# American Institute of Mathematical Sciences

October  2011, 4(5): 1213-1225. doi: 10.3934/dcdss.2011.4.1213

## Dissipative solitons in binary fluid convection

 1 Departament de Física Aplicada, Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Spain, Spain, Spain 2 Department of Physics, University of California, California, Berkeley, CA 94720, United States

Received  July 2009 Revised  January 2010 Published  December 2010

A horizontal layer containing a miscible mixture of two fluids can produce dissipative solitons when heated from below. The physics of the system is described, and dissipative solitons are computed using numerical continuation for three distinct sets of experimentally realizable parameter values. The stability of the solutions is investigated using direct numerical integration in time and related to the stability properties of the competing periodic state.
Citation: Isabel Mercader, Oriol Batiste, Arantxa Alonso, Edgar Knobloch. Dissipative solitons in binary fluid convection. Discrete & Continuous Dynamical Systems - S, 2011, 4 (5) : 1213-1225. doi: 10.3934/dcdss.2011.4.1213
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