Edit Profile (opens in new tab) Solonnikov, Vsevolod Alekseevich Co-Author Distance Author ID: solonnikov.vsevolod-alekseevich Published as: Solonnikov, V. A.; Solonnikov, Vsevolod A.; Solonnikov, Vsevolod; Solonnikov, V.; Solonnikov, Vsevolod Alekseevich; Solonnikov, Vsevolod Alekseevič more...less External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 324 Publications since 1958, including 4 Books 10 Contributions as Editor Biographic References: 6 Publications Co-Authors: 52 Co-Authors with 149 Joint Publications 1,311 Co-Co-Authors all top 5 Co-Authors 185 single-authored 18 Ladyzhenskaya, Ol’ga Aleksandrovna 11 Denisova, Irina Vlad. 9 Frolova, E. V. 9 Garroni, Maria Giovanna 9 Vivaldi, Maria Agostina 8 Maremonti, Paolo 7 Golovkin, Kirill Kapitonovich 7 Grubb, Gerd 7 Padula, Mariarosaria 6 Pileckas, Konstantin 6 Ural’tseva, Nina Nikolaevna 5 Rautmann, Reimund 5 Tani, Atusi 4 Birman, Mikhail Shlëmovich 4 Bizhanova, Galina I. 4 Fasano, Antonio 4 Hildebrandt, Stefan 4 Khachatryan, A. G. 4 Mogilevskii, Ilya Shulimovich 4 Mulone, Giuseppe 3 Heywood, John G. 3 Il’in, Valentin Petrovich 3 Masuda, Kyûya 3 Yi, Fahuai 2 Galdi, Giovanni Paolo 2 Koch, Herbert 2 Mosconi, Sunra J. N. 2 Rivkind, L. P. 2 Rokhman, I. M. 2 Sakhaev, Sharipkhan 2 Vasil’ev, V. N. 2 Zajączkowski, Wojciech M. 1 Amann, Herbert 1 Antontsev, Stanislav Nikolaevich 1 Clarotti, C. A. 1 Finn, Robert Samuel 1 Hansen, Erik B. 1 Kazhikov, Aleksandr Vasil’evich 1 Meirmanov, Anvarbek Mukatovich 1 Novotný, Antonín 1 Panich, O. I. 1 Penel, Patrick 1 Pukhnachov, Vladislav Vasil’evich 1 Rădulescu, Vicenţiu D. 1 Rodrigues, José Francisco 1 Sahaev, Sh. 1 Scadilov, V. E. 1 Sequeira, Adélia 1 Seregin, Gregory A. 1 Shilkin, T. N. 1 Spizzichino, Fabio L. 1 True, Hans all top 5 Serials 41 Journal of Mathematical Sciences (New York) 34 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 32 Journal of Soviet Mathematics 17 St. Petersburg Mathematical Journal 12 Problemy Matematicheskogo Analiza 11 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 10 Soviet Mathematics. Doklady 9 Proceedings of the Steklov Institute of Mathematics 7 Zapiski Nauchnykh Seminarov POMI 5 Algebra i Analiz 5 Translations. Series 2. American Mathematical Society 4 International Mathematical Series (New York) 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Mathematics of the USSR. Izvestiya 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Fluid Mechanics 3 Interfaces and Free Boundaries 2 Doklady Akademii Nauk SSSR 2 Lithuanian Mathematical Journal 2 Mathematical Methods in the Applied Sciences 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Leningrad Mathematical Journal 2 Vestnik Leningrad University. Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Advances in Mathematical Sciences and Applications 2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 2 Lecture Notes in Mathematics 1 Houston Journal of Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Russian Mathematical Surveys 1 Acta Mathematica Sinica 1 Commentationes Mathematicae Universitatis Carolinae 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Le Matematiche 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 Asymptotic Analysis 1 Mathematica Bohemica 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Soviet Physics. Doklady 1 Acta Mathematica Sinica. New Series 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Functional Differential Equations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Contemporary Mathematics 1 Portugaliae Mathematica. Nova Série 1 Contemporary Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 Translations of Mathematical Monographs 1 Quaderni di Matematica 1 RIMS Kôkyûroku Bessatsu 1 Advances in Mathematical Fluid Mechanics all top 5 Fields 277 Partial differential equations (35-XX) 193 Fluid mechanics (76-XX) 15 Functional analysis (46-XX) 12 Operator theory (47-XX) 10 General and overarching topics; collections (00-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Integral equations (45-XX) 4 Potential theory (31-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 3 Astronomy and astrophysics (85-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 259 Publications have been cited 4,075 times in 2,823 Documents Cited by ▼ Year ▼ Linear and quasi-linear equations of parabolic type. Translated from the Russian by S. Smith. Zbl 0174.15403Ladyzhenskaya, O. A.; Solonnikov, V. A.; Ural’tseva, N. N. 