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Bogovskii, Mikhail Evgen'evich

Statistics Math-Net.Ru
Total publications: 15
Scientific articles: 13
Presentations: 2

Number of views:
This page:1326
Abstract pages:3883
Full texts:1579
References:171
Associate professor
Candidate of physico-mathematical sciences (1984)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 29.01.1952
E-mail:
Keywords: Navier–Stokes equations, elliptic BVPs, $L_p$-theory, weak and strong solutions, iterative methods, nonsmooth coefficients, nonsmooth boundaries, noncompact boundaries, analytical-numerical methods.
UDC: 519.95
MSC: 35D, 35J, 35Q, 65M, 65N, 76D

Subject:

Partial differential equations

   
Main publications:
  1. Bogovskii M.E., “Solutions of some problems of vector analysis, associated with the operators $\mathrm{div}$ and $\mathrm{grad}$”, Trudy Seminara S. L. Soboleva, 1980, no. 1, 5–40 (Russian)
  2. Maslennikova, V. N.; Bogovskii, M. E., “Approximation of potential and solenoidal vector fields”, Siberian Mathematical Journal, 24 (1983), 768–787
  3. Maslennikova, V. N.; Bogovskii, M. E., “Approximation of solenoidal and potential vector fields in Sobolev spaces and problems of mathematical physics”, Partial differential equations (Novosibirsk, 1983), “Nauka” Sibirsk. Otdel., Novosibirsk, 1986, 129–137
  4. Maslennikova V. N., Bogovskii M. E., “Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries”, Rendiconti del Seminario Matematico e Fisico di Milano, 56 (1986), 125–138
  5. Bogovskii M. E., Analytical-numerical methods for the Navier-Stokes equations, Textbook, PFUR, Moscow, 2008, 231 pp. (Russian)

https://www.mathnet.ru/eng/person11169
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/194778
https://elibrary.ru/author_items.asp?authorid=5579
https://www.scopus.com/authid/detail.url?authorId=6506824821
https://www.researchgate.net/profile/Mikhail-Bogovskii

Publications in Math-Net.Ru Citations
2021
1. M. E. Bogovskii, “Approximation of weak solutions of the Laplace equation by harmonic polynomials”, Zh. Vychisl. Mat. Mat. Fiz., 61:2 (2021),  217–223  mathnet  elib; Comput. Math. Math. Phys., 61:2 (2021), 205–211  isi  scopus
2010
2. M. E. Bogovskii, L. Mantello, H. Yashima-Fujita, “Solution to the stationary problem of glacier dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 50:10 (2010),  1827–1839  mathnet; Comput. Math. Math. Phys., 50:10 (2010), 1734–1745  isi  scopus
1994
3. V. N. Maslennikova, M. E. Bogovskii, “The maximum principle for the equation of the continuity of a compressible medium”, Dokl. Akad. Nauk, 339:4 (1994),  446–450  mathnet  mathscinet  zmath; Dokl. Math., 50:3 (1995), 451–457
4. V. N. Maslennikova, M. E. Bogovskii, “A mathematical model of the hurricane dynamics”, Matem. Mod., 6:9 (1994),  26–32  mathnet  mathscinet  zmath 1
1991
5. M. E. Bogovskii, V. N. Maslennikova, Zh. A. Uèrdian, “A boundary value problem with discontinuous boundary conditions in ocean dynamics under the action of a hurricane”, Dokl. Akad. Nauk SSSR, 318:5 (1991),  1037–1041  mathnet  mathscinet  zmath; Dokl. Math., 43:3 (1991), 816–820
1986
6. M. E. Bogovskii, “Decomposition of $L_p({\Omega};\mathbf{R}^n)$ into the direct sum of subspaces of solenoidal and potential vector fields”, Dokl. Akad. Nauk SSSR, 286:4 (1986),  781–786  mathnet  mathscinet  zmath
1983
7. V. N. Maslennikova, M. E. Bogovskii, “Approximation of potential and solenoidal vector fields”, Sibirsk. Mat. Zh., 24:5 (1983),  149–171  mathnet  mathscinet  zmath; Siberian Math. J., 24:5 (1983), 768–787  isi 10
1981
8. V. N. Maslennikova, M. E. Bogovskii, “Sobolev spaces of solenoidal vector fields”, Sibirsk. Mat. Zh., 22:3 (1981),  91–118  mathnet  mathscinet  zmath; Siberian Math. J., 22:3 (1981), 399–420  isi 7
1980
9. M. E. Bogovskii, “On the $L_p$-theory of the Navier–Stokes system for unbounded domains with noncompact boundaries”, Dokl. Akad. Nauk SSSR, 255:6 (1980),  1296–1301  mathnet  mathscinet  zmath
1979
10. M. E. Bogovskii, “Solution of the first boundary value problem for the equation of continuity of an incompressible medium”, Dokl. Akad. Nauk SSSR, 248:5 (1979),  1037–1040  mathnet  mathscinet  zmath 9
1978
11. V. N. Maslennikova, M. E. Bogovskii, “The density of compactly supported solenoidal vector fields”, Sibirsk. Mat. Zh., 19:5 (1978),  1092–1108  mathnet  mathscinet  zmath; Siberian Math. J., 19:5 (1978), 771–783  isi 1
1977
12. V. N. Maslennikova, M. E. Bogovskii, “Sobolev systems in the case of two space variables”, Sibirsk. Mat. Zh., 18:5 (1977),  1088–1110  mathnet  mathscinet  zmath; Siberian Math. J., 18:5 (1977), 770–787  isi 2
1975
13. V. N. Maslennikova, M. E. Bogovskii, “Sobolev systems in two spatial variables”, Dokl. Akad. Nauk SSSR, 221:3 (1975),  563–566  mathnet  mathscinet  zmath 1

2001
14. A. V. Arutyunov, N. S. Bakhvalov, M. E. Bogovskii, V. S. Vladimirov, A. A. Dezin, V. A. Il'in, E. F. Mishchenko, V. P. Maslov, S. M. Nikol'skii, S. V. Uspenskii, V. M. Filippov, “Vera Nikolaevna Maslennikova (obituary)”, Uspekhi Mat. Nauk, 56:4(340) (2001),  129–132  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:4 (2001), 739–743  isi 1
1987
15. M. E. Bogovskii, V. I. Burenkov, A. A. Dezin, V. P. Maslov, S. M. Nikol'skii, I. M. Petunin, S. L. Sobolev, “Vera Nikolaevna Maslennikova (on her sixtieth birthday)”, Uspekhi Mat. Nauk, 42:4(256) (1987),  215–216  mathnet  mathscinet; Russian Math. Surveys, 42:4 (1987), 187–189  isi 2

Presentations in Math-Net.Ru
1. On the Cauchy problem for 3D Navier-Stokes equations with a special type of pressure
M. E. Bogovskii
Seminar on nonlinear problems of partial differential equations and mathematical physics
April 5, 2022 18:00   
2. О критериях глобальной сходимости некоторых итерационных методов для задачи Навье–Стокса
M. E. Bogovskii
International Conference on Applied Mathematics and Computer Science dedicated to the 60th Anniversary of Dorodnicyn Computing Centre of RAS
December 10, 2015 15:15   

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