Compute Distance To:
 Documents Indexed: 270 Publications since 1950, including 17 Books 40 Contributions as Editor Biographic References: 24 Publications Co-Authors: 71 Co-Authors with 151 Joint Publications 2,612 Co-Co-Authors
all top 5

all top 5

all top 5

### Fields

 166 Partial differential equations (35-XX) 69 Fluid mechanics (76-XX) 37 General and overarching topics; collections (00-XX) 29 History and biography (01-XX) 19 Operator theory (47-XX) 16 Ordinary differential equations (34-XX) 9 Mechanics of deformable solids (74-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Numerical analysis (65-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 4 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Number theory (11-XX) 2 Quantum theory (81-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

183 Publications have been cited 6,255 times in 5,433 Documents Cited by Year
The mathematical theory of viscous incompressible flow. Zbl 0184.52603
1969
Linear and quasilinear elliptic equations. Zbl 0164.13002
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1968
Linear and quasi-linear equations of parabolic type. Translated from the Russian by S. Smith. Zbl 0174.15403
Ladyzhenskaya, O. A.; Solonnikov, V. A.; Ural’tseva, N. N.
1968
Linear and quasilinear equations of parabolic type. (Линейные и квазилинейные уравнения параболического типа.) Zbl 0164.12302
Ladyzhenskaya, O. A.; Solonnikov, V. A.; Ural’tseva, N. N.
1967
The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater. Zbl 0588.35003
1985
The mathematical theory of viscous incompressible flow. Translated from the Russian by R.A. Silverman. Zbl 0121.42701
1963
Attractors for semigroups and evolution equations. Zbl 0755.47049
1991
Mathematical questions of the dynamics of a viscous incompressible fluid. 2nd rev. and suppl. edition. (Математические вопросы динамики вязкой несжимаемой жидкости.) Zbl 0215.29004
1970
The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types. Zbl 0388.35039
Kalantarov, V. K.; Ladyzhenskaya, O. A.
1978
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
Linear and quasilinear equations of elliptic type. 2nd revised ed. (Линейные и квазилинейные уравнения ѐллиптического типа.) Zbl 0269.35029
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1973
New equations for the description of motion of viscous incompressible fluids and solvability in the large of boundary value problems for them. Zbl 0202.37802
1967
Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids. Zbl 0401.76037
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1978
Boundary value problems of mathematical physics. IV. Zbl 0169.00206
1966
Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity. Zbl 0285.76010
1973
Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations. Zbl 0193.07202
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1970
On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations. Zbl 0687.35072
1987
On some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Zbl 0346.35084
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1976
Uniqueness and smoothness of generalized solutions of the Navier-Stokes equation. Zbl 0194.12805
1967
Linear and quasilinear elliptic equations of elliptic type. (Линейные и квазилинейные уравнения ѐллиптического типа.) Zbl 0143.33602
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1964
Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Zbl 0388.35061
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1978
A dynamical system generated by the Navier-Stokes equations. Zbl 0336.35081
1975
Equations aux dérivées partielles de type elliptique. Zbl 0164.13001
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1968
Blow-up theorems for quasilinear parabolic and hyperbolic equations. Zbl 0354.35054
Kalantarov, V. K.; Ladyzhenskaya, O. A.
1977
On the unique solvability of the initial value problem for viscous incompressible inhomogeneous fluids. Zbl 0376.76021
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1975
Attractors for quasilinear second-order parabolic equations of the general form. Zbl 0729.35066
1991
Solution ”in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables. Zbl 0103.19502
1959
On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations. Zbl 1064.76118
Gunzburger, M. D.; Ladyzhenskaya, O. A.; Peterson, J. S.
2004
The sixth millennium problem: Navier-Stokes equations, existence and smoothness. Zbl 1062.35067
2003
Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral. Zbl 0509.35066
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1983
On the linear and quasilinear parabolic equations. Zbl 0182.43204
1967
The classical solvability of diffraction problems. Zbl 0165.11802
Ladyzhenskaya, O. A.; Rivkind, V. Ya.; Ural’tseva, N. N.
