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Nonequilibrium Hydrodinamical Processes with Memory and Nonlocality. Mathematical Models and Their Solutions

Alexander Makarenko

p. 81-94

    Abstract

    The mathematical models for different hierarchical levels of transport processes are discussed. The model equations with memory effects accounting are proposed. Such equations are hyperbolic modifications of the Burgers equation and the Navies- Stokes system. Also the new systems of ordinary differential equations are proposed for investigation memory effects influence on chaos. Some numerical examples of chaotical behaviour in such systems are included.

    Index

    Keywords

    hierarchical levels, memory, nonlocality, chaos, collapse

    Text

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    References

    Bibliographical reference

    Alexander Makarenko, « Nonequilibrium Hydrodinamical Processes with Memory and Nonlocality. Mathematical Models and Their Solutions », CASYS, 5 | 2000, 81-94.

    Electronic reference

    Alexander Makarenko, « Nonequilibrium Hydrodinamical Processes with Memory and Nonlocality. Mathematical Models and Their Solutions », CASYS [Online], 5 | 2000, Online since 08 October 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=755

    Author

    Alexander Makarenko

    National Technical University of Ukraine (KPI), Institute of Applied System Analysis Pobedy Ave.,37.IASA, Dept.Mathematical Methods of System Analysis 252056, Kiev, Ukraine

    By this author

    Copyright

    CC BY-SA 4.0 Deed