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Shilkin, Timofei Nikolaevich
Statistics Math-Net.Ru
Total publications: 16
Scientific articles: 15
Presentations: 4

Number of views:
This page:1011
Abstract pages:4712
Full texts:1548
References:456
Candidate of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person33813
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/600617

Publications in Math-Net.Ru Citations
2018
1. G. A. Seregin, T. N. Shilkin, “Liouville-type theorems for the Navier–Stokes equations”, Uspekhi Mat. Nauk, 73:4(442) (2018),  103–170  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 73:4 (2018), 661–724  isi  scopus 16
2017
2. T. Shilkin, “On the local smoothness of some class of axi-symmetric solutions to the MHD equations”, Zap. Nauchn. Sem. POMI, 459 (2017),  127–148  mathnet; J. Math. Sci. (N. Y.), 236:4 (2019), 461–475
2013
3. V. Vialov, T. Shilkin, “Estimates of solutions to the perturbed Stokes system”, Zap. Nauchn. Sem. POMI, 410 (2013),  5–24  mathnet  mathscinet; J. Math. Sci. (N. Y.), 195:1 (2013), 1–12  scopus 6
2010
4. V. Vyalov, T. Shilkin, “On the boundary regularity of weak solutions to the MHD system”, Zap. Nauchn. Sem. POMI, 385 (2010),  18–53  mathnet; J. Math. Sci. (N. Y.), 178:3 (2011), 243–264  scopus 12
2009
5. N. Filonov, T. Shilkin, “On the Stokes problem with nonzero divergence”, Zap. Nauchn. Sem. POMI, 370 (2009),  184–202  mathnet; J. Math. Sci. (N. Y.), 166:1 (2010), 106–117  scopus 5
2006
6. A. S. Mikhailov, T. N. Shilkin, “$L_{3,\infty}$-solutions to the 3D-Navier–Stokes system in the domain with a curved boundary”, Zap. Nauchn. Sem. POMI, 336 (2006),  133–152  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 143:2 (2007), 2924–2935  scopus 9
7. A. Mahalov, B. Nicolaenko, T. N. Shilkin, “$L_{3,\infty}$-solutions to the MHD equations”, Zap. Nauchn. Sem. POMI, 336 (2006),  112–132  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 143:2 (2007), 2911–2923  scopus 27
2004
8. G. A. Seregin, T. N. Shilkin, V. A. Solonnikov, “Boundary partial regularity for the Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 310 (2004),  158–190  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 132:3 (2006), 339–358 26
2003
9. L. Consiglieri, J.-F. Rodrigues, T. N. Shilkin, “On the Navier–Stokes equations with the energy-dependent nonlocal viscosities”, Zap. Nauchn. Sem. POMI, 306 (2003),  71–91  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 130:4 (2005), 4814–4826 7
2002
10. T. N. Shilkin, “Partial regularity of weak solutions of the stationary $3D$-Boussinesq system”, Zap. Nauchn. Sem. POMI, 288 (2002),  256–270  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4668–4677 4
11. O. A. Ladyzhenskaya, T. N. Shilkin, “On coersitive estimates for solutions to the linear systems of hydrodynamical type”, Zap. Nauchn. Sem. POMI, 288 (2002),  104–133  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4580–4596 9
2001
12. T. N. Shilkin, “Full internal regularity for solutions of the two-dimensional modified Navier–Stokes system”, Algebra i Analiz, 13:1 (2001),  182–221  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:1 (2002), 123–148
2000
13. L. Consiglieri, T. N. Shilkin, “Regularity to stationary weak solutions in the theory of generalized Newtonian fluids with energy transfer”, Zap. Nauchn. Sem. POMI, 271 (2000),  122–150  mathnet  mathscinet  zmath; J. Math. Sci., 115:6 (2000), 2771–2788 11
1997
14. G. A. Seregin, T. N. Shilkin, “Regularity for minimaizers of some variational problems in plasticity theory”, Zap. Nauchn. Sem. POMI, 243 (1997),  270–298  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:1 (2000), 969–988 7
1995
15. G. A. Seregin, T. N. Shilkin, “Some remarks on the mollification of piecewise-linear homeomorphisms”, Zap. Nauchn. Sem. POMI, 221 (1995),  235–242  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:2 (1997), 3428–3433 4
2002
16. A. A. Arkhipova, M. S. Birman, V. S. Buslaev, V. G. Osmolovskii, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, T. N. Shilkin, “To the jubillee of O. A. Ladyzhenskaya”, Zap. Nauchn. Sem. POMI, 288 (2002),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4523–4526 2

Presentations in Math-Net.Ru
1. On the properties of weak solutions to elliptic equations with a drift term
T. N. Shilkin
Joint Mathematical seminar of Saint Petersburg State University and Peking University
May 25, 2023 16:00
2. On elliptic equations with a singular drift from a Morrey space
T. N. Shilkin
V. I. Smirnov Seminar on Mathematical Physics
September 26, 2022 15:00
3. The problem of the global well-posedness of the Navier-Stokes equations: the current state of arts
T. N. Shilkin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
May 19, 2022 13:00   
4. On the regularity of solutions of some boundary problems in mechanics
T. N. Shilkin
Meetings of the St. Petersburg Mathematical Society
November 11, 1997

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