1966
The linearization principle and invariant manifolds for problems of magnetohydrodynamics. Zbl 0404.35089
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1977
Über Modifikationen der Navier-Stokesschen Gleichungen für große Geschwindigkeitesgradienten. Zbl 0195.10602
1968
On finding solutions of boundary value problems for stationary Stokes and Navier-Stokes equations which have an unbounded Dirichlet integral. Zbl 0463.35069
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1980
Über ein dynamisches System, das durch die Navier-Stokesschen Gleichungen erzeugt wird. Zbl 0327.35064
1972
On the smoothness of weak solutions of quasilinear equations in several variables and of variational problems. Zbl 0131.09402
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1961
On the solvability of boundary and initial-boundary value problems for Navier-Stokes equations in domains with non-compact boundaries. Zbl 0377.35060
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1977
Das gemischte Problem für die hyperbolische Gleichung. Zbl 0052.32501
1953
Boundary value problems of mathematical physics. III. Zbl 0164.12501
1965
Solution ”in the large” to the boundary value problem for the Navier- Stokes equations in two space variables. Zbl 0090.41502
1958
Finite-dimensionality of bounded invariant sets for Navier-Stokes systems and other dissipative systems. Zbl 0561.76044
1985
On the existence and uniqueness of solutions of the non-stationary problems for flows of non-compressible fluids. Translated by John Abramowich. Zbl 0131.41201
Kiselev, A. A.; Ladyzhenskaya, O. A.
1963
Über die eindeutige Lösbarkeit des dreidimensionalen Cauchyproblems im Großen für die Navier-Stokesschen Gleichungen mit Axialsymmetrie. Zbl 0195.10603
1968
Dynamical system generated by the Navier-Stokes equations. Zbl 0301.35077
1972
On the finite dimensionality of bounded invariant sets for the Navier- Stokes system and other dissipative systems. Zbl 0535.76033
1982
Untersuchung der Navier-Stokesschen Gleichung für den Fall der stationären Bewegung einer inkompressiblen Flüssigkeit. Zbl 0100.09602
1959
Modification of the Navier-Stokes equations for large velocity gradients. Zbl 0202.37301
1968
Some complements and specifications to my publications on the theory of attractors for abstract semigroups. Zbl 0737.47037
1990
Attractors of nonlinear evolution problems with dissipation. Zbl 0645.35012
1988
First boundary value problem for the Navier-Stokes equations in domains with non smooth boundaries. Zbl 0744.35034
1992
Estimates of the fractal dimension and of the number of deterministic modes for invariant sets of dynamical sytsems. Zbl 0665.58039
1987
Boundary value problems of mathematical physics and related aspects of function theory. II. Zbl 0199.10002
1970
Boundary value problems in mathematical physics and adjacent problems of function theory. 16. Work collection. (Kraevye zadachi matematicheskoj fiziki i smezhnye voprosy teorii funktsij. 16. Sbornik rabot). Zbl 0533.00009
1984
The life and scientific work of Vladimir Ivanovich Smirnov. Zbl 0653.01017
1987
AIbout integral estimates, the convergence, the approximate methods, and solution in functionals for elliptic operators. Zbl 0080.30801
1958
Boundary value problems for partial differential equations and certain classes of operator equations. Zbl 0084.11002
Vishik, M. I.; Ladyzhenskaya, O. A.
