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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2001, Volume 282, Pages 216–243 (Mi znsl1515)

Generalized energy estimate in a free boundary problem for viscous incompressible fluid
V. A. Solonnikov

This publication is cited in the following articles:
  1. I. V. Denisova, “Ob ustoichivosti vrascheniya dvukhfaznoi zhidkosti so svobodnoi poverkhnostyu”, Kraevye zadachi matematicheskoi fiziki i smezhnye voprosy teorii funktsii. 52, Zap. nauchn. sem. POMI, 550, POMI, SPb., 2026, 31–70  mathnet
  2. G. I. Bizhanova, I. V. Denisova, A. I. Nazarov, K. I. Pileckas, V. V. Pukhnachev, S. I. Repin, J.-F. Rodrigues, G. A. Seregin, N. N. Uraltseva, E. V. Frolova, “On the 90th birthday of Vsevolod Alekseevich Solonnikov”, Russian Math. Surveys, 78:5 (2023), 971–981  mathnet  crossref  crossref  mathscinet  adsnasa  isi
  3. Keiichi Watanabe, “Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension”, Advances in Nonlinear Analysis, 12:1 (2023)  crossref
  4. Denisova V I. Solonnikov V.A., “Rotation Problem For a Two-Phase Drop”, J. Math. Fluid Mech., 24:2 (2022), 40  crossref  mathscinet  isi
  5. I. V. Denisova, V. A. Solonnikov, Advances in Mathematical Fluid Mechanics, Motion of a Drop in an Incompressible Fluid, 2021, 155  crossref
  6. I. V. Denisova, V. A. Solonnikov, Advances in Mathematical Fluid Mechanics, Motion of a Drop in an Incompressible Fluid, 2021, 285  crossref
  7. J. Math. Sci. (N. Y.), 283:5 (2024), 756–780  mathnet  crossref
  8. St. Petersburg Math. J., 32:1 (2021), 91–137  mathnet  crossref  isi  elib
  9. Denisova I.V. Solonnikov V.A., “L-2-Theory For Two Incompressible Fluids Separated By a Free Interface”, Topol. Methods Nonlinear Anal., 52:1 (2018), 213–238  crossref  mathscinet  isi  scopus
  10. Vsevolod Alexeevich Solonnikov, Irina Vladimirovna Denisova, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, 1  crossref
  11. Vsevolod Alexeevich Solonnikov, Irina Vladimirovna Denisova, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, 1135  crossref
  12. Vsevolod Alexeevich Solonnikov, Irina Vlad. Denisova, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2017, 1  crossref
  13. 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
  14. J. Math. Sci. (N. Y.), 166:1 (2010), 91–105  mathnet  crossref
  15. V. A. Solonnikov, New Directions in Mathematical Fluid Mechanics, 2009, 379  crossref
  16. 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
  17. Vsevolod Solonnikov, International Mathematical Series, 7, Instability in Models Connected with Fluid Flows II, 2008, 189  crossref
  18. J. Math. Sci. (N. Y.), 152:5 (2008), 713–740  mathnet  crossref
  19. J. Math. Sci. (N. Y.), 136:2 (2006), 3812–3825  mathnet  crossref  mathscinet  zmath
  20. V. A. Solonnikov, “Stability of axis-symmetric equilibrium figures of viscous incompressible liquid”, St. Petersburg Math. J., 16:2 (2005), 377–400  mathnet  crossref  mathscinet  zmath
  21. Solonnikov V.A., “On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid”, Interfaces Free Bound, 6:4 (2004), 461–492  crossref  mathscinet  zmath  isi  scopus
  22. I. V. Denisova, O. A. Ladyzhenskaya, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee”, J. Math. Sci. (N. Y.), 130:4 (2005), 4775–4779  mathnet  crossref  mathscinet  zmath
  23. V. A. Solonnikov, “On the Problem of Evolution of an Isolated Liquid Mass”, Journal of Mathematical Sciences, 124:6 (2004), 5442–5460  mathnet  crossref  mathscinet  zmath


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