دورية أكاديمية
Variational–hemivariational system for contaminant convection–reaction–diffusion model of recovered fracturing fluid
| العنوان: | Variational–hemivariational system for contaminant convection–reaction–diffusion model of recovered fracturing fluid |
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| المؤلفون: | Cen Jinxia, Migórski Stanisław, Yao Jen-Chih, Zeng Shengda |
| المصدر: | Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 527-550 (2024) |
| بيانات النشر: | De Gruyter, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Analysis |
| مصطلحات موضوعية: | convection–reaction–diffusion equation, nonsmooth navier-stokes equation, recovered fracturing fluid model, hemivariational inequality, alternative iterative method, 30c70, 49j40, 76d05, 35k57, 47j25, Analysis, QA299.6-433 |
| الوصف: | This work is devoted to study the convection–reaction–diffusion behavior of contaminant in the recovered fracturing fluid which flows in the wellbore from shale gas reservoir. First, we apply various constitutive laws for generalized non-Newtonian fluids, diffusion principles, and friction relations to formulate the recovered fracturing fluid model. The latter is a partial differential system composed of a nonlinear and nonsmooth stationary incompressible Navier-Stokes equation with a multivalued friction boundary condition, and a nonlinear convection–reaction–diffusion equation with mixed Neumann boundary conditions. Then, we provide the weak formulation of the fluid model which is a hemivariational inequality driven by a nonlinear variational equation. We establish existence of solutions to the recovered fracturing fluid model via a surjectivity theorem for multivalued operators combined with an alternative iterative method and elements of nonsmooth analysis. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2191-950X 2023-0141 |
| العلاقة: | https://doaj.org/toc/2191-950XTest |
| DOI: | 10.1515/anona-2023-0141 |
| الوصول الحر: | https://doaj.org/article/b82e85f265374583af5647d91e28130bTest |
| رقم الانضمام: | edsdoj.b82e85f265374583af5647d91e28130b |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 2191950X 20230141 |
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| DOI: | 10.1515/anona-2023-0141 |