کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634370 1631836 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The quenching phenomenon of a nonlocal semilinear heat equation with a weak singularity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The quenching phenomenon of a nonlocal semilinear heat equation with a weak singularity
چکیده انگلیسی

This paper is concerned with the combined effects of nonlocal and weak nonlinearities upon the quenching behavior of the solution of a nonlocal semilinear heat equation. It is shown that under some conditions the solution will quench at some finite time. The point-wise quenching rate estimate is also given in a backward space–time parabola near the quenching point. Our result demonstrates that the nonlocal nonlinearity in fact affects the quenching rate to some extent. Finally we apply our results to analyze a nonlocal blow-up problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 201, Issues 1–2, 15 July 2008, Pages 701–709
نویسندگان
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