کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900133 | 1631557 | 2018 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity Nonlocal Cahn-Hilliard-Navier-Stokes systems with shear dependent viscosity](/preview/png/8900133.png)
چکیده انگلیسی
We consider a diffuse interface model for the phase separation of an incompressible and isothermal non-Newtonian binary fluid mixture in three dimensions. The averaged velocity u is governed by a Navier-Stokes system with a shear dependent viscosity controlled by a power p>2. This system is nonlinearly coupled through the Korteweg force with a convective nonlocal Cahn-Hilliard equation for the order parameter Ï, that is, the (relative) concentration difference of the two components. The resulting equations are endowed with the no-slip boundary condition for u and the no-flux boundary condition for the chemical potential μ. The latter variable is the functional derivative of a nonlocal and nonconvex Ginzburg-Landau type functional which accounts for the presence of two phases. We first prove the existence of a weak solution in the case pâ¥11/5. Then we extend some previous results on time regularity and uniqueness if p>11/5.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 459, Issue 2, 15 March 2018, Pages 753-777
Journal: Journal of Mathematical Analysis and Applications - Volume 459, Issue 2, 15 March 2018, Pages 753-777
نویسندگان
Sergio Frigeri, Maurizio Grasselli, Dalibor Pražák,