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Algebra i Analiz, 1995, Volume 7, Issue 5, Pages 101–142 (Mi aa571)  

This article is cited in 19 scientific papers (total in 19 papers)

Research Papers

Classical solvability of the problem of the motion of two viscous incompressible fluids

I. V. Denisova, V. A. Solonnikov
Received: 30.12.1994
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Denisova, V. A. Solonnikov, “Classical solvability of the problem of the motion of two viscous incompressible fluids”, Algebra i Analiz, 7:5 (1995), 101–142; St. Petersburg Math. J., 7:5 (1996), 755–786
Citation in format AMSBIB
\Bibitem{DenSol95}
\by I.~V.~Denisova, V.~A.~Solonnikov
\paper Classical solvability of the problem of the motion of two viscous incompressible fluids
\jour Algebra i Analiz
\yr 1995
\vol 7
\issue 5
\pages 101--142
\mathnet{http://mi.mathnet.ru/aa571}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1365814}
\zmath{https://zbmath.org/?q=an:0859.35093|0846.35105}
\transl
\jour St. Petersburg Math. J.
\yr 1996
\vol 7
\issue 5
\pages 755--786
Linking options:
  • https://www.mathnet.ru/eng/aa571
  • https://www.mathnet.ru/eng/aa/v7/i5/p101
  • This publication is cited in the following 19 articles:
    1. Zhao B., Zhang M., Liang Ch., “Global Well-Posedness For Navier-Stokes-Darcy Equations With the Free Interface”, Int. J. Numer. Anal. Model., 18:5 (2021), 569–619  isi
    2. Shibata Y., “R Boundedness, Maximal Regularity and Free Boundary Problems For the Navier Stokes Equations”: Hieber, M Robinson, JC Shibata, Y, Mathematical Analysis of the Navier-Stokes Equations, Lect. Notes Math., Lecture Notes in Mathematics, 2254, eds. Galdi G., Shibata Y., Springer International Publishing Ag, 2020, 193–462  crossref  isi
    3. Voulis I., Reusken A., “A Time Dependent Stokes Interface Problem: Well-Posedness and Space-Time Finite Element Discretization”, ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer., 52:6 (2019), 2187–2213  crossref  mathscinet  isi  scopus
    4. Saito H., “Global Solvability of the Navier–Stokes Equations With a Free Surface in the Maximal l-P-l-Q Regularity Class”, J. Differ. Equ., 264:3 (2018), 1475–1520  crossref  isi
    5. Wang Ya., Tice I., Kim Ch., “The Viscous Surface-Internal Wave Problem: Global Well-Posedness and Decay”, Arch. Ration. Mech. Anal., 212:1 (2014), 1–92  crossref  isi
    6. Koehne M. Pruss J. Wilke M., “Qualitative Behaviour of Solutions for the Two-Phase Navier–Stokes Equations with Surface Tension”, Math. Ann., 356:2 (2013), 737–792  crossref  isi
    7. Shibata Y., Shimizu S., “On the Maximal l-P-l-Q Regularity of the Stokes Problem with First Order Boundary Condition; Model Problems”, J. Math. Soc. Jpn., 64:2 (2012), 561–626  crossref  isi
    8. I. V. Denisova, V. A. Solonnikov, “Global solvability of a problem governing the motion of two incompressible capillary fluids in a container”, J. Math. Sci. (N. Y.), 185:5 (2012), 668–686  mathnet  crossref  mathscinet
    9. Shibata Y., Shimizu S., “Maximal L-p-L-q regularity for the two-phase Stokes equations; Model problems”, J Differential Equations, 251:2 (2011), 373–419  crossref  isi
    10. Pruess J., Simonett G., “On the Rayleigh-Taylor Instability for the Two-phase Navier–Stokes Equations”, Indiana Univ Math J, 59:6 (2010), 1853–1871  crossref  isi
    11. Pruess J., Simonett G., “On the two-phase Navier–Stokes equations with surface tension”, Interfaces Free Bound, 12:3 (2010), 311–345  isi
    12. Bothe D., Pruess J., “Stability of Equilibria for Two-Phase Flows with Soluble Surfactant”, Quart J Mech Appl Math, 63:2 (2010), 177–199  crossref  isi
    13. I. V. Denisova, K. I. Pileckas, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Solonnikov's jubilee”, J. Math. Sci. (N. Y.), 159:4 (2009), 385–390  mathnet  crossref  zmath
    14. I. V. Denisova, Sh. Nechasova, “The Oberbeck–Boussinesq approximation for the motion of two incompressible fluids”, J. Math. Sci. (N. Y.), 159:4 (2009), 436–451  mathnet  crossref  zmath
    15. Denisova I.V., “Thermocapillary Convection Problem for Two Compressible Immiscible Fluids”, Microgravity Science and Technology, 20:3–4 (2008), 287–291  crossref  isi
    16. J. Math. Sci. (N. Y.), 152:5 (2008), 625–637  mathnet  crossref  elib
    17. Bothe D., Pruss J., Simonett G., “Well-posedness of a two-phase flow with soluble surfactant”, Nonlinear Elliptic and Parabolic Problems - A SPECIAL TRIBUTE TO THE WORK OF HERBERT AMANN, MICHEL CHIPOT AND JOACHIM ESCHER, Progress in Nonlinear Differential Equations and their Applications, 64, 2005, 37–61  isi
    18. J. Math. Sci. (N. Y.), 127:2 (2005), 1849–1868  mathnet  crossref  mathscinet  zmath
    19. Shibata Y., Shimizu S., “On a resolvent estimate of the interface problem for the Stokes system in a bounded domain”, J Differential Equations, 191:2 (2003), 408–444  crossref  isi
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