کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778431 | 1633769 | 2017 | 48 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Diffusive wave in the low Mach limit for compressible Navier-Stokes equations
ترجمه فارسی عنوان
موجهای نفوذی در حد ماخ پایین برای معادلات ناییر استوکس فشرده
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
چکیده انگلیسی
The low Mach limit for 1D non-isentropic compressible Navier-Stokes flow, whose density and temperature have different asymptotic states at infinity, is rigorously justified. The problems are considered on both well-prepared and ill-prepared data. For the well-prepared data, the solutions of compressible Navier-Stokes equations are shown to converge to a nonlinear diffusion wave solution globally in time as Mach number goes to zero when the difference between the states at 屉 is suitably small. In particular, the velocity of diffusion wave is only driven by the variation of temperature. It is further shown that the solution of compressible Navier-Stokes system also has the same property when Mach number is small, which has never been observed before. The convergence rates on both Mach number and time are also obtained for the well-prepared data. For the ill-prepared data, the limit relies on the uniform estimates including weighted time derivatives and an extended convergence lemma. And the difference between the states at 屉 can be arbitrary large in this case.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 319, 15 October 2017, Pages 348-395
Journal: Advances in Mathematics - Volume 319, 15 October 2017, Pages 348-395
نویسندگان
Feimin Huang, Tian-Yi Wang, Yong Wang,