کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4664516 | 1345299 | 2008 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Zero dissipation limit of the compressible heat-conducting navier-stokes equations in the presence of the shock
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The zero dissipation limit of the compressible heat-conducting Navier—Stokes equations in the presence of the shock is investigated. It is shown that when the heat conduction coefficient κ and the viscosity coefficient ɛ satisfy κ =O(ɛ), , as ɛ → 0 (see (1.3)), if the solution of the corresponding Euler equations is piecewise smooth with shock wave satisfying the Lax entropy condition, then there exists a smooth solution to the Navier—Stokes equations, which converges to the piecewise smooth shock solution of the Euler equations away from the shock discontinuity at a rate of ɛ. The proof is given by a combination of the energy estimates and the matched asymptotic analysis introduced in [3].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 28, Issue 4, October 2008, Pages 727-748
Journal: Acta Mathematica Scientia - Volume 28, Issue 4, October 2008, Pages 727-748