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• W98443217 abstract "We study the so-called Oswald ripening in reactive batch crystallizer by means of the mathematical models proposed in by N.S. Tavare in 1985. Such a model takes into account not only crystal growth but also the decrease of crystals when they have small dimensions. The model can be stated in terms of a nonlocal and nonlinear conservation law. Besides its relevance in the applications, which made specially interesting such a problem, from the mathematical point of view, is that it can be proved that when the initial datum is a measure (for instance, the addition of a flnite number of Dirac deltas located in some points fxigi=1;::;m) then the corresponding solution is not a L 1 -valued function but a measure-valued function n(¢;t).The main goal of this communication is to present some improvements on the previous mathematical treatment made by A. Friedman, B. Ou and D.S. Ross in 1989 (see also the treatment made on photographic fllms in the book by A. Friedman and W. Littman of 1994)." @default.
• W98443217 created "2016-06-24" @default.
• W98443217 creator A5034552996 @default.
• W98443217 date "2009-01-01" @default.
• W98443217 modified "2023-10-02" @default.
• W98443217 title "Measure-valued solutions to a nonlocal conservation law arising in crystal precipitation" @default.
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