1958
Mathematical analysis of Navier-Stokes equations for incompressible liquids. Zbl 0344.76014
1975
Randwertprobleme der mathematischen Physik. (Kraevye zadaci matematiceskoi fiziki.) Lehrbuch. Zbl 0284.35001
1973
On the solvability of boundary value and initial-boundary value problems for the Navier-Stokes equations in regions with noncompact boundaries. Zbl 0494.35078
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1982
A survey of results on the solvability of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities. Zbl 0639.35042
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1986
Boundary problems for linear and quasilinear parabolic equations. I, II. Zbl 0149.31301
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1965
On continuous spectrum perturbation theory. Zbl 0088.09101
1958
On some gaps in two of my papers on the Navier-Stokes equations and the way of closing them. Zbl 1054.35054
2000
Funktionalanalytische Untersuchungen der Navier-Stokesschen Gleichungen. In deutscher Sprache herausgegeben von Joachim Förste. Zbl 0142.43002
1965
The first boundary problem for quasilinear parabolic equations. Zbl 0070.09401
1956
Attractors for the modifications of the three-dimensional Navier-Stokes equations. Zbl 0807.35109
1994
Limit states for modified Navier-Stokes equations in three-dimensional space. Zbl 0515.35071
1983
Über Existenz und Eindeutigkeit der Lösung eines instationären Problems für eine zähe inkompressible Flüssigkeit. Zbl 0078.39801
Kiselev, A. A.; Ladyzhenskaya, O. A.
1957
On parabolic problems generated by some symmetric functions of the eigenvalues of the Hessian. Zbl 0826.35058
1994
On coercive estimates for solutions of linear systems of hydrodynamic type. Zbl 1068.35108
Ladyzhenskaya, O. A.; Shilkin, T. N.
2002
Estimates of Hölder constants for functions satisfying a uniformly elliptic or uniformly parabolic quasilinear inequality with unbounded coefficients. Zbl 0596.35128
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1985
Global estimates of the gradient of solutions of quasilinear elliptic and parabolic equations. Zbl 0202.38002
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1969
Estimate of the Hölder norm of the solutions of second-order quasilinear elliptic equations of the general form. Zbl 0511.35012
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1983
Quasi-linear elliptic equations and variational problems with many independent variables. Zbl 0142.37602
Ladyzhenskaya, O. A.; Ural’tseva, N. N.
1961
A grid method for the Navier-Stokes equations. Zbl 0148.21704
1966
On the solvability of unsteady motion problems in magnetohydrodynamics. Zbl 0091.19804
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1959
Stationary motion of viscous incompressible fluids in pipes. Zbl 0096.41302
1959
On the evolution of measures defined by the Navier-Stokes equations, and on the solvability of the Cauchy problem for Hopf’s statistical equation. Zbl 0338.35074
Vershik, A. M.; Ladyzhenskaya, O. A.
1976
On the free surface of a liquid over a solid sphere. Zbl 0354.76014
Ladyzhenskaya, O. A.; Osmolovskij, V. G.
1976
On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068
1995
Boundary value problems for mixed equations. Zbl 0269.35064
1973
On the unique solvability of the Cauchy problem for equations of two- dimensional relativistic chiral fields with values in complete Riemannian manifolds. Zbl 0482.58011
Ladyzhenskaya, O. A.; Shubov, V. I.
1981
Investigation of the Navier-Stokes equation for a stationary flow of an incompressible fluid. Zbl 0127.31703
1963
Über die Fourier-Methode für die Wellengleichung. Zbl 0041.21802
1950
On the construction of discontinuous solutions of quasi-linear hyperbolic equations as limits of the solutions of the respective parabolic equations when the “viscosity coefficient” is approaching zero. Zbl 0071.31203
1956
On the equations with small parameter at the higher derivatives in the linear partial differential equations. Zbl 0091.09501
1957
The mathematical theory of viscous incompressible flow. (Mathematische Fragen der Dynamik der zähen inkompressiblen Flüssigkeit. (Moderne Probleme der Mathematik).) Zbl 0106.39401
1961
Sur l’évolution des mesures déterminees par les équations de Navier- Stokes et la résolution du problème de Cauchy pour l’équation statistique de E. Hopf. Zbl 0377.35059
Ladyzhenskaya, O. A.; Vershik, A. M.
1977
On limit-states for the generalized Navier-Stokes equations in three dimensional space. Zbl 0414.35064
1979
Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
On a modification of Gehring’s lemma. Zbl 0979.35062
Arkhipova, A. A.; Ladyzhenskaya, O. A.
