کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775330 | 1413580 | 2017 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Qualitative properties of nonlinear parabolic operators
ترجمه فارسی عنوان
خواص کیفی اپراتورهای غیر خطی پارابولیک
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کلمات کلیدی
مشکلات پارابولوژیکی غیر خطی، خواص کیفی، حداکثر اصل، راه حل عددی،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
It is a natural expectation that the mathematical models of real-life phenomena have to possess some characteristic qualitative properties of the original process. For parabolic problems the main known qualitative properties are the maximum-minimum principles, nonnegativity-nonpositivity preservation and maximum norm contractivity. These properties have a fundamental relevance concerning the validity of the mathematical or numerical model: without them, the model might produce unphysical quantities that contradict reality. For linear problems with Dirichlet boundary conditions, these properties have been thoroughly investigated and their relations have been characterized. In the present paper, we extend the linear results to nonlinear problems with general boundary conditions. Firstly, we characterize various implications between the qualitative properties. Some of them are given in general, and in certain cases we restrict our study to operators with gradient-dependent principal part or to operators with heat conduction coefficient. Secondly, we give general sufficient conditions to ensure these qualitative properties, both separately and all of them together. The relations are illustrated with several examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 448, Issue 1, 1 April 2017, Pages 473-497
Journal: Journal of Mathematical Analysis and Applications - Volume 448, Issue 1, 1 April 2017, Pages 473-497
نویسندگان
István Faragó, Róbert Horváth, János Karátson, Sergey Korotov,