کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1899108 | 1534073 | 2006 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Shattering and non-uniqueness in fragmentation models-an analytic approach
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Fragmentation equations have features which are rather unexpected in such a relatively simple linear framework. These are shattering, attributed to a phase transition creating a dust of 'zero' size particles, and the existence of multiple solutions. The existence of these phenomena indicates that the fragmentation equation alone does not offer a full description of the dynamics of the problem. In this paper we present a survey of recent results explaining both features from a unified dynamical systems point of view. We also use the developed theory to discuss a number of conjectures and observations made in the literature of the subject.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 222, Issues 1â2, October 2006, Pages 63-72
Journal: Physica D: Nonlinear Phenomena - Volume 222, Issues 1â2, October 2006, Pages 63-72
نویسندگان
J. Banasiak,