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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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A model for peak formation in the two-phase equations
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by Björn Sjögreen, Katarina Gustavsson and Reynir Levi Gudmundsson PDF
Math. Comp. 76 (2007), 1925-1940 Request permission

Abstract:

We present a hyperbolic-elliptic model problem related to the equations of two-phase fluid flow. The model problem is solved numerically, and properties of its solution are presented. The model equation is well-posed when linearized around a constant state, but there is a strong focusing effect, and very large solutions exist at certain times. We prove that the model problem has a smooth solution for bounded times.
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Additional Information
  • Björn Sjögreen
  • Affiliation: Royal Institute of Technology, 100 44 Stockholm, Sweden
  • Address at time of publication: Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P.O. Box 808, L-550, Livermore, California 94551
  • Email: sjogreen2@llnl.gov
  • Katarina Gustavsson
  • Affiliation: Royal Institute of Technology, 100 44 Stockholm, Sweden
  • Email: katarina@nada.kth.se
  • Reynir Levi Gudmundsson
  • Affiliation: Royal Institute of Technology, 100 44 Stockholm, Sweden
  • Email: rlg@nada.kth.se
  • Received by editor(s): June 20, 2005
  • Received by editor(s) in revised form: June 4, 2006
  • Published electronically: May 30, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 76 (2007), 1925-1940
  • MSC (2000): Primary 76T25, 65M99, 35L60
  • DOI: https://doi.org/10.1090/S0025-5718-07-01992-8
  • MathSciNet review: 2336274