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Estimates in C 2l,l for solution of a boundary value problem for the nonstationary stokes system with a surface tension in boundary condition

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Book cover The Navier-Stokes Equations II — Theory and Numerical Methods

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References

  1. I.Sh. Mogilevskii, V.A. Solonnikov, On the solvatibility of a free boundary problem for the Navier-Stokes equations in the Hölder space of functions. Nonlinear Analysis, Pisa, 1991, p.257–271.

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  2. V A. Solonnikov, Estimates of solutions of an initial-boundary value problem for linear nonstationary system of the Navier-Stokes equations. Zap. nauchn. sem. LOMI, 1976, v. 59, p. 178–254 (in Russian)=Journ. Sov. Math. 1978, v. 10, p. 336–393.

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  3. V.A. Solonnikov, Estimates of solutions of a nonstationary linearized Navier-Stokes system of equations. Proc. Steklov Math. Inst. v. 70, 1964, p. 213–317. (in Russian).

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  4. O.A. Ladyzhenskaja, N.N. Uraltseva, Linear and quasilinear equations of elliptic type. Moscow, 1973 (in Russian).

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  5. I.Sh. Mogilevskij, V.A. Solonnikov, Solvability of a non-coercive initial-boundary value problem for the Stokes equation in Hölder spaces (the case of half-space). Zeitschrift für Analysis und ihre Anwendungen, 1989, Bd. 8, Hf. 4, p. 330–347 (in Russian).

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  6. O.A. Ladyzhenskaja, V.A. Solonnikov, N.N. Uraltseva, Linear and quasilinear equations of parabolic type. Moskow, 1967 (in Russian).

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  7. V.A. Solonnikov, Unsteady motion of a finite mass of fluid bounded by a free surface. Zap. nauchn.semin. LOMI, 1986, v. 152, p. 137–157, (in Russian)=Journ. Sov. Math., 1988, v. 40, N. 5, p.672–686.

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Authors and Affiliations

  1. Department of mathematics, Tver University, Zheliabova str.33, 170000, Tver, Russia

    Il'ia Mogilevskii

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  1. Il'ia Mogilevskii
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John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

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© 1992 Springer-Verlag

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Mogilevskii, I. (1992). Estimates in C 2l,l for solution of a boundary value problem for the nonstationary stokes system with a surface tension in boundary condition. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations II — Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090348

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  • DOI: https://doi.org/10.1007/BFb0090348

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56261-0

  • Online ISBN: 978-3-540-47498-2

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