723 1968 Linear and quasilinear equations of parabolic type. (Линейные и квазилинейные уравнения параболического типа.) Zbl 0164.12302Ladyzhenskaya, O. A.; Solonnikov, V. A.; Ural’tseva, N. N. 464 1967 Estimates for solutions of nonstationary Navier-Stokes equations. Zbl 0404.35081Solonnikov, V. A. 165 1977 On boundary value problems for linear parabolic systems of differential equations of general form. Zbl 0164.12502Solonnikov, V. A. 119 1965 On a boundary value problem for a stationary system of Navier-Stokes equations. Zbl 0313.35063Solonnikov, V. A.; Scadilov, V. E. 117 1973 Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids. Zbl 0401.76037Ladyzhenskaya, O. A.; Solonnikov, V. A. 99 1978 On some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Zbl 0346.35084Ladyzhenskaya, O. A.; Solonnikov, V. A. 69 1976 Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods. Zbl 0766.35034Grubb, Gerd; Solonnikov, Vsevolod A. 63 1991 Abschätzungen der Lösungen eines instationären Navier-Stokesschen Systems. Zbl 0346.35083Solonnikov, V. A. 58 1973 A-priori-Abschätzungen für Gleichungen zweiter Ordnung vom parabolischen Typ. Zbl 0168.08202Solonnikov, V. A. 54 1964 On nonstationary Stokes problem in exterior domains. Zbl 0958.35103Maremonti, P.; Solonnikov, V. A. 53 1997 Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Zbl 0388.35061Ladyzhenskaya, O. A.; Solonnikov, V. A. 52 1978 Abschätzung der Lösung des nichtstationären linearisierten Navier- Stokesschen Gleichungssystems. Zbl 0163.33803Solonnikov, V. A. 48 1964 Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces and estimates for the resolvent of the Stokes operator. Zbl 1059.35101Solonnikov, V. A. 47 2003 On the solvability of the initial-boundary problem for the equation of motion of the viscous compressible fluid. Zbl 0338.35078Solonnikov, V. A. 44 1976 Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface. Zbl 0398.76024Solonnikov, V. A. 44 1977 On the unique solvability of the initial value problem for viscous incompressible inhomogeneous fluids. Zbl 0376.76021Ladyzhenskaya, O. A.; Solonnikov, V. A. 43 1975 Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations. Zbl 0187.03402Solonnikov, V. A. 43 1968 On nonstationary Stokes problem and Navier-Stokes problem in a half-space with initial data nondecreasing at infinity. Zbl 1054.35059Solonnikov, V. A. 43 2003 Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid. Zbl 0451.35092Solonnikov, V. A. 41 1980 On the transient motion of an isolated volume of viscous incompressible fluid. Zbl 0850.76180Solonnikov, V. A. 33 1987 On finding solutions of boundary value problems for stationary Stokes and Navier-Stokes equations which have an unbounded Dirichlet integral. Zbl 0463.35069Ladyzhenskaya, O. A.; Solonnikov, V. A. 31 1980 Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral. Zbl 0509.35066Ladyzhenskaya, O. A.; Solonnikov, V. A. 31 1983 Solvability of the problem on evolution of a viscous incompressible fluid bounded by a free surface on a finite time interval. Zbl 0850.76132Solonnikov, V. A. 31 1991 On the solvability of boundary and initial-boundary value problems for the Navier-Stokes system in domains with noncompact boundaries. Zbl 0413.35062Solonnikov, V. A. 30 1981 General boundary value problems for Douglis-Nirenberg elliptic systems. Zbl 0168.36701Solonnikov, V. A. 28 1966 The linearization principle and invariant manifolds for problems of magnetohydrodynamics. Zbl 0404.35089Ladyzhenskaya, O. A.; Solonnikov, V. A. 27 1977 Free boundary problem for a viscous compressible flow with a surface tension. Zbl 0752.35096Solonnikov, V. A.; Tani, A. 25 1991 Existence theorems for the equations of motion of a compressible viscous fluid. Zbl 0492.76074Solonnikov, V. A.; Kazhikhov, A. V. 24 1981 Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm. Zbl 1068.35093Solonnikov, V. A. 24 2002 On the solvability of boundary and initial-boundary value problems for Navier-Stokes equations in domains with non-compact boundaries. Zbl 0377.35060Ladyzhenskaya, O. A.; Solonnikov, V. A. 23 1977 Solvability of the problem concerning the evolution of an isolated volume of viscous incompressible capillary liquid. Zbl 0551.76022Solonnikov, V. A. 23 1984 A priori estimates for second-order parabolic equations. Zbl 0179.42901Solonnikov, V. A. 23 1967 Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid. Zbl 0786.35106Solonnikov, V. A.; Tani, A. 