کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4974111 1365519 2017 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Null controllability of some nonlinear degenerate 1D parabolic equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Null controllability of some nonlinear degenerate 1D parabolic equations
چکیده انگلیسی
The main goal of the present paper is twofold: (i) to establish the well-posedness of a class of nonlinear degenerate parabolic equations and (ii) to investigate the related null controllability and decay rate properties. In a previous step, we consider an appropriate regularized system, where a small parameter α is involved. More precisely, the usual nonlinear term b(x)uux is replaced by b(x)zux, where z=(Id.−α2A)−1u and A is a Poisson-Dirichlet operator. We investigate the behavior of the null controls and their associated states as α → 0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Franklin Institute - Volume 354, Issue 14, September 2017, Pages 6405-6421
نویسندگان
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