کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501692 | 1338776 | 2005 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Distributed control for a class of non-Newtonian fluids
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Distributed control for a class of non-Newtonian fluids Distributed control for a class of non-Newtonian fluids](/preview/png/9501692.png)
چکیده انگلیسی
We consider control problems with a general cost functional where the state equations are the stationary, incompressible Navier-Stokes equations with shear-dependent viscosity. The equations are quasi-linear. The control function is given as the inhomogeneity of the momentum equation. In this paper, we study a general class of viscosity functions which correspond to shear-thinning or shear-thickening behavior. The basic results concerning existence, uniqueness, boundedness, and regularity of the solutions of the state equations are reviewed. The main topic of the paper is the proof of Gâteaux differentiability, which extends known results. It is shown that the derivative is the unique solution to a linearized equation. Moreover, necessary first-order optimality conditions are stated, and the existence of a solution of a class of control problems is shown.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 219, Issue 1, 1 December 2005, Pages 116-143
Journal: Journal of Differential Equations - Volume 219, Issue 1, 1 December 2005, Pages 116-143
نویسندگان
Thomas Slawig,