23 1992 Schauder estimates for the evolutionary generalized Stokes problem. Zbl 1361.35135Solonnikov, V. A. 23 2007 Lectures on evolution free boundary problems: classical solutions. Zbl 1038.35063Solonnikov, Vsevolod A. 22 2003 Abschätzungen der Lösung für das Anfangs-Randwertproblem für ein lineares instationäres System von Navier-Stokesschen Gleichungen. Zbl 0357.76026Solonnikov, V. A. 22 1976 Solvability of a three-dimensional problem with a free boundary for the stationary system of Navier-Stokes equations. Zbl 0414.35062Solonnikov, V. A. 22 1979 Über allgemeine Randwertprobleme für Systeme, die im Sinne von A. Douglis - L. Nirenberg elliptisch sind. I. Zbl 0128.33003Solonnikov, V. A. 22 1964 Unsteady motion of a finite mass of fluid, bounded by a free surface. Zbl 0639.76035Solonnikov, V. A. 21 1988 Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A. 20 2004 On the local solvability of free boundary problem for the Navier-Stokes equations. Zbl 1357.35247Padula, M.; Solonnikov, V. A. 19 2010 On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary. Zbl 0731.35079Solonnikov, V. A. 19 1991 On the free boundary problem of magnetohydrodynamics. Zbl 1304.35782Padula, M.; Solonnikov, V. A. 18 2011 Weighted Schauder estimates for evolution Stokes problem. Zbl 1115.35105Solonnikov, Vsevolod A. 18 2006 Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm. Zbl 0909.35105Maremonti, P.; Solonnikov, V. A. 17 1995 On general boundary problems for systems which are elliptic in the sense of A. Douglis and L. Nirenberg. I. Zbl 0175.11703Solonnikov, V. A. 17 1964 On the solvability of classical initial-boundary value problems for the heat equation in a dihedron. Zbl 0557.35064Solonnikov, V. A. 16 1984 Über Differentialeigenschaften der Lösung des ersten Randwertproblems für das nichtstationäre System der Navier-Stokesschen Gleichungen. Zbl 0163.33901Solonnikov, V. A. 16 1964 Classical solvability of the problem on the motion of two viscous incompressible fluids. Zbl 0859.35093Denisova, I. V.; Solonnikov, V. A. 16 1995 \(L_ p\)-estimates for solutions of the heat equation in a dihedral angle. Zbl 1052.35046Solonnikov, V. A. 16 2001 On estimates of Green’s tensors for certain boundary problems. Zbl 0097.30404Solonnikov, V. 16 1960 On some free boundary problems for the Navier-Stokes equations with moving contact points and lines. Zbl 0926.35116Solonnikov, V. A. 15 1995 Solution of parabolic pseudo-differential initial-boundary value problems. Zbl 0713.35109Grubb, Gerd; Solonnikov, Vsevolod A. 15 1990 Nonstationary motion of a finite isolated mass in a self-gravitating fluid. Zbl 0713.76044Solonnikov, V. A. 15 1989 Estimates for the solution of the second initial boundary-value problem for the Stokes system in the spaces of functions having Hölder continuous derivatives with respect to the spatial variables. Zbl 1153.76349Solonnikov, V. A. 15 1999 Free boundary problems for second order parabolic equations. Zbl 0997.35102Bizhanova, G. I.; Solonnikov, V. A. 15 2001 Solvability of an initial-boundary value problem with time derivative in the boundary condition for a second order parabolic equation in a weighted Hölder function space. Zbl 0805.35043Bizhanova, G. I.; Solonnikov, V. A. 14 1993 On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop. Zbl 0974.35097Solonnikov, V. A. 14 1999 Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier-Stokes system of equations in domains with noncompact boundaries. Zbl 0612.35111Solonnikov, V. A.; Piletskas, K. I. 13 1986 Unsteady flow of a finite mass of a liquid bounded by a free surface. Zbl 0614.76026Solonnikov, V. A. 13 1986 On the problem of dynamic contact angle. Zbl 0532.76026Pukhnachev, V. V.; Solonnikov, V. A. 13 1983 On the Neumann problem for second order elliptic equations in domains with edges at the boundary. Zbl 0518.35030Zajaczkowski, W.; Solonnikov, V. A. 13 1983 On a parabolic system with time derivative in the boundary conditions and related free boundary problems. Zbl 0940.35211Rodrigues, J. F.; Solonnikov, V. A.; Yi, F. 13 1999 \(L_p\)-theory for the Stefan problem. Zbl 0906.35119Solonnikov, V. A.; Frolova, E. V. 13 1997 On quasistationary approximation in the problem of motion of a capillary drop. Zbl 0919.35103Solonnikov, V. A. 13 1999 \(L_q\)-estimates of the first-order derivatives of solutions to the nonstationary Stokes problem. Zbl 1046.35085Koch, Herbert; Solonnikov, Vsevolod A. 