کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610251 | 1338553 | 2014 | 46 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic stability of the compressible gas-liquid model with well-formation interaction and gravity
ترجمه فارسی عنوان
پایداری همپوشانی مدل مایع گاز مایع قابل انعطاف با تعامل خوب و جاذبه
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this paper we are concerned with the initial-boundary value problem of the compressible gas-liquid model with well-formation interaction and gravity. The asymptotic behavior of solutions to steady states is established. Also the time-decay rates of perturbed solutions in the sense of Lâ norm are obtained under some suitable assumptions on the initial date, if γ>1 (associated with pressure law of gas) and βâ(0,γ2]â©(0,γâαγ)â©(0,γ+αγ3] where β characterizes the viscosity coefficient and α describes the mass decay rate at the boundary. A main purpose of this work is to clarify the role played by the well-reservoir interaction term. The analysis demonstrates that it is essential to take into account information about sign as well as size of the interaction term in order to obtain time-independent estimates when it operates in combination with gravity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 257, Issue 9, 1 November 2014, Pages 3226-3271
Journal: Journal of Differential Equations - Volume 257, Issue 9, 1 November 2014, Pages 3226-3271
نویسندگان
Steinar Evje, Qingqing Liu, Changjiang Zhu,