کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
756243 | 1462327 | 2014 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An application of a conjecture due to Ervedoza and Zuazua concerning the observability of the heat equation in small time to a conjecture due to Coron and Guerrero concerning the uniform controllability of a convection–diffusion equation in the vanishing
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The aim of this short paper is to explore a new connection between a conjecture concerning sharp boundary observability estimates for the 11-D heat equation in small time and a conjecture concerning the cost of null-controllability for a 11-D convection–diffusion equation with constant coefficients controlled on the boundary in the vanishing viscosity limit, in the spirit of what was done in Pierre Lissy (2012). We notably establish that the first conjecture implies the second one as soon as the speed of the transport part is non-negative in the transport-diffusion equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 69, July 2014, Pages 98–102
Journal: Systems & Control Letters - Volume 69, July 2014, Pages 98–102
نویسندگان
Pierre Lissy,