Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Pastukhova, Svetlana Evgenievna
Professor
Doctor of physico-mathematical sciences (2005)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords: homogenization, singular structures, Korn type inequality, unilateral boundary conditions, popous media, oblique derivative, spectral theory of boundary problems.

Subject:

The homogenization of different boundary problems for elliptic scalar and vector operators (linear and nonlinear) in perforated domains was prooved. Among them there are problems with unilateral boundary condition, problems of porous media theory, elasticity theory problems on singular and thin structures. The well-posedness of hyperbolic boundary problems with oblique derivative was investigated.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1978 (department of differential equations). Ph.D. thesis was defended in 1986. A list of my works contains more than 30 titles.
   
Main publications:
  • Pastukhova S. E. Usrednenie smeshannoi zadachi s usloviem Sinorini dlya ellipticheskogo operatora v perforirovannoi oblasti // Matem. sbornik, 2001, 192, # 2, 87–102.
  • Pastukhova S. E. Usrednenie nelineinykh zadach teorii uprugosti na singulyarnykh periodicheskikh strukturakh // Doklady RAN, 2002, 382, # 1, 7–11.
  • Pastukhova S. E. Ob usrednenii variatsionnogo neravenstva dlya uprugogo tela s periodicheski raspolozhennymi treschinami // Matem. sbornik, 2000, 191, # 2, 149–164.

https://www.mathnet.ru/eng/person8320
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/212672

