کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9503180 1339558 2005 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hemivariational inequalities for stationary Navier-Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Hemivariational inequalities for stationary Navier-Stokes equations
چکیده انگلیسی
In this paper we study a class of inequality problems for the stationary Navier-Stokes type operators related to the model of motion of a viscous incompressible fluid in a bounded domain. The equations are nonlinear Navier-Stokes ones for the velocity and pressure with nonstandard boundary conditions. We assume the nonslip boundary condition together with a Clarke subdifferential relation between the pressure and the normal components of the velocity. The existence and uniqueness of weak solutions to the model are proved by using a surjectivity result for pseudomonotone maps. We also establish a result on the dependence of the solution set with respect to a locally Lipschitz superpotential appearing in the boundary condition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 306, Issue 1, 1 June 2005, Pages 197-217
نویسندگان
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