..

2020, 1, . 108113



:
, , ,

( PDF)

[1] Alexander Yu. Chebotarev and Gleb V. Grenkin and Andrey E. Kovtanyuk and Nikolai D. Botkin and Karl-Heinz Hoffmann, Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions, Communications in Nonlinear Sci- ence and Numerical Simulation, 57, (2018), 290298.
[2] R. Pinnau, Analysis of Optimal Boundary Control for Radiative Heat Transfer Modelled by the SP1-System, Comm. Math. Sci., 5:4, (2007), 951969.
[3] A. E. Kovtanyuk, A. Yu. Chebotarev, N. D. Botkin, K.-H. Hoffmann, The unique solvabil- ity of a complex 3D heat transfer problem, J. Math. Anal. Appl., 409:2, (2014), 808815.
[4] . . , . . , , . . . . ., 54:4, (2014), 711719; Comput. Math. Math. Phys., 54:4, (2014), 719726.
[5] .., .., , , 50:12, (2014), 15901597.
[6] Kovtanyuk Andrey E., Chebotarev Alexander Yu., Botkin Nikolai D., and Hoffmann Karl- Heinz, Theoretical analysis of an optimal control problem of conductive convective radia- tive heat transfer, J. Math. Anal. Appl., 412, (2014), 520528.
[7] Kovtanyuk A.E., Chebotarev A.Yu., Botkin N.D., and Hoffman Karl-Heinz, Unique solv- ability of a steady-state complex heat transfer model,, Commun. Nonlinear Sci. Numer. Simulat., 20, (2015), 776784.
[8] . . , . . , , , 12:11, (2015), 562576.
[9] .. , . . , , . . . ., 56:2, (2016), 275282.
[10] Chebotarev A., Kovtanyuk A., Grenkin G., Botkin N., and Hoffman K.-H.Boundary opti- mal control problem of complex heat transfer model, J. Math. Anal. Appl., 433:2, (2016), 12431260.
[11] A. E. Kovtanyuk, A. Yu. Chebotarev, N. D. Botkin, K.-H. Hoffmann, Optimal boundary control of a steady-state heat transfer model accounting for radiative effects, J. Math. Anal. Appl., 439, (2016), 678689.
[12] Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Gleb V. Grenkin, Nikolai D. Botkin, and Karl Heinz Hoffmann, Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model, Applied Mathematics and Computation, 289:10, (2016), 371380.
[13] A. Yu. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, Inhomogeneous steady-state problem of complex heat transfer, ESAIM Math. Model. Numer. Anal., 51:6, (2017), 25112519.
[14] A. Yu. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, N. D. Botkin, K.-H. Hoffmann, Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange, J. Math. Anal. Appl., 460:2, (2018), 737744.
[15] A. Yu. Chebotarev, R. Pinnau, An inverse problem for a quasi-static approximate model of radiative heat transfer, J. Math. Anal. Appl., 472:1, (2019), 737744.
[16] .. , . . , , . . . . ., 59:8, (2019), 14201430.
[17] Alexander Yu. Chebotarev and Andrey E. Kovtanyuk and Nikolai D. Botkin, Problem of radiation heat exchange with boundary conditions of the Cauchy type, Communications in Nonlinear Science and Numerical Simulation, 75, (2019), 262269.
[18] . . , . . , . . , , . . . . ., 59:7, (2019), 12581263.
[19] A.A. Amosov, Stationary nonlinear nonlocal problem of radiativeconductive heat trans- fer in a system of opaque bodies with properties depending on the radiation frequency, Journal of Mathematical Sciences, 164, (2010), 309344.
[20] A. A. Amosov, Unique Solvability of Stationary Radiative-Conductive Heat Transfer Problem in a System of Semitransparent Bodies, Journal of Mathematical Sciences, 224:5, (2017), 618646.
[21] A.A. Amosov, N. E. Krymov, On a Nonstandard Boundary Value Problem Arising in Homogenization of Complex Heat Transfer Problems, Journal of Mathematical Sciences, 244:3, (2020), 357377.