Sobolev type equations, phase spaces, Wentzell boundary conditions
Subject:
Investigation of Sobolev type equations with Wentzel boundary condition
Main publications:
N.S.Goncharov, “The Barenblatt–Zheltov–Kochina model on the segment with Wentzell boundary conditions”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:2 (2019), 136-142
N.S. Goncharov, “STOCHASTIC BARENBLATT–ZHELTOV–KOCHINA MODEL ON THE INTERVAL WITH WENTZELL BOUNDARY CONDITIONS”, Global and Stochastic Analysis, 7:1 (2020), 11-23
N. S. Goncharov, “Information processing in state analysis for stochastic dynamic and evolutionary systems of Wentzell equations”, J. Comp. Eng. Math., 12:2 (2025), 25–37
2.
N. S. Goncharov, O. G. Kitaeva, G. A. Sviridyuk, “Stabilization of solutions for the Wentzell stochastic dynamical system in a circle and on its boundary”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 17:3 (2025), 5–12
2024
3.
N. S. Goncharov, G. A. Sviridyuk, “Information processing in a numerical study for some stochastic Wentzell systems of the hydrodynamic equations in a ball and on its boundary”, J. Comp. Eng. Math., 11:3 (2024), 3–15
4.
N. S. Goncharov, G. A. Sviridyuk, “Stochastic Wentzel system of free fluid filtration equations on a hemisphere and on its edge”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 16:4 (2024), 24–28
5.
N. S. Goncharov, G. A. Sviridyuk, “Analysis of the Wentzell stochastic system composed of the equations of unpressurised filtration in the hemisphere and at its boundary”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 17:1 (2024), 86–96
N. S. Goncharov, G. A. Sviridyuk, “Analysis of the system of Wentzell equations in the circle and on its boundary”, J. Comp. Eng. Math., 10:1 (2023), 12–20
7.
N. S. Goncharov, G. A. Sviridyuk, “Analysis of the stochastic Wentzell system of fluid filtration equations in a circle and on its boundary”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 15:3 (2023), 15–22
N. S. Goncharov, G. A. Sviridyuk, “An analysis of the Wentzell stochastic system of the equations of moisture filtration in a ball and on its boundary”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:4 (2023), 84–92
N. S. Goncharov, “The Poisson equation with Wentzell boundary conditions in the square”, J. Comp. Eng. Math., 9:3 (2022), 30–38
10.
N. S. Goncharov, “Eigenvalues and eigenfunctions of the Laplace operator in a square and in a circle with a Wentzel boundary condition”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 14:3 (2022), 17–22
11.
G. A. Sviridyuk, N. S. Goncharov, S. A. Zagrebina, “The Showalter-Sidorov and Cauchy problems for the linear Dzekzer equation with Wentzell and Robin boundary conditions in a bounded domain”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 14:1 (2022), 50–63
N. S. Goncharov, “Numerical solution of the Cauchy–Wentzell problem for the dzekzer model in a bounded domain”, J. Comp. Eng. Math., 8:4 (2021), 28–36
13.
N. S. Goncharov, S. A. Zagrebina, G. A. Sviridyuk, “Non-uniqueness of solutions to boundary value problems with Wentzell condition”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:4 (2021), 102–105
N. S. Goncharov, “Model of optimization of average flow speed in a pipe”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:2 (2020), 136–143
2019
15.
N. S. Goncharov, “Numerical research of the Barenblatt – Zheltov – Kochina model on the interval with Wentzell boundary conditions”, J. Comp. Eng. Math., 6:3 (2019), 14–25
16.
N. S. Goncharov, “The Barenblatt–Zheltov–Kochina model on the segment with Wentzell boundary conditions”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:2 (2019), 136–142
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