13 2002 On the global existence of nonsteady motions of a fluid drop and their exponential decay to a uniform rigid rotation. Zbl 1284.76095Padula, M.; Solonnikov, V. A. 13 2002 On overdetermined elliptic boundary value problems. Zbl 0231.35029Solonnikov, V. A. 13 1971 On the solvability of the second initial-boundary value problem for the linear non-stationary Navier-Stokes system. Zbl 0348.35079Solonnikov, V. A. 12 1977 Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier-Stokes system. Zbl 0389.76024Solonnikov, V. A. 12 1978 On parabolic oblique derivative problem with Hölder continuous coefficients. Zbl 0562.35044Garroni, M. G.; Solonnikov, V. A. 11 1984 Green’s matrices for elliptic boundary value problems. II. Zbl 0231.35030Solonnikov, V. A. 11 1971 On Green’s matrices for elliptic boundary value problems. I. Zbl 0244.35042Solonnikov, V. A. 11 1972 On a problem of magnetohydrodynamics in a multi-connected domain. Zbl 1402.35227Mosconi, Sunra J. N.; Solonnikov, Vsevolod A. 10 2011 Solvability of the classical initial-boundary-value problems for the heat-conduction equation in a dihedral angle. Zbl 0582.35055Solonnikov, V. A. 10 1986 Estimates of the solutions of initial boundary value problems in weighted Hölder norms. Zbl 0442.35016Solonnikov, V. A.; Khachatryan, A. G. 10 1980 Solvability of three-dimensional problems with a free boundary for a stationary system of Navier-Stokes equations. Zbl 0515.35073Solonnikov, V. A. 10 1983 An estimate for the solutions of Stokes equations in exterior domains. Zbl 0792.35130Maremonti, P.; Solonnikov, V. A. 10 1990 Solvability of the linearized problem on the motion of a drop in a liquid flow. Zbl 0796.76025Denisova, I. V.; Solonnikov, V. A. 10 1989 Global solvability of a problem governing the motion of two incompressible capillary fluids in a container. Zbl 1278.35175Denisova, I. V.; Solonnikov, V. A. 10 2012 Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval. Zbl 1308.76338Solonnikov, V. A.; Frolova, E. V. 10 2013 On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid. Zbl 1068.35114Solonnikov, V. A. 10 2004 Estimate of the generalized energy in a free-boundary problem for a viscous incompressible fluid. Zbl 1075.35041Solonnikov, V. A. 10 2001 Overdetermined elliptic boundary-value problems. Zbl 0285.35026Solonnikov, V. A. 10 1973 On the solvability of an evolution free boundary problem for the Navier-Stokes equations in Hölder spaces of functions. Zbl 0793.35072Mogilevskij, I. S.; Solonnikov, V. A. 9 1992 On an initial-boundary value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects. Zbl 0927.76100Mulone, G.; Solonnikov, V. A. 9 1995 The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier-Stokes equations. Zbl 0388.35059Solonnikov, V. A. 9 1978 On the linear problem arising in the study of a free boundary problem for the Navier-Stokes equations. Zbl 1230.35090Solonnikov, V. A. 9 2011 Existence, uniqueness and asymptotic behaviour of solutions of steady-state Navier-Stokes equations in a plane aperture domain. Zbl 0990.35116Galdi, G. P.; Padula, M.; Solonnikov, V. A. 9 1996 Classical solvability of a model problem in a half-space, related to the motion of an isolated mass of a compressible fluid. Zbl 1118.76312Denisova, I. V.; Solonnikov, V. A. 8 2000 On a problem with a third boundary condition for the Laplace equation in a plane angle and its application to parabolic problems. Zbl 0711.35036Solonnikov, V. A.; Frolova, E. V. 8 1990 Solvability of a problem on the plane motion of a heavy viscous incompressible capillary liquid partially filling a container. Zbl 0429.76020Solonnikov, V. A. 8 1980 On the solvability of boundary value and initial-boundary value problems for the Navier-Stokes equations in regions with noncompact boundaries. Zbl 0494.35078Ladyzhenskaya, O. A.; Solonnikov, V. A. 8 1982 On problems of the hydrodynamics of a viscous incompressible fluid in domains with noncompact boundaries. Zbl 0840.35078Solonnikov, V. A. 8 1992 On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid. Zbl 1075.35042Solonnikov, V. A. 8 2004 On the oblique derivative problem in an infinite angle. Zbl 0897.35023Garroni, M. G.; Solonnikov, V. A.; Vivaldi, M. A. 7 1996 On nonstationary motion of a finite isolated mass of selfgravitating fluid. Zbl 0717.76034Solonnikov, V. A. 7 1990 Inequalities for functions of the classes \(W^{\overrightarrow{m}}_p(R^n)\). Zbl 0349.46037Solonnikov, V. A. 