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 …

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 …

Optimal boundary control of a system describing thermal convection

AI Korotkii, DA Kovtunov - Proceedings of the Steklov Institute of …, 2011 - Springer
A problem of optimal boundary control of thermal sources for a stationary model of natural
thermal convection of a high-viscosity inhomogeneous incompressible fluid in the …

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 …

The optimal start control problem for 2D Boussinesq equations

ES Baranovskii - Izvestiya: Mathematics, 2022 - iopscience.iop.org
We consider the problem of the optimal start control for two-dimensional Boussinesq
equations describing non-isothermal flows of a viscous fluid in a bounded domain. Using the …

Boundary control problem for a nonlinear convection–diffusion–reaction equation

RV Brizitskii, ZY Saritskaya - Computational Mathematics and …, 2018 - Springer
The solvability of boundary-value and extremum problems for a nonlinear convection–
diffusion–reaction equation with mixed boundary conditions is proved in the case where the …

Assimilating Data on the Location of the Free Surface of a Fluid Flow to Determine Its Viscosity

AI Korotkii, IA Tsepelev, AT Ismail-Zadeh - Proceedings of the Steklov …, 2022 - Springer
We consider a model of a two-phase immiscible incompressible viscous fluid flow and solve
an inverse problem to determine the fluid viscosity from a known location of its free surface …

Flow of a viscous incompressible fluid around a body: Boundary-value problems and minimization of the work of a fluid

AV Fursikov - Journal of Mathematical Sciences, 2012 - go.gale.com
The purpose of this work is to give a consistent account of solution of the problem of
minimizing the work performed by an incompressible fluid. Here, minimization is carried out …

Optimal Neumann control for the two-dimensional steady-state Navier-Stokes equations

AV Fursikov, R Rannacher - … Fluid Mechanics: The Alexander V. Kazhikhov …, 2010 - Springer
An optimal control problem, the minimization of drag, is considered for the 2D stationary
Navier-Stokes equations. The control is of Neumann kind and acts at a part of the boundary …

Optimization approach in modelling the effects of technological disasters

OV Soboleva, AV Brizitskaya… - IOP Conference Series …, 2020 - iopscience.iop.org
In present paper the applying of an optimization approach in modeling the effects of
technological disasters are studied. Mathematical models of the pollutants propagation in …