This publication is cited in the following articles:
R. Farwig, Y. Giga, “On square-in-time integrability of the maximum norm of a finite energy solution to the planar Navier–Stokes equations”, Algebra i analiz, 36:3 (2024), 289–307
St. Petersburg Math. J., 32:1 (2021), 91–137
A. V. Chernov, “On preservation of global solvability of controlled second kind operator equation”, Ufa Math. J., 12:1 (2020), 56–81
Sh. Sakhaev, “Estimates of a single problem of electrodynamics arising in magnetic hydrodynamics in space $W_{p}^{2,1} (Q_{T} ), p>1$”, Sib. elektron. matem. izv., 17 (2020), 1787–1796
Jang Yu. Kim D., “Suitable Weak Solutions of the Incompressible Magnetohydrodynamic Equations in Time Varying Domains”, Acta Appl. Math., 170:1 (2020), 709–730
Seregin G., “Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations”, Anal. Math. Phys., 10:4 (2020), 46
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
Kim H. Thomann E.A. Guenther R.B., “A Representation of the Solution of the Stokes Equations in the Half Space R+3: Application to Spatial and Temporal Estimates of the Pressure”, J. Math. Fluid Mech., 21:1 (2019), UNSP 16
Maremonti P. Shimizu S., “Global Existence of Solutions to 2-D Navier–Stokes Flow With Non-Decaying Initial Data in Exterior Domains”, J. Math. Fluid Mech., 20:3 (2018), 899–927
G. A. Seregin, T. N. Shilkin, “Liouville-type theorems for the Navier–Stokes equations”, Russian Math. Surveys, 73:4 (2018), 661–724
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
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
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
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
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
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
Barker T. Seregin G., “Ancient Solutions To Navier–Stokes Equations in Half Space”, J. Math. Fluid Mech., 17:3 (2015), 551–575
St. Petersburg Math. J., 25:5 (2014), 815–833
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
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
Maremonti P., “On the Uniqueness of Bounded Very Weak Solutions to the Navier–Stokes Cauchy Problem”, Appl. Anal., 90:1, SI (2011), 125–139
J. Math. Sci. (N. Y.), 178:3 (2011), 282–291
J. Math. Sci. (N. Y.), 166:1 (2010), 40–52
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
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
J. Math. Sci. (N. Y.), 159:4 (2009), 486–523
J. Math. Sci. (N. Y.), 143:2 (2007), 2924–2935
J. Math. Sci. (N. Y.), 132:3 (2006), 339–358
Kang K.K., “On boundary regularity of the Navier–Stokes equations”, Comm Partial Differential Equations, 29:7–8 (2004), 955–987
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
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
Popa C., Sritharan S.S., “Fluid-magnetic splitting of the magnetohydrodynamic equations”, Mathematical Models & Methods in Applied Sciences, 13:6 (2003), 893–917
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
V. L. Kamynin, “The asymptotic behavior of solutions to linearized Navier–Stokes equations”, Comput. Math. Math. Phys., 37:8 (1997), 926–935
I. A. Vasin, “An inverse problem of selecting a linearization coefficient for Navier–Stokes equations on the basis of integral overdetermination”, Comput. Math. Math. Phys., 36:4 (1996), 491–499
F. Kh. Mukminov, “On uniform stabilization of solutions of the exterior problem for the Navier–Stokes equations”, Russian Acad. Sci. Sb. Math., 81:2 (1995), 297–320
I. A. Vasin, “On some inverse problems of the dynamics of a viscous incompressible fluid in the case of integral overdetermination”, Comput. Math. Math. Phys., 32:7 (1992), 955–963
I. Sh. Mogilevskii, “On a boundary value problem for the time-dependent Stokes system with general boundary conditions”, Math. USSR-Izv., 28:1 (1987), 37–66
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