The steady state Stefan problem with convection

  • J. R. Cannon
  • Emmanuele DiBenedetto
  • George H. Knightly
Article

Abstract

For steady-state Stefan problems with convection in the fluid phase governed by either the Stokes equations or the Navier Stokes equations, and with adherence of the fluid on all boundaries, the existence of a weak solution is obtained via the introduction of a temperature dependent penalty term in the fluid flow equation together with application of various compactness arguments.

Keywords

Neural Network Steady State Convection Complex System Fluid Flow 
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References

  1. 1.
    Gilbarg, D., & N. S. Trudinger, Elliptic Partial Differential Equations of Second Order. New York: Springer 1977.Google Scholar
  2. 2.
    Ladyzhenskaya, O. A., The Mathematical Theory of Viscous Incompressible Flow. 2nd Edition. New York: Gordon and Breach 1969.Google Scholar
  3. 3.
    Ladyzhenskaya, O. A., & N. N. Ural'tseva, Linear and Quasilinear Elliptic Equations. New York: Academic Press 1968.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • J. R. Cannon
    • 1
    • 2
  • Emmanuele DiBenedetto
    • 1
    • 2
  • George H. Knightly
    • 1
    • 2
  1. 1.Department of MathematicsUniversity of TexasAustin
  2. 2.Department of MathematicsUniversity of MassachusettsAmherst

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