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 …

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 …

Stability estimates in identification problems for the convection-diffusion-reaction equation

GV Alekseev, IS Vakhitov, OV Soboleva - Computational Mathematics and …, 2012 - Springer
Identification problems for the stationary convection-diffusion-reaction equation in a
bounded domain with a Dirichlet condition imposed on the boundary of the domain are …

Stability of solutions of control problems for the convection–diffusion–reaction equation with a strong nonlinearity

RV Brizitskii, ZY Saritskaya - Differential Equations, 2017 - Springer
We consider a boundary control problem for the stationary convection–diffusion–reaction
equation in which the reaction constant depends on the concentration of matter in such a …

Analysis of boundary value and extremum problems for a nonlinear reaction–diffusion–convection equation

RV Brizitskii, VS Bystrova, ZY Saritskaia - Differential Equations, 2021 - Springer
The global solvability of boundary value problems for the reaction–diffusion–convection
equation is proved for the case in which the reaction coefficient in the equation and the mass …

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 …

Stability of solutions to extremum problems for the nonlinear convection–diffusion–reaction equation with the Dirichlet condition

RV Brizitskii, ZY Saritskaya - Computational Mathematics and …, 2016 - Springer
The solvability of the boundary value and extremum problems for the convection–diffusion–
reaction equation in which the reaction coefficient depends nonlinearly on the concentration …

Boundary and extremum problems for the nonlinear reaction–diffusion–convection equation under the Dirichlet condition

RV Brizitskii, PA Maksimov - Computational Mathematics and …, 2021 - Springer
The global solvability of a boundary value problem for the reaction–diffusion–convection
equation in which the reaction coefficient nonlinearly depends on the solution is proved. An …

Multiplicative control problems for nonlinear convection diffusion reaction equation

RV Brizitskii, ZY Saritskaya, AI Byrganov - Сибирские электронные …, 2016 - mathnet.ru
Control problem for convection-diffusion-reaction equation, in which reaction coefficient
depends nonlinearly on substance's concentration, is considered. Velocity vector …