کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774952 | 1413571 | 2017 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic stability of the rarefaction wave for the compressible quantum Navier-Stokes-Poisson equations
ترجمه فارسی عنوان
پایداری همبسته موج معرض موج معادلات ناویر استوکس-پواسون کوانتومی فشرده
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this study, we consider the large time behavior of the solution to the one-dimensional isentropic compressible quantum Navier-Stokes-Poisson equations. The system describes a compressible particle fluid under quantum effects with the potential function of the self-consistent electric field. We show that if the initial data are close to a constant state with asymptotic values at far fields selected such that the Riemann problem on the corresponding Euler system admits a rarefaction wave with a strength that is not necessarily small, then the solution exists for all time and it tends to the rarefaction wave as tâ+â. The proof is based on the energy method by considering the effect of the self-consistent electric field and quantum potential in the viscous compressible fluid. In addition, we compare the quantum compressible Navier-Stokes-Poisson equations and the corresponding compressible Navier-Stokes-Poisson equations based on the large-time behavior of these two classes of models.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 453, Issue 1, 1 September 2017, Pages 174-194
Journal: Journal of Mathematical Analysis and Applications - Volume 453, Issue 1, 1 September 2017, Pages 174-194
نویسندگان
Yeping Li, Wenlong Sun,