کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773434 | 1631319 | 2017 | 35 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Consider a rigid body SâR3 immersed in an infinitely extended Navier-Stokes fluid. We are interested in self-propelled motions of S in the steady state regime of the system rigid body-fluid, assuming that the mechanism used by the body to reach such a motion is modeled through a distribution of velocities vâ on âS. If the velocity V of S is given, can we find vâ that generates V? We show that this can be solved as a control problem in which vâ is a six-dimensional control such that either SuppvââÎ, an arbitrary nonempty open subset of âΩ, or vââ n|âΩ=0. We also show that one of the self-propelled conditions implies a better summability of the fluid velocity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 34, Issue 6, NovemberâDecember 2017, Pages 1507-1541
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 34, Issue 6, NovemberâDecember 2017, Pages 1507-1541
نویسندگان
Toshiaki Hishida, Ana Leonor Silvestre, Takéo Takahashi,