کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610451 1338564 2014 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Inflow problem for the one-dimensional compressible Navier–Stokes equations under large initial perturbation
ترجمه فارسی عنوان
مسئله نفوذ برای معادلات ناوبره استوکس یکپارچه تحت اختلال اولیه بزرگ است
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

This paper is concerned with the inflow problem for the one-dimensional compressible Navier–Stokes equations. For such a problem, Matsumura and Nishihara showed in [10] that there exists boundary layer solution to the inflow problem, and that both the boundary layer solution, the rarefaction wave, and the superposition of boundary layer solution and rarefaction wave are nonlinear stable under small initial perturbation. The main purpose of this paper is to show that similar stability results for the boundary layer solution and the supersonic rarefaction wave still hold for a class of large initial perturbation which can allow the initial density to have large oscillation. The proofs are given by an elementary energy method and the key point is to deduce the desired lower and upper bounds on the density function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 257, Issue 10, 15 November 2014, Pages 3521–3553
نویسندگان
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