کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629187 | 1340575 | 2013 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A reaction-diffusion system with mixed-type coupling
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper deals with asymptotic behavior of solutions to a reaction-diffusion system coupled via localized and local sources: ut=Îu+vp(xâ(t),t),vt=Îv+uq. Both the initial-boundary problem with null Dirichlet boundary condition and the Cauchy problem are considered to study the interaction between the two kinds of sources. For the initial-boundary problem we prove that the nonglobal solutions blow up everywhere in the bounded domain with uniform blow-up profiles. In addition, it is interesting to observe that the Cauchy problem admits an infinity Fujita exponent, namely, the solutions blow up under any nontrivial and nonnegative initial data whenever pq>1. All these imply that the blow-up behavior of solutions is governed by the localized source for the two problems with mixed-type coupling.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 9, 1 January 2013, Pages 4219-4224
Journal: Applied Mathematics and Computation - Volume 219, Issue 9, 1 January 2013, Pages 4219-4224
نویسندگان
Jinhuan Wang, Lizhong Zhao, Sining Zheng,