Publications in Math-Net.Ru Citations
2024
1. S. E. Pastukhova, “Error estimates taking account of correctors in homogenization of elliptic operators”, Mat. Sb., 215:7 (2024),  74–95  mathnet  mathscinet  zmath; Sb. Math., 215:7 (2024), 932–952  isi  scopus 1
2023
2. S. E. Pastukhova, “$L^2$-estimates of error in homogenization of parabolic equations with correctors taken into account”, CMFD, 69:1 (2023),  134–151  mathnet
3. S. E. Pastukhova, “On Operator Estimates of the Homogenization of Higher-Order Elliptic Systems”, Mat. Zametki, 114:3 (2023),  370–389  mathnet  mathscinet; Math. Notes, 114:3 (2023), 322–338  scopus 3
2022
4. S. E. Pastukhova, “Improved $L^2$-approximation of resolvents in homogenization of fourth order operators”, Algebra i Analiz, 34:4 (2022),  74–106  mathnet  mathscinet; St. Petersburg Math. J., 34:4 (2023), 611–634 6
5. S. E. Pastukhova, “Improved resolvent approximations in homogenization of second order operators with periodic coefficients”, Funktsional. Anal. i Prilozhen., 56:4 (2022),  93–104  mathnet; Funct. Anal. Appl., 56:4 (2022), 310–319  scopus 4
2021
6. S. E. Pastukhova, “Approximation of resolvents in homogenization of fourth-order elliptic operators”, Mat. Sb., 212:1 (2021),  119–142  mathnet  mathscinet  zmath  elib; Sb. Math., 212:1 (2021), 111–134  isi  scopus 18
2020
7. S. E. Pastukhova, “A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions”, Algebra i Analiz, 32:1 (2020),  51–77  mathnet  elib; St. Petersburg Math. J., 32:1 (2021), 39–57  isi  scopus 1
8. S. E. Pastukhova, “Resolvent approximations in $L^2$-norm for elliptic operators acting in a perforated space”, CMFD, 66:2 (2020),  314–334  mathnet 13
2019
9. S. E. Pastukhova, D. A. Yakubovich, “Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian”, Mat. Sb., 210:1 (2019),  155–174  mathnet  mathscinet  zmath  elib; Sb. Math., 210:1 (2019), 145–164  isi  scopus 2
2018
10. V. V. Zhikov, S. E. Pastukhova, “Homogenization and two-scale convergence in Sobolev space with oscillating exponent”, Algebra i Analiz, 30:2 (2018),  114–144  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:2 (2019), 231–251  isi  scopus 3
2017
11. S. E. Pastukhova, R. N. Tikhomirov, “Operator-type estimates in homogenization of elliptic equations with lower terms”, Algebra i Analiz, 29:5 (2017),  179–207  mathnet  mathscinet  elib; St. Petersburg Math. J., 29:5 (2018), 841–861  isi  scopus 8
12. V. V. Zhikov, S. E. Pastukhova, “Large time asymptotics of fundamental solution for the diffusion equation in periodic medium and its application to estimates in the theory of averaging”, CMFD, 63:2 (2017),  223–246  mathnet  mathscinet
2016
13. S. E. Pastukhova, “Homogenization estimates of operator type for fourth order elliptic equations”, Algebra i Analiz, 28:2 (2016),  204–226  mathnet  mathscinet  elib; St. Petersburg Math. J., 28:2 (2017), 273–289  isi  scopus 32
14. V. V. Zhikov, S. E. Pastukhova, “On the convergence of bloch eigenfunctions in homogenization problems”, Funktsional. Anal. i Prilozhen., 50:3 (2016),  47–65  mathnet  mathscinet  elib; Funct. Anal. Appl., 50:3 (2016), 204–218  isi  scopus 3
15. V. V. Zhikov, S. E. Pastukhova, “Operator estimates in homogenization theory”, Uspekhi Mat. Nauk, 71:3(429) (2016),  27–122  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 71:3 (2016), 417–511  isi  scopus 98
16. S. E. Pastukhova, “The Neumann problem for elliptic equations with multiscale coefficients: operator estimates for homogenization”, Mat. Sb., 207:3 (2016),  111–136  mathnet  mathscinet  zmath  elib; Sb. Math., 207:3 (2016), 418–443  isi  scopus 4
2014
17. M. M. Sirazhudinov, S. E. Pastukhova, S. P. Dgamaludinova, “Asymptotic expansions for the system of Beltrami equations”, Daghestan Electronic Mathematical Reports, 2014, no. 1,  79–83  mathnet  elib
18. S. E. Pastukhova, “Approximation of the Exponential of a Diffusion Operator with Multiscale Coefficients”, Funktsional. Anal. i Prilozhen., 48:3 (2014),  34–51  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 48:3 (2014), 183–197  isi  elib  scopus 12
19. V. V. Zhikov, S. E. Pastukhova, “On integral representation of $\Gamma$-limit functionals”, Fundam. Prikl. Mat., 19:4 (2014),  101–120  mathnet  mathscinet; J. Math. Sci., 217:6 (2016), 736–750
20. V. V. Zhikov, S. E. Pastukhova, “Uniform convexity and variational convergence”, Tr. Mosk. Mat. Obs., 75:2 (2014),  245–276  mathnet  elib; Trans. Moscow Math. Soc., 75 (2014), 205–231  scopus 1
21. V. V. Zhikov, S. E. Pastukhova, “The $\Gamma$-convergence of oscillating integrands with nonstandard coercivity and growth conditions”, Mat. Sb., 205:4 (2014),  33–68  mathnet  mathscinet  zmath  elib; Sb. Math., 205:4 (2014), 488–521  isi  scopus 3
2013
22. S. E. Pastukhova, “Approximations of the Resolvent for a Non–Self-Adjoint Diffusion Operator with Rapidly Oscillating Coefficients”, Mat. Zametki, 94:1 (2013),  130–150  mathnet  mathscinet  zmath  elib; Math. Notes, 94:1 (2013), 127–145  isi  elib  scopus 10