7 1975 Abschätzungen von Integraloperatoren in translationsinvarianten Normen. Zbl 0163.33204Golovkin, K. K.; Solonnikov, V. A. 7 1964 Motion of a drop in an incompressible fluid. Translated from the Russian. Zbl 1511.76002Denisova, I. V.; Solonnikov, V. A. 1 2021 \(L_p\)-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation. Zbl 1468.35149Solonnikov, V. A. 1 2021 \(L_2\)-theory for two viscous fluids of different types: compressible and incompressible. Zbl 1456.76052Solonnikov, V. A. 1 2021 On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface. Zbl 1414.35151Solonnikov, V. A. 2 2019 \(L_2\)-theory for two incompressible fluids separated by a free interface. Zbl 1416.35182Denisova, Irina V.; Solonnikov, Vsevolod A. 3 2018 On the solvability of free boundary problem for viscous compressible fluids in an infinite time interval. Zbl 1371.35224Solonnikov, Vsevolod Alekseevich 2 2016 On a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid not subjected to capillary forces. Zbl 1353.35239Solonnikov, V. A. 1 2016 On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval. Zbl 1334.35212Solonnikov, V. A. 1 2016 On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations. Zbl 1323.45003Sahaev, Sh.; Solonnikov, V. A. 1 2015 \(L_p\)-theory of the problem of motion of two incompressible capillary fluids in a container. Zbl 1309.35093Solonnikov, V. A. 4 2014 \(L_p\)-theory of free boundary problems of magnetohydrodynamics in simply connected domains. Zbl 1328.35335Solonnikov, V. A. 2 2014 Viscous incompressible free-surface flow down an inclined perturbed plane. Zbl 1302.35298Pileckas, K.; Solonnikov, V. A. 2 2014 Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval. Zbl 1308.76338Solonnikov, V. A.; Frolova, E. V. 10 2013 \(L_p\)-estimates for a linear problem arising in the study of the motion of an isolated liquid mass. Zbl 1283.35068Solonnikov, V. A. 5 2013 Mixed type, nonlinear systems in polygonal domains. Zbl 1276.35118Solonnikov, Vsevolod A.; Vivaldi, Maria A. 2 2013 Global solvability of a problem governing the motion of two incompressible capillary fluids in a container. Zbl 1278.35175Denisova, I. V.; Solonnikov, V. A. 10 2012 Free boundary problems of magnetohydrodynamics in multi-connected domains. Zbl 1282.35315Solonnikov, Vsevolod A. 3 2012 On some stationary problems of magnetohydrodynamics in multi-connected domains. Zbl 1261.35123Sakhaev, Sh.; Solonnikov, V. A. 3 2012 \(L_{p}\)-estimates of the solution of a linear problem arising in magnetohydrodynamics. Zbl 1234.35202Solonnikov, V. 1 2012 On the stability of uniformly rotating viscous incompressible self-gravitating liquid. Zbl 1287.35109Solonnikov, Vsevolod A. 1 2012 On the free boundary problem of magnetohydrodynamics. Zbl 1304.35782Padula, M.; Solonnikov, V. A. 18 2011 On a problem of magnetohydrodynamics in a multi-connected domain. Zbl 1402.35227Mosconi, Sunra J. N.; Solonnikov, Vsevolod A. 10 2011 On the linear problem arising in the study of a free boundary problem for the Navier-Stokes equations. Zbl 1230.35090Solonnikov, V. A. 9 2011 On the stability of uniformly rotating liquid in a weak magnetic field. Zbl 1290.76163Solonnikov, V. A. 1 2011 On the local solvability of free boundary problem for the Navier-Stokes equations. Zbl 1357.35247Padula, M.; Solonnikov, V. A. 19 2010 Instability of a rotating fluid. Zbl 1288.35401Solonnikov, V. A. 1 2010 Linearization principle for a system of equations of mixed type. Zbl 1178.35061Mulone, G.; Solonnikov, V. A. 6 2009 Schauder estimates for a system of equations of mixed type. Zbl 1183.35209Garroni, M. G.; Solonnikov, V. A.; Vivaldi, M. A. 2 2009 On the nonstationary motion of a viscous incompressible liquid over a rotating ball. Zbl 1214.35087Solonnikov, V. A. 1 2009 A simple proof of the linear instability of rotating liquid drops. Zbl 1248.76059Padula, Mariarosaria; Solonnikov, Vsevolod A. 4 2008 On estimates for volume and surface potentials in domains with boundary of class \(W_{2}^{l}\). Zbl 1202.31005Solonnikov, V. A. 2 2008 On estimates for potentials related to the problem of stability of a rotating self-gravitating liquid. Zbl 1202.35360Solonnikov, V. A. 1 2008 Schauder estimates for the evolutionary generalized Stokes problem. Zbl 1361.35135Solonnikov, V. A. 23 2007 On the linear problem related to the stability of uniformly rotating self-gravitating liquid. Zbl 1202.35178Solonnikov, V. A. 3 2007 On stability