On a three-norm inequality for the stokes operator in nonsmooth domains

  • Wenzheng Xie
General Qualitative Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1530)

Keywords

Stokes Operator Bound Smooth Domain Nonsmooth Domain Viscous Incompressible Flow Trilinear Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. G. Heywood, The Navier-Stokes equations: on the existence, regularity and decay of solutions, Indiana Univ. Math. J. 29 (1980), 639–681.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    J. G. Heywood and R. Rannacher, Finite element approximation of the nonstationary Navier-Stokes problem. I. Regularity of solutions and second-order error estimates for spatial discretization, SIAM J. Numer. Anal. 19 (1982), 275–311.ADSMathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    O. A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, Second Edition, Gordon and Breach, New York, 1969.zbMATHGoogle Scholar
  4. 4.
    R. Temam, Navier-Stokes Equations and Nonlinear Functional Analysis, SIAM, Philadelphia, 1983.zbMATHGoogle Scholar
  5. 5.
    W. Xie, Thesis, University of British Columbia, 1991.Google Scholar
  6. 6.
    W. Xie, A sharp pointwise bound for functions with L 2-Laplacians and zero boundary values on arbitrary three-dimensional domains, Indiana Univ. Math. J. 40, (1991), 1185–1192.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Wenzheng Xie
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA

Personalised recommendations