23. S. E. Pastukhova, “Approximations of the operator exponential in a periodic diffusion problem with drift”, Mat. Sb., 204:2 (2013),  133–160  mathnet  mathscinet  zmath  elib; Sb. Math., 204:2 (2013), 280–306  isi  scopus 8
2012
24. V. V. Zhikov, S. E. Pastukhova, “On the Navier–Stokes equations: Existence theorems and energy equalities”, Trudy Mat. Inst. Steklova, 278 (2012),  75–95  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 278 (2012), 67–87  isi  elib  scopus 3
2011
25. V. V. Zhikov, S. E. Pastukhova, “Homogenization of Monotone Operators Under Conditions of Coercitivity and Growth of Variable Order”, Mat. Zametki, 90:1 (2011),  53–69  mathnet  mathscinet; Math. Notes, 90:1 (2011), 48–63  isi  scopus 12
26. S. E. Pastukhova, A. S. Khripunova, “Several versions of the compensated compactness principle”, Mat. Sb., 202:9 (2011),  135–160  mathnet  mathscinet  zmath  elib; Sb. Math., 202:9 (2011), 1387–1412  isi  scopus 3
2010
27. V. V. Zhikov, S. E. Pastukhova, “On the Property of Higher Integrability for Parabolic Systems of Variable Order of Nonlinearity”, Mat. Zametki, 87:2 (2010),  179–200  mathnet  mathscinet  zmath; Math. Notes, 87:2 (2010), 169–188  isi  scopus 28
28. V. V. Zhikov, S. E. Pastukhova, “Lemmas on compensated compactness in elliptic and parabolic equations”, Trudy Mat. Inst. Steklova, 270 (2010),  110–137  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 270 (2010), 104–131  isi  scopus 11
2009
29. S. E. Pastukhova, R. N. Tikhomirov, “Estimates of locally periodic and reiterated homogenization for parabolic equations”, Dokl. Akad. Nauk, 428:2 (2009),  166–170  mathnet  mathscinet; Dokl. Math., 80:2 (2009), 674–678  isi  scopus 6
2008
30. V. V. Zhikov, S. E. Pastukhova, “Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent”, Mat. Sb., 199:12 (2008),  19–52  mathnet  mathscinet  zmath  elib; Sb. Math., 199:12 (2008), 1751–1782  isi  elib  scopus 47
31. V. V. Zhikov, S. E. Pastukhova, “Homogenization of degenerate elliptic equations”, Sibirsk. Mat. Zh., 49:1 (2008),  101–124  mathnet  mathscinet  zmath  elib; Siberian Math. J., 49:1 (2008), 80–101  isi  elib  scopus 44
32. S. E. Pastukhova, “Operator Estimates in Nonlinear Problems of Reiterated Homogenization”, Trudy Mat. Inst. Steklova, 261 (2008),  220–233  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 261 (2008), 214–228  isi  elib  scopus 23
2007
33. V. V. Zhikov, S. E. Pastukhova, “On the Trotter–Kato Theorem in a Variable Space”, Funktsional. Anal. i Prilozhen., 41:4 (2007),  22–29  mathnet  mathscinet  zmath; Funct. Anal. Appl., 41:4 (2007), 264–270  isi  scopus 10
34. S. E. Pastukhova, S. V. Tikhomirova, “Elliptic Equation with Nonsymmetric Matrix: Averaging of the “Variational Solutions””, Mat. Zametki, 81:4 (2007),  631–635  mathnet  mathscinet  zmath  elib; Math. Notes, 81:4 (2007), 560–565  isi  scopus 10
35. S. E. Pastukhova, “Degenerate equations of monotone type: Lavrent'ev phenomenon and attainability problems”, Mat. Sb., 198:10 (2007),  89–118  mathnet  mathscinet  zmath  elib; Sb. Math., 198:10 (2007), 1465–1494  isi  elib  scopus 19
2006
36. V. V. Zhikov, S. E. Pastukhova, “Derivation of the limit equations of elasticity theory on thin nets”, Tr. Semim. im. I. G. Petrovskogo, 25 (2006),  55–97  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 135:1 (2006), 2637–2665  scopus 2
2005
37. S. E. Pastukhova, “Homogenization of elasticity problems on periodic composite structures”, Mat. Sb., 196:7 (2005),  101–142  mathnet  mathscinet  zmath  elib; Sb. Math., 196:7 (2005), 1033–1073  isi  elib  scopus 5
38. V. V. Zhikov, S. E. Pastukhova, “Homogenized Tensor on Networks”, Trudy Mat. Inst. Steklova, 250 (2005),  105–111  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 250 (2005), 95–101 3
2004
39. S. E. Pastukhova, “About homogenization of elasticity problems on combined structures”, Zap. Nauchn. Sem. POMI, 310 (2004),  114–144  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 132:3 (2006), 313–330  elib 2
2003
40. V. V. Zhikov, S. E. Pastukhova, “Homogenization for elasticity problems on periodic networks of critical thickness”, Mat. Sb., 194:5 (2003),  61–96  mathnet  mathscinet  zmath  elib; Sb. Math., 194:5 (2003), 697–732  isi  scopus 45
2001
41. S. E. Pastukhova, “The Oscillating Boundary Phenomenon in the Homogenization of a Climatization Problem”, Differ. Uravn., 37:9 (2001),  1216–1222  mathnet  mathscinet; Differ. Equ., 37:9 (2001), 1276–1283 7
42. S. E. Pastukhova, “Spectral Asymptotics for a Steady-State Heat Conduction Problem in a Perforated Domain”, Mat. Zametki, 69:4 (2001),  600–612  mathnet  mathscinet  zmath  elib; Math. Notes, 69:4 (2001), 546–558  isi 4
43. S. E. Pastukhova, “Homogenization of a mixed problem with Signorini condition for an elliptic operator in a perforated domain”, Mat. Sb., 192:2 (2001),  87–102  mathnet  mathscinet  zmath; Sb. Math., 192:2 (2001), 245–260  isi  scopus 16
2000
44. S. E. Pastukhova, “Homogenization of the stationary Stokes system in a perforated domain with a mixed condition on the boundary of cavities”, Differ. Uravn., 36:5 (2000),  679–688  mathnet  mathscinet; Differ. Equ., 36:5 (2000), 755–766 3