of equilibrium figures of a uniformly rotating liquid drop in \(n\)-dimensional space. Zbl 1119.35058Padula, M.; Solonnikov, V. A. 3 2007 On Schauder estimates for the evolution generalized Stokes problem. Zbl 1123.35005Solonnikov, Vsevolod A. 3 2007 On the problem of non-stationary motion of two viscous incompressible liquids. Zbl 1202.35177Solonnikov, V. A. 1 2007 Weighted Schauder estimates for evolution Stokes problem. Zbl 1115.35105Solonnikov, Vsevolod A. 18 2006 Estimates of the solution of model evolution generalized Stokes problem in weighted Hölder spaces. Zbl 1127.35051Solonnikov, V. A. 4 2006 Letter to the editor: Erratum to: “On a linear problem connected with equilibrium figures of a uniformly rotating viscous liquid”. Zbl 1114.35026Solonnikov, V. A. 2 2006 On instability of equilibrium figures of rotating viscous incompressible self-gravitating liquid not subjected to capillary forces. Zbl 1119.35069Solonnikov, V. A. 2 2006 Weighted estimates for the solution of a linear problem associated with the one-phase Stefan problem in the case when the specific heat tends to zero. Zbl 1123.35093Solonnikov, V. A.; Frolova, E. V. 1 2006 On instability of equilibrium figures of rotating viscous incompressible liquid. Zbl 1099.76022Solonnikov, V. A. 4 2005 On the stability of axially symmetric equilibrium figures of a rotating viscous incompressible fluid. Zbl 1068.35092Solonnikov, V. A. 3 2005 On linear stability and instability of equilibrium figures of uniformly rotating liquid. Zbl 1140.76335Solonnikov, V. A. 2 2005 Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A. 20 2004 On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid. Zbl 1068.35114Solonnikov, V. A. 10 2004 On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid. Zbl 1075.35042Solonnikov, V. A. 8 2004 Estimates for the resolvent of the operator appearing in the study of equilibrium figures of a rotating viscous incompressible fluid. Zbl 1099.35105Solonnikov, V. A. 2 2004 The problem on evolution of a self-gravitating isolated fluid mass that is not subject to the surface tension forces. Zbl 1099.35182Solonnikov, V. A. 1 2004 Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces and estimates for the resolvent of the Stokes operator. Zbl 1059.35101Solonnikov, V. A. 47 2003 On nonstationary Stokes problem and Navier-Stokes problem in a half-space with initial data nondecreasing at infinity. Zbl 1054.35059Solonnikov, V. A. 43 2003 Lectures on evolution free boundary problems: classical solutions. Zbl 1038.35063Solonnikov, Vsevolod A. 22 2003 Classical solvability of a problem on the motion of an isolated mass of compressible fluid. Zbl 1037.35103Denisova, I. V.; Solonnikov, V. A. 6 2003 \(L_q\)-estimates for a solution to the problem about the evolution of an isolated amount of a fluid. Zbl 1054.35070Solonnikov, V. A. 2 2003 Unsaturated incompressible flows in adsorbing porous media. Zbl 1066.76060Fasano, A.; Solonnikov, V. 2 2003 On the problem of evolution of an isolated liquid mass. Zbl 1071.76023Solonnikov, V. A. 2 2003 Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm. Zbl 1068.35093Solonnikov, V. A. 24 2002 \(L_q\)-estimates of the first-order derivatives of solutions to the nonstationary Stokes problem. Zbl 1046.35085Koch, Herbert; Solonnikov, Vsevolod A. 13 2002 On the global existence of nonsteady motions of a fluid drop and their exponential decay to a uniform rigid rotation. Zbl 1284.76095Padula, M.; Solonnikov, V. A. 13 2002 On the theory of nonstationary hydrodynamic potentials. Zbl 0995.35044Solonnikov, Vsevolod 7 2002 Existence of non-steady flows of an incompressible, viscous drop of fluid in a frame rotating with finite angular velocity. Zbl 1039.35018Padula, M.; Solonnikov, V. A. 6 2002 Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. Zbl 0998.00008 4 2002 Nonlinear problems in mathematical physics and related topics II. In honour of Professor O. A. Ladyzhenskaya. Zbl 1005.00022 2 2002 Potential theory for the nonstationary Stokes problem in nonconvex domains. Zbl 1054.35060Solonnikov, Vsevolod A. 2 2002 \(L_ p\)-estimates for solutions of the heat equation in a dihedral angle. Zbl 1052.35046Solonnikov, V. A. 16 2001 Free boundary problems for second order parabolic equations. Zbl 0997.35102Bizhanova, G. I.; Solonnikov, V. A. 15 2001 Estimate of the generalized energy in a free-boundary problem for a viscous incompressible fluid. Zbl 