Wave bifurcation in models for heterogeneous catalysis.
Krömker, S. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Krömker, S. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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P.M.J. Trevelyan, A. Pereira, S. Kalliadasis (2012)
Mathematical Modelling of Natural Phenomena
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Consider the dynamics of a thin film flowing down an inclined plane under the action of gravity and in the presence of a first-order exothermic chemical reaction. The heat released by the reaction induces a thermocapillary Marangoni instability on the film surface while the film evolution affects the reaction by influencing heat/mass transport through convection. The main parameter characterizing the reaction-diffusion process is the Damköhler number. We investigate the complete range...
Mariana Haragus, Arnd Scheel (2006)
Annales de l'I.H.P. Analyse non linéaire
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Gera, Dinesh, Gautam, Mridul, Gangarao, Hota V.S. (1997)
International Journal of Mathematics and Mathematical Sciences
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Zhou, Jiangbo, Tian, Lixin (2009)
Mathematical Problems in Engineering
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Belk, M., Kazmierczak, B., Volpert, V. (2005)
International Journal of Mathematics and Mathematical Sciences
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Ling, Rina (1987)
International Journal of Mathematics and Mathematical Sciences
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Shin-Ichiro Ei, Kota Ikeda, Masaharu Nagayama, Akiyasu Tomoeda (2014)
Mathematica Bohemica
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Unidirectional motion along an annular water channel can be observed in an experiment even with only one camphor disk or boat. Moreover, the collective motion of camphor disks or boats in the water channel exhibits a homogeneous and an inhomogeneous state, depending on the number of disks or boats, which looks like a kind of bifurcation phenomena. In a theoretical research, the unidirectional motion is represented by a traveling wave solution in a model. Hence it suffices to investigate...
Feng, Bao-Feng (2004)
International Journal of Mathematics and Mathematical Sciences
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