45. S. E. Pastukhova, “On homogenization of a variational inequality for an elastic body with periodically distributed fissures”, Mat. Sb., 191:2 (2000),  149–164  mathnet  mathscinet  zmath; Sb. Math., 191:2 (2000), 291–306  isi  scopus 7
1998
46. S. E. Pastukhova, “Substantiation of the Darcy law for a porous medium with condition of partial adhesion”, Mat. Sb., 189:12 (1998),  135–153  mathnet  mathscinet  zmath  elib; Sb. Math., 189:12 (1998), 1871–1888  isi  scopus 2
1996
47. S. E. Pastukhova, “On the character of the damping of displacements in an elastic periodically perforated body with given deformation of the outer boundary under elastic constraints on the boundary of the cavities”, Differ. Uravn., 32:10 (1996),  1401–1409  mathnet  mathscinet; Differ. Equ., 32:10 (1996), 1398–1406 1
48. S. E. Pastukhova, “On the nature of the temperature distribution in a perforated body with given values on the external boundary under conditions of heat transfer by Newton's law on the boundary of the cavities”, Mat. Sb., 187:6 (1996),  85–96  mathnet  mathscinet  zmath; Sb. Math., 187:6 (1996), 869–880  isi  scopus 6
1995
49. S. E. Pastukhova, “On the error of averaging for the Steklov problem in a punctured domain”, Differ. Uravn., 31:6 (1995),  1042–1054  mathnet  mathscinet; Differ. Equ., 31:6 (1995), 975–986 3
50. S. E. Pastukhova, “Tartar's method of compensated compactness in averaging the spectrum of a mixed problem for an elliptic equation in a perforated domain with third boundary condition”, Mat. Sb., 186:5 (1995),  127–144  mathnet  mathscinet  zmath; Sb. Math., 186:5 (1995), 753–770  isi 7
1994
51. S. E. Pastukhova, “The averaging of a mixed problem with an oblique derivative for an elliptic operator in a perforated domain”, Differ. Uravn., 30:8 (1994),  1445–1456  mathnet  mathscinet; Differ. Equ., 30:8 (1994), 1341–1351 1
1993
52. S. E. Pastukhova, “The well-posedness of a mixed problem with an oblique derivative for the wave operator”, Differ. Uravn., 29:8 (1993),  1415–1424  mathnet  mathscinet; Differ. Equ., 29:8 (1993), 1227–1234
1990
53. S. E. Pastukhova, “On the continuation of microlocal smoothness of solutions of boundary value problems for a second-order hyperbolic equation”, Differ. Uravn., 26:4 (1990),  692–699  mathnet  mathscinet  zmath; Differ. Equ., 26:4 (1990), 511–516
54. S. E. Pastukhova, “On the loss of smoothness of the solution of a mixed problem with an oblique derivative for the wave operator”, Differ. Uravn., 26:3 (1990),  478–488  mathnet  mathscinet; Differ. Equ., 26:3 (1990), 356–363
1984
55. S. E. Pastukhova, “Some questions concerning the well-posedness of a mixed problem with an oblique derivative for a strictly hyperbolic operator”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 4,  38–42  mathnet  mathscinet  zmath
1981
56. S. E. Pastukhova, “On the well-posedness of the mixed problem for a strictly hyperbolic operator with a singular directional derivative”, Uspekhi Mat. Nauk, 36:6(222) (1981),  223–224  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:6 (1981), 193–194  isi
57. S. E. Pastukhova, “On the well-posedness of a mixed boundary-value problem for a hyperbolic equation”, Uspekhi Mat. Nauk, 36:5(221) (1981),  187–188  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:5 (1981), 171–172  isi
1979
58. S. E. Pastukhova, “Averaging of boundary problems in perforated domains”, Uspekhi Mat. Nauk, 34:4(208) (1979),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:4 (1979), 180–181 3
2018
59. Yu. A. Alkhutov, I. V. Astashova, V. I. Bogachev, V. N. Denisov, V. V. Kozlov, S. E. Pastukhova, A. L. Piatnitski, V. A. Sadovnichii, A. M. Stepin, A. S. Shamaev, A. A. Shkalikov, “Vasilii Vasil'evich Zhikov (obituary)”, Uspekhi Mat. Nauk, 73:3(441) (2018),  169–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 73:3 (2018), 533–542  isi

Presentations in Math-Net.Ru
1. Óëó÷øåííûå îïåðàòîðíûå îöåíêè â ïåðèîäè÷åñêîì óñðåäíåíèè
S. E. Pastukhova
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 17, 2023 16:00   
2. Improved $L^2$-approximations in homogenization of parabolic equations with account of correctors
S. E. Pastukhova
One-Parameter Semigroups of Operators (OPSO 2023)
February 27, 2023 13:15   
3. Resolvent approximations in homogenization of high order operators
S. E. Pastukhova
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 6, 2021 13:00   
4. Large-time asymptotics of fundamental solutions for diffusion equations in periodic media
S. E. Pastukhova
One-Parameter Semigroups of Operators (OPSO) 2021
April 9, 2021 12:15   
5. Homogenization of operators with quasiperiodic coefficients
S. E. Pastukhova
International Conference on Mathematical Control Theory and Mechanics
July 5, 2015 10:40
6. Homogenization of Monotone Operators under Non-standard Coercivity and Growth Conditions
S. E. Pastukhova
International Conference on Differential Equations and Dynamical Systems
July 5, 2014 09:00

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024