01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
30.05.1984
E-mail:
Keywords:
non-Newtonian fluids;
heat and mass transfer;
slip boundary conditions;
nonlinear boundary value problems;
weak solutions;
strong solutions;
exact solutions;
regularity criterion;
boundary control;
optimal control;
topological degree.
UDC:
517.977, 517.98
Subject:
Mathematical Fluid Dynamics, Non-Newtonian Fluids, Nonlinear Boundary Value Problems, Nonlinear Functional Analysis, Control and Optimization of Systems, Topological Degree Theory
Main publications:
E. S. Baranovskii, “The Navier–Stokes–Voigt equations with position-dependent slip boundary conditions”, Z. Angew. Math. Phys., 74:1 (2023), 6, 18 pp.
E. S. Baranovskii, “Steady flows of an Oldroyd fluid with threshold slip”, Commun. Pure Appl. Anal., 18:2 (2019), 735–750
E. S. Baranovskii, “Optimal boundary control of the Boussinesq approximation for polymeric fluids”, J. Optim. Theory Appl., 189 (2021), 623–645
E. S. Baranovskii, “The optimal start control problem for 2D Boussinesq equations”, Izv. Math., 86:2 (2022), 221–242
E. S. Baranovskii, “Optimal boundary control of nonlinear-viscous fluid flows”, Sb. Math., 211:4 (2020), 505–520
E. S. Baranovskii, R. V. Brizitskii, Zh. Yu. Saritskaia, “Optimal control problems for the reaction–diffusion–convection equation with variable coefficients”, Nonlinear Anal. Real World Appl., 75 (2024), 103979 , 26 pp.
E. S. Baranovskii, “Analytical solutions to the unsteady Poiseuille flow of a second grade fluid with slip boundary conditions”, Polymers, 16:2 (2024), 179 , 16 pp.
E. S. Baranovskii, “The Stationary Navier–Stokes–Boussinesq System with a Regularized Dissipation Function”, Math. Notes, 115:5 (2024), 670–682
5.
E. S. Baranovskii, O. Yu. Shishkina, “Generalized Boussinesq system with energy dissipation: Existence of stationary solutions”, Mathematics, 12:5 (2024), 756 , 15 pp.
C. Kim, J. Pak, C. Sin, E.S. Baranovskii, “Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component”, Z. Angew. Math. Phys., 75 (2024), 69 , 14 pp.
7.
E. S. Baranovskii, R. V. Brizitskii, Zh. Yu. Saritskaia, “Boundary value and control problems for the stationary heat transfer model with variable coefficients”, J. Dyn. Control Syst., 30 (2024), 26 , 16 pp.
2023
8.
C. Sin, E. S. Baranovskii, “Hölder continuity of solutions for unsteady generalized Navier–Stokes equations with $p(x,t)$-power law in 2D”, J. Math. Anal. Appl., 517:2 (2023), 126632
E. S. Baranovskii, “The Navier–Stokes–Voigt equations with position-dependent slip boundary conditions”, Z. Angew. Math. Phys., 74:1 (2023), 6 , 18 pp.
E. S. Baranovskii, “Initial–boundary value problem for flows of a fluid with memory in a 3D network-like domain”, Differ. Equ., 59:4 (2023), 510–520
12.
J. Pak, C. Sin, E. S. Baranovskii, “Regularity criterion for 3D shear-thinning fluids via one component of velocity”, Appl. Math. Optim., 88 (2023), 48 , 14 pp.
E. S. Baranovskii, M. A. Artemov, “Optimal Dirichlet boundary control for the corotational Oldroyd model”, Mathematics, 11:12 (2023), 2719 , 12 pp.
14.
C. Sin, J. Pak, E. S. Baranovskii, “Regularity criteria for 3D shear-thinning fluids in terms of two components of vorticity”, Math. Methods Appl. Sci., 46:17 (2023), 18387–18399
S. Sin, E. S. Baranovskii, “Regularity criterion for 3D generalized Newtonian fluids in BMO”, J. Differential Equations, 377 (2023), 859–872
2022
16.
E. S. Baranovskii, “The optimal start control problem for 2D Boussinesq equations”, Izv. Math., 86:2 (2022), 221–242
17.
E. S. Baranovskii, “Feedback Optimal Control Problem for a Network Model of Viscous Fluid Flows”, Math. Notes, 112:1 (2022), 26–39
18.
E. S. Baranovskii, M. A. Artemov, “Generalized Navier–Stokes equations with non-homogeneous boundary conditions”, Fractal Fract., 6:7 (2022), 373 , 11 pp.
19.
E. S. Baranovskii, M. A. Artemov, “Model for aqueous polymer solutions with damping term: Solvability and vanishing relaxation limit”, Polymers, 14:18 (2022), 3789 , 17 pp.
E. S. Baranovskii, V. V. Provotorov, M. A. Artemov, A. P. Zhabko, “Non-isothermal creeping flows in a pipeline network: Existence results”, Symmetry, 13:7, Special Issue “Mathematical Fluid Dynamics and Symmetry” (2021), 1300 , 15 pp.
E. S. Baranovskii, N. V. Burmasheva, E. Yu. Prosviryakov, “Exact solutions to the Navier–Stokes equations with couple stresses”, Symmetry, 13:8, Special Issue “Mathematical Fluid Dynamics and Symmetry” (2021), 1355 , 12 pp.
