Inverse coefficient problems for a non-linear convection–diffusion–reaction equation

RV Brizitskii, ZY Saritskaya - Izvestiya: Mathematics, 2018 - iopscience.iop.org
Inverse coefficient problems for a non-linear convection–diffusion–reaction equation -
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On some classes of inverse problems for parabolic equations

SG Pyatkov - 2011 - degruyter.com
We study solvability of inverse problems of finding the right-hand side together with a
solution itself for vector-valued parabolic equations. The usual boundary conditions are …

On some classes of coefficient inverse problems for parabolic systems of equations

SG Pyatkov, ML Samkov - Siberian Advances in Mathematics, 2012 - Springer
We examine the question on solvability in the Sobolev spaces of coefficient inverse
problems for parabolic systems of equations with the overdetermination conditions on a …

Two-parameter extremum problems of boundary control for stationary thermal convection equations

GV Alekseev, DA Tereshko - Computational Mathematics and …, 2011 - Springer
Two-parameter extremum problems of boundary control are formulated for the stationary
thermal convection equations with Dirichlet boundary conditions for velocity and with mixed …

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 …

On some classes of inverse problems for parabolic and elliptic equations

SG Pyatkov, BN Tsybikov - Journal of Evolution Equations, 2011 - Springer
We study solvability of inverse problems of finding the right-hand side together with a
solution itself for vector-valued parabolic and elliptic equations. The usual boundary …

Theoretical analysis and numerical implementation of a stationary diffusion–drift model of polar dielectric charging

RV Brizitskii, NN Maksimova… - … and Mathematical Physics, 2022 - Springer
The global solvability and local uniqueness of the solution of a boundary value problem for
the model of electron-induced charging of polar dielectrics are proved. The model is …

Inverse problems for the diffusion–drift model of charging of an inhomogeneous polar dielectric

RV Brizitskii, NN Maksimova… - … and Mathematical Physics, 2023 - Springer
The problems of reconstructing the unknown parameters of the model of electron-induced
charging of an inhomogeneous polar dielectric from additional information about the volume …

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 …

Stability of optimal controls for the stationary Boussinesq equations

G Alekseev, D Tereshko - International Journal of Differential …, 2011 - Wiley Online Library
The stationary Boussinesq equations describing the heat transfer in the viscous heat‐
conducting fluid under inhomogeneous Dirichlet boundary conditions for velocity and mixed …