1075.35041Solonnikov, V. A. 10 2001 Initial-boundary value problem for generalized Stokes equations. Zbl 0981.35047Solonnikov, V. A. 3 2001 \(L_p\)-estimates for a solution to the nonstationary Stokes equations. Zbl 0987.35121Kokh, Kh.; Solonnikov, V. A. 2 2001 The exponential behaviour of the Green function in a dihedral angle. Zbl 1075.35524Garroni, M. G.; Solonnikov, V. A.; Vivaldi, M. A. 1 2001 Smooth interface in a two-component Stokes flow. Zbl 1005.35073Antontsev, S. N.; Meirmanov, A. M.; Solonnikov, V. A. 1 2001 \(L_p\)-estimates of solutions of initial-boundary value problem for generalized Stokes equations. Zbl 1003.76016Solonnikov, V. A. 1 2001 Classical solvability of a model problem in a half-space, related to the motion of an isolated mass of a compressible fluid. Zbl 1118.76312Denisova, I. V.; Solonnikov, V. A. 8 2000 Jeffery-Hamel asymptotics for steady state Navier-Stokes flow in domains with sector-like outlets to infinity. Zbl 0979.35113Rivkind, L.; Solonnikov, V. A. 5 2000 \(L_p\)-estimates for solutions to the initial-boundary value problem for the generalized Stokes system of equations in a bounded domain. Zbl 0986.35084Solonnikov, V. A. 4 2000 On the quasistationary approximation in the problem of evolution of an isolated liquid mass. Zbl 0961.35115Solonnikov, V. A. 4 2000 The initial-boundary value problem for a generalized Stokes system in a half-space. Zbl 1027.76010Solonnikov, V. A. 4 2000 A one-dimensional parabolic problem arising in studies of some free boundary problems. Zbl 1031.35153Solonnikov, V. A.; Fasano, A. 3 2000 On the solvability of generalized Stokes equations in the spaces of periodic functions. Zbl 1037.35060Solonnikov, V. A. 1 2000 On nonsymmetric two-dimensional viscous flow through an aperture. Zbl 0977.76014Rivkind, L. P.; Solonnikov, V. A. 1 2000 Estimates for the solution of the second initial boundary-value problem for the Stokes system in the spaces of functions having Hölder continuous derivatives with respect to the spatial variables. Zbl 1153.76349Solonnikov, V. A. 15 1999 On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop. Zbl 0974.35097Solonnikov, V. A. 14 1999 On a parabolic system with time derivative in the boundary conditions and related free boundary problems. Zbl 0940.35211Rodrigues, J. F.; Solonnikov, V. A.; Yi, F. 13 1999 On quasistationary approximation in the problem of motion of a capillary drop. Zbl 0919.35103Solonnikov, V. A. 13 1999 On the problem of a steady fall of a drop in a liquid medium. Zbl 0951.35110Solonnikov, V. A. 3 1999 Existence and regularity results for oblique derivative problems for heat equations in an angle. Zbl 0958.35063Garroni, M. G.; Solonnikov, V. A.; Vivaldi, M. A. 5 1998 Solvability of two-dimensional free boundary value problem for the Navier-Stokes equations for limiting values of contact angle. Zbl 0932.35161Solonnikov, Vsevolod A. 4 1998 Stationary free boundary problems for the Navier-Stokes equations. Zbl 0941.35071Solonnikov, Vsevolod A. 2 1998 Free boundary problems for second order parabolic equations. Zbl 0922.35192Solonnikov, V. A. 2 1998 Free boundary problem in the flow of a fluid at the exit of a cylindrical tube. (Problème de frontière libre dans l’écoulement d’un fluide à la sortie d’un tube cylindrique.) Zbl 0934.35127Solonnikov, V. A. 1 1998 Recent developments in partial differential equations. Zbl 0910.00019 1 1998 Solvability of two stationary free boundary problems for the Navier-Stokes equations. Zbl 0955.35059Solonnikov, V. A. 1 1998 On nonstationary Stokes problem in exterior domains. Zbl 0958.35103Maremonti, P.; Solonnikov, V. A. 53 1997 \(L_p\)-theory for the Stefan problem. Zbl 0906.35119Solonnikov, V. A.; Frolova, E. V. 13 1997 Gradient estimates for solutions of the Navier-Stokes equations. Zbl 0896.35104Finn, Robert; Solonnikov, Vsevolod 2 1997 An estimate of the solutions of a stationary problem for the Navier-Stokes equations. Zbl 0961.35114Solonnikov, V. A. 2 1997 Green function for the heat equation with oblique boundary conditions in an angle. Zbl 1011.35069Garroni, Maria Giovanna; Solonnikov, Vsevolod Alekseevič; Vivaldi, Maria Agostina 1 1997 Investigation of the problem of the flow of a compressible viscous fluid past a bounded body in the Hölder classes of functions. Zbl 0982.76544Novotny, A.; Penel, P.; Solonnikov, V. A. 1 1997 Problem of steady motion for a second-grade fluid in the Hölder classes of functions. Zbl 