کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839348 1470465 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global solutions to the generalized Leray-alpha equation with mixed dissipation terms
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global solutions to the generalized Leray-alpha equation with mixed dissipation terms
چکیده انگلیسی

Due to the intractability of the Navier–Stokes equation, it is common to study approximating equations. Two of the most common of these are the Leray-αα equation (which replaces the solution uu with (1−α2L1)u(1−α2L1)u for a Fourier Multiplier LL) and the generalized Navier–Stokes equation (which replaces the viscosity term ν△ν△ with νL2νL2). In this paper we consider the combination of these two equations, called the generalized Leray-αα equation. We provide a brief outline of the typical strategies used to solve such equations, and prove, with initial data in a low-regularity Lp(Rn)Lp(Rn) based Sobolev space, the existence of a unique local solution with γ1+γ2>n/p+1γ1+γ2>n/p+1. In the p=2p=2 case, the local solution is extended to a global solution, improving on previously known results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 136, May 2016, Pages 102–116
نویسندگان
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