Shaposhnikova Tat'yana Ardolionovna

Publications in Math-Net.Ru

1. Aperiodical isoperimetric planar homogenization with critical diameter: universal non-local strange term for a dynamical unilateral boundary condition
   
   Dokl. RAN. Math. Inf. Proc. Upr., 515 (2024),  18–27
2. Усреднение задачи оптимального управления в критическом случае в перфорированной области с условиями Робина на границе полостей в случае, когда функционал стоимости содержит общего вида интеграл энергии
   
   Tr. Semim. im. I. G. Petrovskogo, 33 (2023),  161–173
3. Homogenization of a parabolic equation in a perforated domain with a unilateral dynamic boundary condition: critical case
   
   CMFD, 68:4 (2022),  671–685
4. On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape
   
   Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022),  11–18
5. Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case
   
   Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  59–64
6. A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: the critical case
   
   Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020),  23–28
7. Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters
   
   Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  191–219
8. Scientific heritage of Vladimir Mikhailovich Millionshchikov
   
   Tr. Semim. im. I. G. Petrovskogo, 30 (2014),  5–41
9. Averaging of boundary-value problems for the Laplace operator in perforated domains with a nonlinear boundary condition of the third type on the boundary of cavities
   
   CMFD, 39 (2011),  173–184
10. Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain – the influence of the scaling on the nonlinearity in the effective sink-source term
    
    Tr. Semim. im. I. G. Petrovskogo, 28 (2011),  161–181
11. Homogenization of the Variational Inequality Corresponding to a Problem with Rapidly Varying Boundary Conditions
    
    Mat. Zametki, 82:4 (2007),  538–549
12. Homogenization of some variational inequalities with restrictions on subsets $\varepsilon$-periodically located along the domain boundary
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, no. 2,  26–37
13. On the homogenization of variational inequalities in perforated domains with arbitrary perforation density
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 1,  8–16
14. Homogenizaton of a Nonhomogeneous Signorini Problem for the Poisson Equation in a Periodically Perforated Domain
    
    Differ. Uravn., 39:3 (2003),  359–366
15. Averaging of a problem with an obstacle
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 5,  8–17
16. Homogenization of the Neumann Problem in a Domain a Part of Which Is a Set of Channels
    
    Differ. Uravn., 37:9 (2001),  1250–1257
17. Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length
    
    Mat. Sb., 192:10 (2001),  131–160
18. Homogenization of boundary value problems in domains with rapidly oscillating nonperiodic boundary
    
    Differ. Uravn., 36:6 (2000),  754–764
19. On the averaging of boundary value problems in punctured domains of nonperiodic structure
    
    Differ. Uravn., 34:5 (1998),  647–661
20. On averaging of elliptic problems in perforated domains with non-periodic structure
    
    Uspekhi Mat. Nauk, 52:6(318) (1997),  179–180
21. On boundary-value problems in domains perforated along manifolds
    
    Uspekhi Mat. Nauk, 52:4(316) (1997),  205–206
22. On the Dirichlet problem for the biharmonic equation in a domain punctured along manifolds of small dimension
    
    Dokl. Akad. Nauk, 350:6 (1996),  742–745
23. On the averaging of the biharmonic equation in a domain punctured along manifolds of small dimension
    
    Differ. Uravn., 32:6 (1996),  830–842
24. On the averaging of the Laplace operator in a domain, a part of which contains periodically located channels with Neumann conditions on their boundary
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 5,  14–27
25. On an averaging problem in a partially punctured domain with a boundary condition of mixed type on the boundary of the holes, containing a small parameter
    
    Differ. Uravn., 31:7 (1995),  1150–1160
26. Averaging of solutions of the Dirichlet problem in a partially punctured domain of general form with nonperiodic structure
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 2,  49–55
27. On a method for constructing approximations in the averaging problem in a partially punctured domain
    
    Differ. Uravn., 30:11 (1994),  1994–2000
28. Averaging of the mixed problem for a parabolic equation in a perforated domain
    
    Uspekhi Mat. Nauk, 41:4(250) (1986),  223–224
29. Strong $G$-convergence of a sequence of systems of equations of elasticity theory
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 5,  29–33


30. К 70-летию Валерия Васильевича Козлова
    
    Tr. Semim. im. I. G. Petrovskogo, 33 (2023),  3–7
31. Vasilii Vasilievich Zhikov
    
    Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  5–7
32. Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010
    
    CMFD, 39 (2011),  5–10
33. Olga Arsenjevna Oleinik
    
    Tr. Semim. im. I. G. Petrovskogo, 28 (2011),  5–7
34. Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth
    
    Tr. Semim. im. I. G. Petrovskogo, 26 (2007),  5–28
35. Vladimir Aleksandrovich Kondrat'ev
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5,  77–79
36. Ol'ga Arsen'evna Oleinik (obituary)
    
    Uspekhi Mat. Nauk, 58:1(349) (2003),  165–174
37. Anatolii Sergeevich Kalashnikov (obituary)
    
    Uspekhi Mat. Nauk, 55:5(335) (2000),  161–168