Optimal boundary control of the Boussinesq approximation for polymeric fluids
ES Baranovskii - Journal of Optimization Theory and Applications, 2021 - Springer
We consider an optimal control problem for non-isothermal steady flows of low-concentrated
aqueous polymer solutions in a bounded 3D domain. In this problem, the state functions are …
aqueous polymer solutions in a bounded 3D domain. In this problem, the state functions are …
Global solutions for a model of polymeric flows with wall slip
ES Baranovskii - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
We consider the initial‐boundary value problem for a model of motion of aqueous polymer
solutions in a bounded three‐dimensional domain subject to the Navier slip boundary …
solutions in a bounded three‐dimensional domain subject to the Navier slip boundary …
Existence of optimal control for a nonlinear‐viscous fluid model
ES Baranovskii, MA Artemov - International Journal of …, 2016 - Wiley Online Library
We consider the optimal control problem for a mathematical model describing steady flows
of a nonlinear‐viscous incompressible fluid in a bounded three‐dimensional (or a two …
of a nonlinear‐viscous incompressible fluid in a bounded three‐dimensional (or a two …
Mixed initial–boundary value problem for equations of motion of Kelvin–Voigt fluids
ES Baranovskii - Computational Mathematics and Mathematical Physics, 2016 - Springer
The initial–boundary value problem for equations of motion of Kelvin–Voigt fluids with mixed
boundary conditions is studied. The no-slip condition is used on some portion of the …
boundary conditions is studied. The no-slip condition is used on some portion of the …
Solvability of the Boussinesq approximation for water polymer solutions
MA Artemov, ES Baranovskii - Mathematics, 2019 - mdpi.com
We consider nonlinear Boussinesq-type equations that model the heat transfer and steady
viscous flows of weakly concentrated water solutions of polymers in a bounded three …
viscous flows of weakly concentrated water solutions of polymers in a bounded three …
Optimal control for a nonlocal model of non-Newtonian fluid flows
ES Baranovskii, MA Artemov - Mathematics, 2021 - mdpi.com
This paper deals with an optimal control problem for a nonlocal model of the steady-state
flow of a differential type fluid of complexity 2 with variable viscosity. We assume that the …
flow of a differential type fluid of complexity 2 with variable viscosity. We assume that the …
Non-Newtonian Pressure-Governed Rivulet Flows on Inclined Surface
SV Ershkov, DD Leshchenko - Mathematics, 2024 - mdpi.com
We have generalized, in the current study, the results of research presented earlier with the
aim of obtaining an approximate solution for the creeping, plane-parallel flow of viscoplastic …
aim of obtaining an approximate solution for the creeping, plane-parallel flow of viscoplastic …
Граничные задачи для уравнений движения полимерных жидкостей c нелинейным условием проскальзывания вдоль твердых стенок
МА Артёмов, ЕС Барановский - Труды Института математики и …, 2015 - mathnet.ru
Изучаются граничные задачи, описывающие движение полимерных жидкостей с
проскальзыванием вдоль твердых стенок области течения. В качестве условия …
проскальзыванием вдоль твердых стенок области течения. В качестве условия …
Об оптимальном управлении в модели жестко-вязко-пластической среды с граничными условиями Дирихле
МА Артёмов, АВ Скобанева - Сибирские электронные …, 2017 - mathnet.ru
In this paper, we consider the optimal control problem in a 3D flow model for incompressible
rigid-viscoplastic media of the Bingham kind with homogeneous Dirichlet boundary …
rigid-viscoplastic media of the Bingham kind with homogeneous Dirichlet boundary …
On optimal control in a model of rigid-viscoplastic media with Dirichlet boundary conditions
MA Artemov, AV Skobaneva - arXiv preprint arXiv:1708.06643, 2017 - arxiv.org
In this paper, we consider the optimal control problem in a 3D flow model for incompressible
rigid-viscoplastic media of the Bingham kind with homogeneous Dirichlet boundary …
rigid-viscoplastic media of the Bingham kind with homogeneous Dirichlet boundary …