کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904475 1633705 2017 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Zero dissipation limit to a Riemann solution for the compressible Navier-Stokes system of general gas
ترجمه فارسی عنوان
محدوده آزاد شدن صفر به یک راه حل ریمان برای سیستم فشاری ناییر استوکس گاز عمومی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
For the general gas including ideal polytropic gas, we study the zero dissipation limit problem of the full 1-D compressible Navier-Stokes equations toward the superposition of contact discontinuity and two rarefaction waves. In the case of both smooth and Riemann initial data, we show that if the solutions to the corresponding Euler system consist of the composite wave of two rarefaction wave and contact discontinuity, then there exist solutions to Navier-Stokes equations which converge to the Riemman solutions away from the initial layer with a decay rate in any fixed time interval as the viscosity and the heat-conductivity coefficients tend to zero. The proof is based on scaling arguments, the construction of the approximate profiles and delicate energy estimates. Notice that we have no need to restrict the strengths of the contact discontinuity and rarefaction waves to be small.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 37, Issue 5, September 2017, Pages 1177-1208
نویسندگان
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