1999
On the global unique solvability of some two-dimensional problems for the water solutions of polymers. Zbl 0905.35066
1997
On inhomogeneous incompressible fluids and reverse Hölder inequalities. Zbl 1007.35082
1997
On a method of approximate solution of initial-boundary value problems for the Navier-Stokes equations. Zbl 0773.76024
Ladyzhenskaya, O. A.; Seregin, G. A.
1992
Example of nonuniqueness in the Hopf class of weak solutions for the Navier-Stokes equations. Zbl 0192.44604
1970
On some nonlinear problems in the theory of continuous media. Zbl 0194.41701
1968
Unique solvability in the large of three-dimensional Cauchy problem for the Navier-Stokes equations in the presence of axial symmetry. Zbl 0202.37302
1968
On the alternating directions method for the calculation in cylindrical coordinates of the flow of a viscous incompressible fluid. Zbl 0222.76024
Ladyzhenskaya, O. A.; Rivkind, V. Ya.
1971
Unique solvability of the Cauchy problem for the equations of the two- dimensional relativistic chiral fields, taking values in complete Riemann manifolds. Zbl 0531.58017
Ladyzhenskaya, O. A.; Shubov, V. I.
1984
Construction of bases in spaces of solenoidal vector fields. Zbl 1144.35018
2005
On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations. Zbl 1064.76118
Gunzburger, M. D.; Ladyzhenskaya, O. A.; Peterson, J. S.
2004
The sixth millennium problem: Navier-Stokes equations, existence and smoothness. Zbl 1062.35067
2003
On coercive estimates for solutions of linear systems of hydrodynamic type. Zbl 1068.35108
Ladyzhenskaya, O. A.; Shilkin, T. N.
2002
Relationship of the Stokes problem with decompositions of the spaces $${\overset\circ W}^1_2$$ and $$W^{(-1)}_2$$. Zbl 1006.35076
2002
Boundary value problems of mathematical physics and related problems of function theory. Part 30. Dedicated to N. N. Ural’tseva. Transl. from the Russian. Zbl 0988.00027
2002
On some gaps in two of my papers on the Navier-Stokes equations and the way of closing them. Zbl 1054.35054
2000
A theorem on multiplicators in nonhomogeneous Hölder spaces and some of its applications. Zbl 1025.47016
2000
Coercive estimates for solutions of linearizations of modified Navier-Stokes equations. Zbl 1047.35111
Ladyzhenskaya, O. A.; Seregin, G. A.
2000
Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026
Buslaev, V. S.; Vershik, A. M.; Gel&rsquo;fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R.
2000
On multiplicators in Hölder spaces with nonhomogeneous metric. Zbl 1006.35079
2000
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
On a modification of Gehring’s lemma. Zbl 0979.35062
Arkhipova, A. A.; Ladyzhenskaya, O. A.
1999
Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors. Zbl 0920.35113
Ladyzhenskaya, O. A.; Seregin, G. A.
1998
On the global unique solvability of some two-dimensional problems for the water solutions of polymers. Zbl 0905.35066
1997
On inhomogeneous incompressible fluids and reverse Hölder inequalities. Zbl 1007.35082
1997
On global existence of weak solutions to some 2-dimensional initial-boundary value problems for Maxwell fluids. Zbl 0894.35087
1997
In memory A. P. Oskolkov (1934-1995). Zbl 0904.01009
1997
Estimation of the second derivatives on the boundary for surfaces evolving under the influence of their principal curvatures. Zbl 0893.35053
Ivochkina, N. M.; Ladyzhenskaya, O. A.
1997
On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068
1995
Flows generated by symmetric functions of the eigenvalues of the Hessian. Zbl 0927.35047
Ivochkina, N. M.; Ladyzhenskaya, O. A.
1995
The first initial boundary-value problem for evolution equations generated by symmetric functions of principal curvatures. Zbl 0878.35061
Ivochkina, N. M.; Ladyzhenskaya, O. A.
