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@article{DVMG_2023_23_1_a8, author = {Zh. Yu. Saritskaya and R. V. Brizitskii}, title = {Boundary control problems for nonlinear reaction-diffusion-convection model}, journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal}, pages = {106--111}, publisher = {mathdoc}, volume = {23}, number = {1}, year = {2023}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a8/} }
TY - JOUR AU - Zh. Yu. Saritskaya AU - R. V. Brizitskii TI - Boundary control problems for nonlinear reaction-diffusion-convection model JO - Dalʹnevostočnyj matematičeskij žurnal PY - 2023 SP - 106 EP - 111 VL - 23 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a8/ LA - en ID - DVMG_2023_23_1_a8 ER -
%0 Journal Article %A Zh. Yu. Saritskaya %A R. V. Brizitskii %T Boundary control problems for nonlinear reaction-diffusion-convection model %J Dalʹnevostočnyj matematičeskij žurnal %D 2023 %P 106-111 %V 23 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a8/ %G en %F DVMG_2023_23_1_a8
Zh. Yu. Saritskaya; R. V. Brizitskii. Boundary control problems for nonlinear reaction-diffusion-convection model. Dalʹnevostočnyj matematičeskij žurnal, Tome 23 (2023) no. 1, pp. 106-111. http://geodesic.mathdoc.fr/item/DVMG_2023_23_1_a8/
[1] K. Ito K, K. Kunish “Estimation of the convection coefficient in elliptic equations”, Inv. Probl., 14 (1997), 995–1013 | MR
[2] G. V. Alekseev,, “Coefficient inverse extremum problems for stationary heat and mass transfer equations”, Comp. Math. Math. Phys., 47:6 (2007), 1007–1028 | DOI | MR | Zbl
[3] G. V. Alekseev, D. A. Tereshko,, “Extremum problems of boundary control for steady equations of thermal convection”, J. Appl. Mech. Tech. Phys., 51:4 (2010), 510–520 | DOI | MR | Zbl
[4] G. V. Alekseev, R. V. Brizitskii, Zh. Yu. Saritskaya, “Stability estimates of solutions to extreme problems for the nonlinear convection-diffusion-reaction equation”, Sib. J. Industr. Math., 19:2 (2016), 3–16 | MR | Zbl
[5] R. V. Brizitskii, Zh. Yu. Saritskaya, “Boundary control problem for the nonlinear convection-diffusion-reaction equation”, Comp. Math. Math. Phys., 58:12 (2018), 2139–2152 | DOI | MR | Zbl
[6] A. Yu. Chebotarev, A. E. Kovtanyuk, G. V. Grenkin, N. D. Botkin, K.-H. Hoffmann, “Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model”, Appl. Math. Comp., 289 (2016), 371–380 | DOI | MR | Zbl
[7] A. Y. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, “Inhomogeneous steady-state problem of complex heat transfer”, ESAIM: Math. Model. and Num. Anal., 51:6 (2017), 2511–2519 | DOI | MR | Zbl
[8] R. V. Brizitskii, Zh. Yu. Saritskaya, “Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation”, Inverse Ill-Posed Probl., 26:6 (2018), 821–833 | DOI | MR
[9] R. V. Brizitskii, Zh. Yu. Saritskaia, “Multiplicative control problems for nonlinear reaction-diffusion-convection model”, J. Dyn. Control Systems., 27:2 (2021), 379–402 | DOI | MR | Zbl
[10] E.S. Baranovskii, “Optimal boundary control of the Boussinesq approximation for polymeric fluids”, J. Optim. Theory and Appl., 189 (2021), 623–645 | DOI | MR | Zbl
[11] G. V. Alekseev, V. G. Romanov, “One class of nonscattering acoustic shells for a model of anisotropic acoustics”, J. Appl. Industr. Math., 6:1 (2012), 1–5 | DOI | MR | Zbl
[12] Zh.Yu. Saritskaia, “Boundary value problem for nonlinear mass-transfer equations under Dirichlet condition”, Sib. El. Math. Rep., 19:1 (2022), 360–370 | MR | Zbl
[13] S. A. Lorca, J. L. Boldrini, “Stationary solutions for generalized Boussinesq models”, J. Dif. Eq., 124 (1996), 389–406 | DOI | MR | Zbl
[14] A. Bermudez, R. Munoz-Sola, R. Vazquez, “Analysis of two stationary magnetohydrodynamics systems of equations including Joule heating”, J. Math. An. Appl., 368 (2010), 444–468 | DOI | MR | Zbl
[15] M. Ruzicka, V. Shelukhin, M. M. dos Santos, “Steady flows of Cosserat-Bingham fluids”, Math. Meth. Appl. Sc., 40 (2017), 2746–2761 | DOI | MR | Zbl
[16] A. E. Mamontov, D. A. Prokudin, “Solubility of unsteady equations of the three-dimensional motion of two-omponent viscous compressible heat-conducting fluids”, Izv. Math., 85:4 (2021), 755–812 | DOI | MR | Zbl
[17] A. E. Mamontov, D. A. Prokudin, “Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids”, J. Math. Fluid Mech., 21:9 (2019), 1–9 | MR | Zbl
[18] G. V. Alekseev, Optimization in stationary problems of heat and mass transfer and magnetic hydrodynamics., Nauch. Mir., M., 2010, 412 pp.