کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7222095 1470387 2018 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematical modeling of biofilm development
ترجمه فارسی عنوان
مدل سازی ریاضی توسعه بیوفیلم
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
We perform mathematical analysis of the biofilm development process. A model describing biomass growth is proposed: It arises from coupling three parabolic nonlinear equations: a biomass equation with degenerate and singular diffusion, a nutrient transport equation with a biomass-density dependent diffusion, and an equation of the Navier-Stokes type, describing the fluid flow in which the biofilm develops. This flow is subject to a biomass' density-dependent obstacle. The model is treated as a system of three inclusions, or variational inequalities; the equation of the Navier-Stokes type causes major difficulties for the system's solvability. Our approach is based on the recent development of the theory on Navier-Stokes variational inequalities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 42, August 2018, Pages 422-447
نویسندگان
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