کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841585 908514 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic stability of viscous contact wave for the one-dimensional compressible viscous gas with radiation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Asymptotic stability of viscous contact wave for the one-dimensional compressible viscous gas with radiation
چکیده انگلیسی

In this paper, we study the large-time behavior of solutions of the Cauchy problem to a one-dimensional Navier–Stokes–Poisson coupled system, modeling the dynamics of a viscous gas in the presence of radiation. When the far field states are suitably given, and the corresponding Riemann problem for the Euler system admits only a contact discontinuity wave solution with the far field states as Riemann initial data. Then, we can define a “viscous contact wave” for such a Navier–Stokes–Poisson coupled system. Based on elementary energy methods and ellipticity of the equation of the radiation flux, we can prove the “viscous contact wave” is stable provided the strength of the contact discontinuity wave and the perturbation of the initial data are suitably small.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 12, August 2011, Pages 4138–4151
نویسندگان
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