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Analysis of helium bubble growth in radioactive waste

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Carpio, Ana and Tapiador, B. (2010) Analysis of helium bubble growth in radioactive waste. Nonlinear Analysis: Real World Applications, 11 (5). pp. 4174-4184. ISSN 1468-1218

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Official URL: http://www.sciencedirect.com/science/article/pii/S1468121810000714



Abstract

A discrete kinetic model for the growth of helium bubbles in plutonium is proposed and analyzed. This model captures some relevant qualitative features of the time behavior of the distribution of bubble sizes. Analytic formulae for the solutions are given, which agree reasonably well with the numerical solutions, and a rigorous existence theory is established for three different equivalent formulations.


Item Type:Article
Uncontrolled Keywords:Discrete kinetic models; Integrodifferential equations; Discrete fronts; Irreversible molecular aggregation
Subjects:Sciences > Mathematics > Differential equations
Sciences > Physics > Thermodynamics
ID Code:14874
Deposited On:19 Apr 2012 08:30
Last Modified:12 Dec 2018 15:07

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