E. S. Baranovskii, E. Lenes, E. Mallea-Zepeda, J. Rodríguez, L. Vásquez, “Control problem related to 2D Stokes equations with variable density and viscosity”, Symmetry, 13:11, Special Issue “Mathematical Fluid Dynamics and Symmetry” (2021), 2050 , 22 pp.
E. S. Baranovskii, A. A. Domnich, “Model of a nonuniformly heated viscous flow through a bounded domain”, Differ. Equ., 56:3 (2020), 304–314
30.
A. A. Domnich, E. S. Baranovskii, M. A. Artemov, “A nonlinear model of the non-isothermal slip flow between two parallel plates”, J. Phys. Conf. Ser., 1479 (2020), 012005 , 9 pp.
E. V. Semka, M. A. Artemov, Y. N. Babkina, E. S. Baranovskii, A. I. Shashkin, “Mathematical modeling of rotating disk states”, J. Phys. Conf. Ser., 1479 (2020), 012122 , 16 pp.
E. S. Baranovskii, A. A. Domnich, M. A. Artemov, “Optimal boundary control of non-isothermal viscous fluid flow”, Fluids, 4:3, Special Issue “Recent Advances in Mechanics of Non-Newtonian Fluids” (2019), 133 , 14 pp.
A. A. Domnich, E. S. Baranovskii, M. A. Artemov, “On a mathematical model of non-isothermal creeping flows of a fluid through a given domain”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:3 (2019), 417–429
37.
M. A. Artemov, E. S. Baranovskii, A. P. Zhabko, V. V. Provotorov, “On a 3D model of non-isothermal flows in a pipeline network”, J. Phys. Conf. Ser., 1203 (2019), 012094 , 9 pp.
N. N. Aleksandrova, M. A. Artemov, E. S. Baranovskii, A. I. Shashkin, “On stress/strain state in a rotating disk”, J. Phys. Conf. Ser., 1203 (2019), 012001 , 8 pp.
E. S. Baranovskii, M. A. Artemov, “Steady flows of second-grade fluids subject to stick-slip boundary conditions”, Proceedings of 23rd International Conference Engineering Mechanics 2017 (Svratka, Czech Republic, 15–18 May 2017), Brno University of Technology, 2017, 110–113
44.
E. S. Baranovskii, “On flows of Bingham-type fluids with threshold slippage”, Adv. Math. Phys., 2017 (2017), 7548328 , 6 pp.
E. S. Baranovskii, M. A. Artemov, “Steady flows of second-grade fluids in a channel”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 13:4 (2017), 342–353
2016
46.
E. S. Baranovskii, “Mixed initial-boundary value problem for equations of motion of Kelvin–Voigt fluids”, Comput. Math. Math. Phys., 56:7 (2016), 1363–1371
47.
E. S. Baranovskii, M. A. Artemov, “Existence of optimal control for a nonlinear-viscous fluid model”, Int. J. Differ. Equ., 2016 (2016), Article ID 9428128 , 6 pp.
M. A. Artemov, E. S. Baranovskii, “Boundary value problems for motion equations of polymeric fluids with nonlinear slip condition on solid walls”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 1, 2015, 14–24
49.
E. S. Baranovskii, “Existence results for regularized equations of second-grade fluids with wall slip”, Electron. J. Qual. Theory Differ. Equ., 2015, 91 , 12 pp.
M. A. Artemov, E. S. Baranovskii, “Mixed boundary-value problems for motion equations of a viscoelastic medium”, Electron. J. Diff. Equ., 2015 (2015), No. 252 , 9 pp.
2014
51.
E. S. Baranovskii, “Optimal control for steady flows of the Jeffreys fluids with slip boundary condition”, J. Appl. Industr. Math., 8:2 (2014), 168–176
52.
E. S. Baranovskii, “On steady motion of viscoelastic fluid of Oldroyd type”, Sb. Math., 205:6 (2014), 763–776
53.
E. S. Baranovskii, “Flows of a polymer fluid in domain with impermeable boundaries”, Comput. Math. Math. Phys., 54:10 (2014), 1589–1596
54.
E. S. Baranovskiǐ, “An optimal boundary control problem for the motion equations of polymer solutions”, Siberian Adv. Math., 24:3 (2014), 159–168
2013
55.
E. S. Baranovskii, “An inhomogeneous boundary value problem for the stationary motion equations of Jeffreys viscoelastic medium”, J. Appl. Industr. Math., 7:1 (2013), 22–28
2012
56.
E. S. Baranovskii, “Solvability of the stationary optimal control problem for motion equations of second grade fluids”, Siberian Electronic Mathematical Reports, 9:1 (2012), 554–560
2010
57.
V. G. Zvyagin, E. S. Baranovskii, “Topological degree of condensing multi-valued perturbations of the $(S)_+$-class maps and its applications”, Journal of Mathematical Sciences, 170:3 (2010), 405–422
2009
58.
E. S. Baranovskii, “Optimal problems for parabolic-type systems with aspheric sets of admissible controls”, Russian Mathematics, 53:12 (2009), 63–67
О модели течения нелинейновязкой жидкости в сетеподобной области Е. С. Барановский International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information
Technologies of Derzhavin Tambov State University October 14, 2020 11:00
4.
On optimal starting control of flows of Kelvin–Voigt fluids E. S. Baranovskii, M. A. Artemov International Conference "Mathematical Theory of Optimal Control"
dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 2, 2017 16:05
2024
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