کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4604101 1337416 2016 46 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local controllability to trajectories for non-homogeneous incompressible Navier–Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Local controllability to trajectories for non-homogeneous incompressible Navier–Stokes equations
چکیده انگلیسی

The goal of this article is to show a local exact controllability to smooth (C2C2) trajectories for the density dependent incompressible Navier–Stokes equations. Our controllability result requires some geometric condition on the flow of the target trajectory, which is remanent from the transport equation satisfied by the density. The proof of this result uses a fixed point argument in suitable spaces adapted to a Carleman weight function that follows the flow of the target trajectory. Our result requires the proof of new Carleman estimates for heat and Stokes equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 33, Issue 2, March–April 2016, Pages 529–574
نویسندگان
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