کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898734 1631497 2018 60 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions
ترجمه فارسی عنوان
راه حل های جهانی برای مسئله خلاء فیزیکی ستاره های گازدار چسبنده غیر استریپت و پایداری آستانه ی غیر خطی راه حل های ایستا
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
This paper is concerned with spherically symmetric motions of non-isentropic viscous gaseous stars with self-gravitation. When the stationary entropy S‾(x) is spherically symmetric and satisfies a suitable smallness condition, the existence and properties of the stationary solutions are obtained for 65<γ<2 with weaker constraints upon S‾(x) compared with the one in [26], where γ is the adiabatic exponent. The global existence of strong solutions capturing the physical vacuum singularity that the sound speed is C12-Hölder continuous across the vacuum boundary to a simplified system for non-isentropic viscous flow with self-gravitation and the nonlinear asymptotic stability of the stationary solution are proved when 43<γ<2 with the detailed convergence rates, motivated by the results and analysis of the nonlinear asymptotic stability of Lane-Emden solutions for isentropic flows in [29], [30].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 1, 5 July 2018, Pages 177-236
نویسندگان
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