کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613653 1338772 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Very weak solutions and large uniqueness classes of stationary Navier–Stokes equations in bounded domains of R2
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Very weak solutions and large uniqueness classes of stationary Navier–Stokes equations in bounded domains of R2
چکیده انگلیسی

Extending the notion of very weak solutions, developed recently in the three-dimensional case, to bounded domains Ω⊂R2 we obtain a new class of unique solutions u in Lq(Ω), q>2, to the stationary Navier–Stokes system −Δu+u⋅∇u+∇p=f, divu=k, u|∂Ω=g with data f,k,g of low regularity. As a main consequence we obtain a new uniqueness class also for classical weak or strong solutions. Indeed, such a solution is unique if its Lq-norm is sufficiently small or the data satisfy the uniqueness condition of a very weak solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 227, Issue 2, 15 August 2006, Pages 564-580