Theoretical analysis of boundary value problems for generalized Boussinesq model of mass transfer with variable coefficients

G Alekseev, R Brizitskii - Symmetry, 2022 - mdpi.com
A boundary value problem is formulated for a stationary model of mass transfer, which
generalizes the Boussinesq approximation in the case when the coefficients in the model …

Optimal control problems for the reaction–diffusion–convection equation with variable coefficients

ES Baranovskii, RV Brizitskii, ZY Saritskaia - Nonlinear Analysis: Real …, 2024 - Elsevier
The solvability of optimal control problems is proved on both weak and strong solutions of a
boundary value problem for the nonlinear reaction–diffusion–convection equation with …

On Flows of Bingham‐Type Fluids with Threshold Slippage

ES Baranovskii - Advances in Mathematical Physics, 2017 - Wiley Online Library
We investigate a mathematical model describing 3D steady‐state flows of Bingham‐type
fluids in a bounded domain under threshold‐slip boundary conditions, which state that flows …

Multiplicative control problems for nonlinear reaction-diffusion-convection model

RV Brizitskii, ZY Saritskaia - Journal of Dynamical and Control Systems, 2021 - Springer
Global solvability of a boundary value problem for a generalized Boussinesq model is
proved in the case, when reaction coefficient depends nonlinearly on concentration of …

Boundary value and control problems for the stationary heat transfer model with variable coefficients

ES Baranovskii, RV Brizitskii, ZY Saritskaia - Journal of Dynamical and …, 2024 - Springer
A stationary heat transfer model generalizing the Boussinesq approximation is considered.
For the corresponding boundary value problem the property of a global existence of its weak …

Analysis of inhomogeneous boundary value problems for generalized Boussinesq model of mass transfer

B RV, S Zh. Yu - Journal of Dynamical and Control Systems, 2023 - Springer
The global solvability of the boundary value problem for the nonlinear mass transfer
equations is proved under inhomogeneous Dirichlet boundary conditions for the velocity …

Multiplicative Control Problem for the Stationary Mass Transfer Model with Variable Coefficients

ES Baranovskii, RV Brizitskii, ZY Saritskaia - Applied Mathematics & …, 2024 - Springer
The global existence of a weak solution of a mixed boundary value problem for the
stationary mass transfer equations with variable coefficients is proved. The maximum and …

Boundary Value and Control Problems for the Stationary Magnetic Hydrodynamic Equations of Heat Conducting Fluid with Variable Coefficients

RV Brizitskii - Journal of Dynamical and Control Systems, 2024 - Springer
The global solvability and local uniqueness of boundary value problem's solutions for
stationary magnetic hydrodynamic equations for heat conducting fluid with variable …

Boundary Value and Control Problems for Mass Transfer Equations with Variable Coefficients

RV Brizitskii - Journal of Dynamical and Control Systems, 2024 - Springer
Boundary value and control problems for nonlinear mass transfer equation are studied in the
case when the viscosity and diffusion coefficients depend on the substance's concentration …

Boundary value and extremum problems for generalized Oberbeck–Boussinesq model

RV Brizitskii, ZY Saritskaya, RR Kravchuk - Сибирские электронные …, 2019 - mathnet.ru
Boundary value and extremum problems for a generalized Oberbeck–Boussinesq model
are considered under the assumption that the reaction coefficient depends nonlinearly on …