1995
Flows generated by symmetric functions of the eigenvalues of the Hessian. Zbl 0888.35056
Ivochkina, N. M.; Ladyzhenskaya, O. A.
1995
Attractors for the modifications of the three-dimensional Navier-Stokes equations. Zbl 0807.35109
1994
On parabolic problems generated by some symmetric functions of the eigenvalues of the Hessian. Zbl 0826.35058
1994
The first initial-boundary value problem for evolution equations generated by traces of order $$m$$ of the Hessian of the unknown surface. Zbl 0852.35058
Ivochkina, N. M.; Ladyzhenskaya, O. A.
1994
On parabolic equations generated by symmetric functions of eigenvalues of the Hessian or by the principal curvatures of a surface. I: Parabolic Monge-Ampère equations. Zbl 0820.35083
Ivochkina, N. M.; Ladyzhenskaya, O. A.
1994
On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027
1993
First boundary value problem for the Navier-Stokes equations in domains with non smooth boundaries. Zbl 0744.35034
1992
On a method of approximate solution of initial-boundary value problems for the Navier-Stokes equations. Zbl 0773.76024
Ladyzhenskaya, O. A.; Seregin, G. A.
1992
On a method of approximation of initial boundary value problems for the Navier-Stokes equations. Zbl 0830.76019
Ladyzhenskaya, O. A.; Seregin, G. A.
1992
New estimates for the Navier-Stokes equations and global stable approximations. Zbl 0801.35106
1992
Attractors for semigroups and evolution equations. Zbl 0755.47049
1991
Attractors for quasilinear second-order parabolic equations of the general form. Zbl 0729.35066
1991
Some complements and specifications to my publications on the theory of attractors for abstract semigroups. Zbl 0737.47037
1990
Some complements and corrections to my papers on the theory of attractors for abstract semigroups. Zbl 0783.47054
1990
Attractors for fully nonlinear parabolic equations of second order. Zbl 0767.35034
1990
Estimates for the fractal dimension and the number of determining modes for invariant sets of dynamical systems. Zbl 0696.58041
1990
Estimates on the boundary of a domain for the first derivatives of functions satisfying an elliptic or parabolic inequality. Zbl 0707.35023
Ladyzhenskaya, O. A.; Ural&rsquo;tseva, N. N.
1989
Boundary value problems of mathematical physics. 13. Work collection. Transl. from the Russian. Zbl 0674.00021
1989
Attractors of nonlinear evolution problems with dissipation. Zbl 0645.35012
1988
On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations. Zbl 0687.35072
1987
Estimates of the fractal dimension and of the number of deterministic modes for invariant sets of dynamical sytsems. Zbl 0665.58039
1987
The life and scientific work of Vladimir Ivanovich Smirnov. Zbl 0653.01017
1987
Estimates of the Hölder constant for functions satisfying a uniformly elliptic or a uniformly parabolic quasilinear inequality with unbounded coefficients. Zbl 0614.35096
Ladyzhenskaya, O. A.; Ural&rsquo;tseva, N. N.
1987
A survey of results on the solvability of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities. Zbl 0639.35042
Ladyzhenskaya, O. A.; Ural&rsquo;tseva, N. N.
1986
Attractors of nonlinear evolution problems with dissipation. Zbl 0621.35023
1986
On some trends on investigations carried out in the Laboratory of mathematical physics at the Leningrad branch of the Mathematical institute. Zbl 0850.76129
1986
Boundary value problems in mathematical physics and adjacent problems of function theory. 18. Work collection. (Kraevye zadachi matematicheskoj fiziki i smezhnye voprosy teorii funktsij. 18. Sbornik rabot). Zbl 0595.00012
1986
The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater. Zbl 0588.35003
1985
Finite-dimensionality of bounded invariant sets for Navier-Stokes systems and other dissipative systems. Zbl 0561.76044
1985
Estimates of Hölder constants for functions satisfying a uniformly elliptic or uniformly parabolic quasilinear inequality with unbounded coefficients. Zbl 0596.35128
Ladyzhenskaya, O. A.; Ural&rsquo;tseva, N. N.
