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This article is cited in 2 scientific papers (total in 2 papers)
Mathematical models and computer experiment
Counter streams of solutions of degenerating parabolic equations
V. N. Monakhov M. A. Lavrent'ev Institute of Hydrodynamics
Abstract:
The mathematical model is process for a process of the formation of counter streams of some
physical quantity, for instance, temperature, concentration of a substance, velocity of a fluid.
The nonlinear degenerate parabolic equations describing this process change the direction of
evolution depending on the sign of their solutions. For such equations the problem of the
counter streams is studied. At the initial and final moments the values of the solution, agreed
with the direction of evoluation of the equation, are prescribed.
The method of an elliptic regularization is applied. This technique works good in the
numerical calculations of the similar problems. Obtained estimates are uniform in the
parameter of the regularizations and make possible to realize the passage to the limit on
this parameter.
Received: 22.09.1999
Citation:
V. N. Monakhov, “Counter streams of solutions of degenerating parabolic equations”, Matem. Mod., 12:11 (2000), 77–90
Linking options:
https://www.mathnet.ru/eng/mm1035 https://www.mathnet.ru/eng/mm/v12/i11/p77
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Abstract page: | 284 | Full-text PDF : | 127 | First page: | 2 |
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