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 uniqueness solvability of the divergence-curl problem in unbounded domains and energy estimates of solutions”, TMF (to appear)
2023
2.
A. V. Gorshkov, “Special Weber Transform with Nontrivial Kernel”, Math. Notes, 114:2 (2023), 172–186
3.
Gorshkov A.V., “No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain”, J. Math. Fluid Mech., 25 (2023), 47
2022
4.
Gorshkov A.V., “Stable invariant manifolds with application to control problems”, Mathematical Control and Related Fields (MCRF), 12:3 (2022), 695–707
2019
5.
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
6.
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
7.
A. V. Gorshkov, “Invariant manifolds for the burgers equation defined on a semiaxis”, Comput. Math. Math. Phys., 58:1 (2018), 90–101
2016
8.
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
9.
Gorshkov A.V., “Boundary Stabilization of Stokes System in Exterior Domains”, J. Math. Fluid Mech., 18 (2016), 679–697
2012
10.
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
11.
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
2004
12.
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
13.
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
14.
A. V. Gorshkov, “Stabilization of the one-dimensional heat equation on a semibounded rod”, Russian Math. Surveys, 56:2 (2001), 409–410
2023
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