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Short communication, Note

First Integral Method for Evaluation of the Relations Between Components of Bray-Liebhafsky Models

Djuro M. Mišljenović ; Computer Laboratory* Institute of Physical Chemistry, Faculty of Sciences, University of Belgrade, Studentski trg 16, Belgrade, Yugoslavia
Ljiljana Kolar-Anić ; Computer Laboratory* Institute of Physical Chemistry, Faculty of Sciences, University of Belgrade, Studentski trg 16, Belgrade, Yugoslavia


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Abstract

The first integral method is used for transformation of the set of non-linear differential equations for the time evolution of components in Bray-Liebhafsky models. The capabilities for the method are demonstrated on the models proposed by Schmitz and Furrow.
The method gives us time invariant relations between the components during the course of the process. They correspond to the conservation laws. The relations developed are allways linear; more precisely, we obtain alllinearly independent relations.
As the result of the proposed transformations, the starting system is simplified to one with fewer number of non-linear differential equations and with complementary number of linear relations. In order to perform simplification, linear relations could be explicitly solved and substituted to the system. The method can be applied to any complex reaction model without any additional difficulty.

Keywords

Hrčak ID:

176527

URI

https://hrcak.srce.hr/176527

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