Gorshkov A.V., “Stabilization of linear parabolic equations defined in an exterior of a bounded domain by a boundary control”, Journ. of Dyn. and Control Syst., 10:1 (2004), 1–9
A. V. Gorshkov, “On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions”, Theoret. and Math. Phys., 221:2 (2024), 1799–1812
2.
Gorshkov A.V., “Degenerate fourier transform associated with the sturm-liouville operator”, Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 50:2 (2024), 236-241 , arXiv: arxiv.org/pdf/2304.04851
3.
A. A. Vasil'eva, A. V. Gorshkov, M. P. Zapletin, L. V. Lokutsievskiy, G. G. Magaril-Il'yaev, K. Yu. Osipenko, K. S. Ryutin, A. V. Fursikov, “Main recent research results of the staff of the Chair of General Problems of Control”, Moscow University Mathematics Bulletin, 79:6 (2024), 351–359
2023
4.
A. V. Gorshkov, “Special Weber Transform with Nontrivial Kernel”, Math. Notes, 114:2 (2023), 172–186
5.
Gorshkov A.V., “No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain”, J. Math. Fluid Mech., 25 (2023), 47
Gorshkov A.V., “Stable invariant manifolds with application to control problems”, Mathematical Control and Related Fields (MCRF), 12:3 (2022), 695–707
2019
7.
Gorshkov A.V., “Associated Weber–Orr Transform, Biot–Savart Law and Explicit Form of the Solution of 2D Stokes System in Exterior of the Disc”, J. Math. Fluid Mech., 21 (2019), 41
Gorshkov A.V., “Spektralnoe predstavlenie funktsii rotora vneshnei zadachi Stoksa v tsilindricheskikh oblastyakh”, Trudy NIISI RAN. Matematicheskoe i kompyuternoe modelirovanie slozhnykh sistem: teoreticheskie i prikladnye aspekty, 9:2 (2019), 71–74
2018
9.
A. V. Gorshkov, “Invariant manifolds for the burgers equation defined on a semiaxis”, Comput. Math. Math. Phys., 58:1 (2018), 90–101
2016
10.
A. V. Gorshkov, “Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control”, Moscow University Mathematics Bulletin, 71:5 (2016), 173–184
11.
Gorshkov A.V., “Boundary Stabilization of Stokes System in Exterior Domains”, J. Math. Fluid Mech., 18 (2016), 679–697
A. V. Gorshkov, “Stabilizing a solution of the 2D Navier-Stokes system in the exterior of a bounded domain by means of a control on the boundary”, Sb. Math., 203:9 (2012), 1244–1268
13.
Fursikov A.V., Gorshkov A.V., “Certain questions of feedback stabilization for Navier-Stokes equations”, Evolution Equations and Control Theory (EECT), 1:1 (2012), 109–140
A. V. Gorshkov, “Stabilization of solutions to parabolic equations in an unbounded domain”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 2, 61–64
2003
15.
A. V. Gorshkov, “Stabilization of a semilinear parabolic equation in the exterior of a bounded domain by means of boundary controls”, Sb. Math., 194:10 (2003), 1475–1502
2001
16.
A. V. Gorshkov, “Stabilization of the one-dimensional heat equation on a semibounded rod”, Russian Math. Surveys, 56:2 (2001), 409–410
2024
