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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. LOMI, 1973, Volume 38, Pages 153–231 (Mi znsl2649)

Estimates for solutions of nonstationary Navier–Stokes equations
V. A. Solonnikov

This publication is cited in the following articles:
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  8. Maremonti P. Shimizu S., “Global Existence of Weak Solutions to 3D Navier-Stokes Ibvp With Non-Decaying Initial Data in Exterior Domains”, J. Differ. Equ., 269:2 (2020), 1612–1635  crossref  isi
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  12. Barker T., Seregin G., Sverak V., “On Stability of Weak Navier-Stokes Solutions With Large l-3,l- Initial Data”, Commun. Partial Differ. Equ., 43:4 (2018), 628–651  crossref  mathscinet  zmath  isi  scopus
  13. Maremonti P., “On the l-P Helmholtz Decomposition: a Review of a Result Due to Solonnikov()”, Lith. Math. J., 58:3, SI (2018), 268–283  crossref  mathscinet  zmath  isi  scopus
  14. Choe H.J. Jang Yu. Yang M., “Existence of Suitable Weak Solutions to the Navier–Stokes Equations in Time Varying Domains”, Nonlinear Anal.-Theory Methods Appl., 163 (2017), 163–176  crossref  isi
  15. Barker T. Seregin G., “A Necessary Condition of Potential Blowup For the Navier–Stokes System in Half-Space”, Math. Ann., 369:3-4 (2017), 1327–1352  crossref  isi
  16. Chang T. Jin B.J., “Notes on the Space-Time Decay Rate of the Stokes Flows in the Half Space”, J. Differ. Equ., 263:1 (2017), 240–263  crossref  isi
  17. Chang T. Jin B.J., “Pointwise Decay Estimate of Navier–Stokes Flows in the Half Space With Slowly Decreasing Initial Value”, Nonlinear Anal.-Theory Methods Appl., 157 (2017), 167–188  crossref  isi
  18. Barker T. Seregin G., “Ancient Solutions To Navier–Stokes Equations in Half Space”, J. Math. Fluid Mech., 17:3 (2015), 551–575  crossref  isi
  19. St. Petersburg Math. J., 25:5 (2014), 815–833  mathnet  crossref  mathscinet  zmath  isi  elib
  20. 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
  21. Sh. Sakhaev, V. A. Solonnikov, “On some stationary problems of magnetohydrodynamics in multi-connected domains”, J. Math. Sci. (N. Y.), 185:5 (2012), 728–741  mathnet  crossref  mathscinet
  22. Maremonti P., “On the Uniqueness of Bounded Very Weak Solutions to the Navier–Stokes Cauchy Problem”, Appl. Anal., 90:1, SI (2011), 125–139  crossref  zmath  isi
  23. J. Math. Sci. (N. Y.), 178:3 (2011), 282–291  mathnet  crossref
  24. J. Math. Sci. (N. Y.), 166:1 (2010), 40–52  mathnet  crossref
  25. 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
  26. 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
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  31. 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
  32. V. A. Solonnikov, “On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator”, Russian Math. Surveys, 58:2 (2003), 331–365  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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  34. Solonnikov V.A., “On the solvability of generalized Stokes equations in the spaces of periodic functions”, Annales of the University of Ferra, Section VII, Mathematical Sciences, Annali Dell'Universita Di Ferrara, Sezione VII, Scienze Matematiche, 46, 2000, 219–249  zmath  isi
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  40. V. A. Solonnikov, “Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface”, Math. USSR-Izv., 11:6 (1977), 1323–1358  mathnet  crossref  mathscinet  zmath


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