کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7222764 1470498 2014 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Non-isothermal Navier-Stokes system with mixed boundary conditions and friction law: Uniqueness and regularity properties
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Non-isothermal Navier-Stokes system with mixed boundary conditions and friction law: Uniqueness and regularity properties
چکیده انگلیسی
We consider an unsteady non-isothermal fluid flow subjected to non-homogeneous Dirichlet conditions on a part of the boundary and Tresca's friction law on the other part. For this problem an existence result has been proved recently in Boukrouche et al. (2014) but uniqueness has been left as an open question. Starting from the approximation of the problem based on a regularization of the free boundary condition due to friction combined with a special penalty method, we establish some sharp a priori estimates leading to better regularity properties for the velocity field and to the uniqueness of the solutions. Finally we study the regularity of the pressure field and of the stress tensor.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 102, June 2014, Pages 168-185
نویسندگان
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