کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419558 1339411 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A nonlinear diffusion system coupled via nonlinear boundary flux
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A nonlinear diffusion system coupled via nonlinear boundary flux
چکیده انگلیسی

In this paper, we deal with the global existence and nonexistence of solutions to a nonlinear diffusion system coupled via nonlinear boundary flux. By constructing various kinds of sub- and super-solutions and using the basic properties of M-matrix, we give the necessary and sufficient conditions for global existence of nonnegative solutions. The critical curve of Fujita type is conjectured with the aid of some new results, which extend the recent results of Wang et al. [Nonlinear Anal. 71 (2009) 2134-2140] and Li et al. [J. Math. Anal. Appl. 340 (2008) 876-883] to more general equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 376, Issue 2, 15 April 2011, Pages 613-624
نویسندگان
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