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A model for peak formation in the two-phase equations
Author(s):
Björn
Sjögreen;
Katarina
Gustavsson;
Reynir
Levi
Gudmundsson.
Journal:
Math. Comp.
76
(2007),
1925-1940.
MSC (2000):
Primary 76T25, 65M99, 35L60
Posted:
May 30, 2007
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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
DOI:
10.1090/S0025-5718-07-01992-8
PII:
S 0025-5718(07)01992-8
Received by editor(s):
June 20, 2005
Received by editor(s) in revised form:
June 4, 2006
Posted:
May 30, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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