0906.35075Moghilevskii, I. Sh.; Solonnikov, V. A. 1 1997 ...and 159 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,699 Authors 80 Solonnikov, Vsevolod Alekseevich 43 Pileckas, Konstantin 37 Maremonti, Paolo 32 Zajączkowski, Wojciech M. 24 Shibata, Yoshihiro 22 Beirão da Veiga, Hugo 22 Seregin, Gregory A. 21 Giga, Yoshikazu 21 Repin, Sergeĭ Igorevich 20 Farwig, Reinhard 19 Mucha, Piotr Bogusław 19 Sohr, Hermann 17 Tani, Atusi 16 Jin, Bumja 16 Padula, Mariarosaria 16 Shimizu, Senjo 15 Chang, Tongkeun 15 Dong, Hongjie 15 Hieber, Matthias 14 Denisova, Irina Vlad. 14 Deuring, Paul 14 Galdi, Giovanni Paolo 14 Winkler, Michael 13 Kamynin, Vitaly Leonidovich 13 Kang, Kyungkeun 13 Rojas-Medar, Marko Antonio 12 Cherepova, M. F. 12 Frolova, E. V. 12 Raymond, Jean-Pierre 11 Abels, Helmut 11 Danchin, Raphaël 11 Degtyarev, Sergeĭ Petrovich 11 Friedman, Avner 11 Nazarov, Sergeĭ Aleksandrovich 11 O’Riordan, Eugene 11 Xin, Zhouping 10 Amrouche, Chérif 10 Hishida, Toshiaki 10 Kozono, Hideo 10 Nečasová, Šárka 10 Saal, Jürgen 9 Arkhipova, Arina A. Arkhipova 9 Baderko, Elena A. 9 Berselli, Luigi Carlo 9 Choe, Hi Jun 9 Huang, Xiangdi 9 Ogawa, Takayoshi 9 Prüß, Jan Wilhelm 9 Radkevich, Evgeniĭ Vladimirovich 9 Sritharan, Sivaguru S. 9 Tan, Zhong 9 Zhang, Ping 9 Zlotnik, Alexander A. 8 Antontsev, Stanislav Nikolaevich 8 Bizhanova, Galina I. 8 Braz e Silva, Pablo 8 Gracia, José Luis 8 Han, Pigong 8 Ivanov, Aleksandr Vasil’evich 8 Kozlov, Vladimir A. 8 Krasnoshchok, Mykola Valeriĭovych 8 Ladyzhenskaya, Ol’ga Aleksandrovna 8 Li, Jing 8 Málek, Josef 8 Maz’ya, Vladimir Gilelevich 8 Mulone, Giuseppe 8 Panasenko, Grigory P. 8 Pukhnachov, Vladislav Vasil’evich 8 Rossmann, Jürgen 8 Russo, Remigio 8 Tice, Ian 8 Vasylyeva, Nataliya V. 8 Wang, Yanjin 8 Wang, Yun 8 Zhang, Zhifei 7 Abe, Ken 7 Amosov, Andreĭ Avenirovich 7 Barker, Tobias 7 Bazaliĭ, Boris V. 7 Borchers, Wolfgang 7 Crispo, Francesca 7 Fernández-Cara, Enrique 7 Garroni, Maria Giovanna 7 Gazzola, Filippo 7 Johnsen, Jon 7 Kim, KyeongHun 7 Kim, Seick 7 Kostin, Andrey B. 7 Krylov, Nicolaĭ Vladimirovich 7 Lasiecka, Irena 7 Maekawa, Yasunori 7 Meirmanov, Anvarbek Mukatovich 7 Novotný, Antonín 7 Pyatkov, Sergeĭ Grigor’evich 7 Shishkin, Grigoriĭ Ivanovich 7 Stupyalis, Lyudvikas I. 7 Valli, Alberto 7 Vivaldi, Maria Agostina 7 Wang, Lihe 7 Wang, Yi ...and 2,599 more Authors all top 5 Cited in 345 Serials 202 Journal of Differential Equations 168 Journal of Mathematical Sciences (New York) 132 Journal of Mathematical Analysis and Applications 89 Nonlinear Analysis. 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Scienze Matematiche 18 Applicable Analysis 17 Journal of Computational and Applied Mathematics 17 Zeitschrift für Analysis und ihre Anwendungen 17 Boundary Value Problems 16 Applied Mathematics and Computation 16 St. Petersburg Mathematical Journal 15 NoDEA. Nonlinear Differential Equations and Applications 15 Communications on Pure and Applied Analysis 14 Mathematische Nachrichten 14 Transactions of the American Mathematical Society 14 Computational Mathematics and Mathematical Physics 14 Abstract and Applied Analysis 13 Advances in Mathematics 12 Journal of Mathematical Physics 12 Proceedings of the Japan Academy. Series A 12 Applications of Mathematics 12 Evolution Equations and Control Theory 11 Manuscripta Mathematica 11 Applied Mathematics Letters 11 Stochastic Processes and their Applications 11 Discrete and Continuous Dynamical Systems. Series S 10 Rocky Mountain Journal of Mathematics 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Communications on Pure and Applied Mathematics 9 Nonlinearity 9 Discrete and Continuous Dynamical Systems. Series B 9 Proceedings of the Steklov Institute of Mathematics 9 Science China. Mathematics 9 Journal of Siberian Federal University. Mathematics & Physics 8 Numerische Mathematik 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 8 Advances in Nonlinear Analysis 7 The Annals of Probability 7 Journal of Optimization Theory and Applications 7 Proceedings of the American Mathematical Society 7 SIAM Journal on Control and Optimization 7 Applied Numerical Mathematics 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Journal of Inverse and Ill-Posed Problems 7 Sbornik: Mathematics 6 Journal of the Mathematical Society of Japan 6 Mathematics and Computers in Simulation 6 Physica D 6 Acta Mathematicae Applicatae Sinica. 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