کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610054 1338542 2015 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mild solutions to a measure-valued mass evolution problem with flux boundary conditions
ترجمه فارسی عنوان
راه حل های خفیف برای یک مسئله تکامل با ارزش اندازه گیری با شرایط مرزی شار
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

We investigate the well-posedness and approximation of mild solutions to a class of linear transport equations on the unit interval [0,1][0,1] endowed with a linear discontinuous production term, formulated in the space M([0,1])M([0,1]) of finite Borel measures. Our working technique includes a detailed boundary layer analysis in terms of a semigroup representation of solutions in spaces of measures able to cope with the passage to the singular limit where thickness of the layer vanishes. We obtain not only a suitable concept of solutions to the chosen measure-valued evolution problem, but also derive convergence rates for the approximation procedure and get insight in the structure of flux boundary conditions for the limit problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 3, 5 August 2015, Pages 1068–1097
نویسندگان
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