کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7222567 1470427 2018 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with zero heat conductivity
ترجمه فارسی عنوان
استحکام غیرخطی امواج تقریبی برای معادلات ناییر استوکس فشاری با هدایت گرما صفر
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
This paper is concerned with the time-asymptotic nonlinear stability of rarefaction waves to the Cauchy problem of the one-dimensional compressible Navier-Stokes equations with zero heat conductivity. Under the assumption that the unique global entropy solution to the resulting Riemann problem of the corresponding compressible Euler equations consists of rarefaction waves only, then if both the initial perturbation and the strengths of rarefaction waves are assumed to be suitably small, we show that its Cauchy problem admits a unique global solution which tends time-asymptotically toward the rarefaction waves. This result is proved by using the elementary energy method and the argument developed by Kawashima and Okada (1982).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis - Volume 174, September 2018, Pages 242-277
نویسندگان
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