کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8256413 | 1534016 | 2015 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence of the 2D Euler-α to Euler equations in the Dirichlet case: Indifference to boundary layers
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
In this article we consider the Euler-α system as a regularization of the incompressible Euler equations in a smooth, two-dimensional, bounded domain. For the limiting Euler system we consider the usual non-penetration boundary condition, while, for the Euler-α regularization, we use velocity vanishing at the boundary. We also assume that the initial velocities for the Euler-α system approximate, in a suitable sense, as the regularization parameter αâ0, the initial velocity for the limiting Euler system. For small values of α, this situation leads to a boundary layer, which is the main concern of this work. Our main result is that, under appropriate regularity assumptions, and despite the presence of this boundary layer, the solutions of the Euler-α system converge, as αâ0, to the corresponding solution of the Euler equations, in L2 in space, uniformly in time. We also present an example involving parallel flows, in order to illustrate the indifference to the boundary layer of the αâ0 limit, which underlies our work.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volumes 292â293, 1 February 2015, Pages 51-61
Journal: Physica D: Nonlinear Phenomena - Volumes 292â293, 1 February 2015, Pages 51-61
نویسندگان
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi, Aibin Zang,