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Self-sustained solitary waves in non-equilibrium media

Published online by Cambridge University Press:  26 April 2006

Anatoly A. Borissov  and
Oleg V. Sharypov
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Abstract

The paper is devoted to the creation of an original model of propagation of weak but finite-amplitude waves initiating an exothermic process connected with chemical reaction or relaxation of a non-equilibrium medium. The medium is single phase (a fluid), or a homogeneous two-phase medium (liquid with gas bubbles). A nonlinear differential model describing wave-kinetic interaction and wave evolution is derived. The linear dispersion and dissipative features of these systems are investigated both analytically and numerically. Attention is paid to explanation of the physical mechanisms resulting in the formation of a self-sustained solitary wave, which in terms of synergetics could be called a ‘dissipative structure’.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 257 , December 1993 , pp. 451 - 461
Copyright
© 1993 Cambridge University Press

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