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Mogilevskii, Ilia Shulimovich

Associate professor
Candidate of physico-mathematical sciences (1982)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 13.12.1951
E-mail:
Keywords: Navier-Stokes equations; free boundary problems; non-Newtonian fluids.
   
Main publications:
  • Mogilevski I. Sh., Solonnikov V. A. On the solvability of a free boundary problem for the Navier–Stokes equations in Holder spaces of functions // Nonlinear Analysis, Scuola Norm. Sup., Pisa, 1991, 257–271.
  • Mogilevski I. Sh. Solvability of a problem of viscous fluid motion with free surface // Math. Model and Meth., 1994, 4 (2), 265–272.

https://www.mathnet.ru/eng/person17634
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/195962

Publications in Math-Net.Ru Citations
2012
1. I. Sh. Mogilevskii, “Exact solutions of a free boundary problem to the plane stationary flow”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, no. 3,  5–14  mathnet  elib
2010
2. I. Sh. Mogilevskii, K. O. Eyallo, “Solution of the Neumann problem by Galerkin method”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2010, no. 17,  59–72  mathnet  elib
2007
3. I. Sh. Mogilevskii, V. I. Ohota, “The finite element method for the problem of a plane stationary free boundary flow”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2007, no. 5,  47–60  mathnet  elib
1997
4. I. Sh. Mogilevskii, V. A. Solonnikov, “Investigation of a problem governing a steady flow of the second grade fluid in the Hölder classes of functions”, Zap. Nauchn. Sem. POMI, 243 (1997),  154–168  mathnet  mathscinet; J. Math. Sci. (New York), 99:1 (2000), 898–906 9
1986
5. I. Sh. Mogilevskii, “On a boundary value problem for the time-dependent Stokes system with general boundary conditions”, Izv. Akad. Nauk SSSR Ser. Mat., 50:1 (1986),  37–66  mathnet  mathscinet  zmath; Math. USSR-Izv., 28:1 (1987), 37–66 2
1983
6. I. Sh. Mogilevskii, “Estimates for the solutions of a general initial-boundary value problem for a linear nonstationary system of Navier–Stokes equations in a bounded domain”, Trudy Mat. Inst. Steklov., 159 (1983),  61–94  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 159 (1984), 61–95 2
1981
7. I. Sh. Mogilevskii, “On the solvability of a general boundary value problem for the linearized non-stationary Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 110 (1981),  105–119  mathnet  mathscinet  zmath; J. Soviet Math., 25:1 (1984), 873–884 1
1979
8. I. Sh. Mogilevskii, “Estimates of solutions of a general initial-boundary value problem for linearized nonstationary Navier–Stokes system in the half-space”, Zap. Nauchn. Sem. LOMI, 84 (1979),  147–173  mathnet  mathscinet  zmath; J. Soviet Math., 21:3 (1983), 356–375 2

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