Cohen, Donald S. and Keener, James P. (1975) Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions. SIAM Journal on Applied Mathematics, 28 (2). pp. 307-318. ISSN 0036-1399 http://resolver.caltech.edu/CaltechAUTHORS:COHsiamjam75
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We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a nonlinear integro-differential equation. The mechanism controlling the oscillatory states is revealed by combining the theory of characteristics for first order partial differential equations with the multi-time scale perturbation analysis of a certain third order system of nonlinear ordinary differential equations.
|Additional Information:||© 1975 Society for Industrial and Applied Mathematics. Received by the editors November 23, 1973.|
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|Deposited By:||Kristin Buxton|
|Deposited On:||18 Dec 2008 03:15|
|Last Modified:||26 Dec 2012 10:38|
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