1985
Boundary value problems in mathematical physics and adjacent problems of function theory. 17. Work collection. (Kraevye zadachi matematicheskoj fiziki i smezhnye voprosy teorii funktsij. 17. Sbornik rabot). Zbl 0563.00009
1985
Boundary value problems in mathematical physics and adjacent problems of function theory. 16. Work collection. (Kraevye zadachi matematicheskoj fiziki i smezhnye voprosy teorii funktsij. 16. Sbornik rabot). Zbl 0533.00009
1984
Unique solvability of the Cauchy problem for the equations of the two- dimensional relativistic chiral fields, taking values in complete Riemann manifolds. Zbl 0531.58017
Ladyzhenskaya, O. A.; Shubov, V. I.
1984
On an initial-boundary value problem for linearized Navier-Stokes equations in domains with noncompact boundaries. Zbl 0541.35066
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1984
On estimates of $$\max | u_ x|$$ for solutions of quasilinear elliptic and parabolic equations of general form and on existence theorems. Zbl 0557.35009
Ladyzhenskaya, O. A.; Ural&rsquo;tseva, N. N.
1984
Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral. Zbl 0509.35066
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1983
Limit states for modified Navier-Stokes equations in three-dimensional space. Zbl 0515.35071
1983
Estimate of the Hölder norm of the solutions of second-order quasilinear elliptic equations of the general form. Zbl 0511.35012
Ladyzhenskaya, O. A.; Ural&rsquo;tseva, N. N.
1983
Boundary value problems of mathematical physics. 12. Work collection. (Kraevye zadachi matematicheskoj fiziki. 12. Sbornik rabot). Zbl 0497.00009
1983
On the initial-boundary value problem for linearized Navier-Stokes equations in domains with non-compact boundaries. Zbl 0522.35074
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1983
On Coleman’s principle for the determination of stationary points of invariant functionals. Zbl 0526.49004
Kapitanskij, L. V.; Ladyzhenskaya, O. A.
1983
On the finite dimensionality of bounded invariant sets for the Navier- Stokes system and other dissipative systems. Zbl 0535.76033
1982
On the solvability of boundary value and initial-boundary value problems for the Navier-Stokes equations in regions with noncompact boundaries. Zbl 0494.35078
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1982
On the unique solvability of the Cauchy problem for equations of two- dimensional relativistic chiral fields with values in complete Riemannian manifolds. Zbl 0482.58011
Ladyzhenskaya, O. A.; Shubov, V. I.
1981
Résolution des équations de Stokes et Navier-Stokes dans des tuyaux infinis. Zbl 0492.35062
Ladyzhenskaya, Olga A.; Solonnikov, Vsevolod A.; True, Hans
1981
Boundary value problems of mathematical physics and related questions in the theory of functions. 13. Work collection. (Краевые задачи математической физики и смежные вопросы теории функций. 13. Сборник работ.) Zbl 0467.00008
1981
On finding solutions of boundary value problems for stationary Stokes and Navier-Stokes equations which have an unbounded Dirichlet integral. Zbl 0463.35069
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1980
An estimate of the Hölder norm of solutions of quasilinear general elliptic equations of the second order. Zbl 0472.35018
Ladyzhenskaya, O. A.; Ural&rsquo;tseva, N. N.
1980
On limit-states for the generalized Navier-Stokes equations in three dimensional space. Zbl 0414.35064
1979
Determination of the solutions of Navier-Stokes stationary boundary-value problems with infinite dissipation in unbounded regions. Zbl 0437.76028
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1979
On formulation and solvability of boundary value problems for viscous incompressible fluids in domains with non-compact boundaries. Zbl 0411.76018
1979
The finding of solutions of stationary boundary value problems for Stokes and Navier-Stokes systems which have an infinite Dirichlet integral. Zbl 0441.35056
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1979
The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types. Zbl 0388.35039
Kalantarov, V. K.; Ladyzhenskaya, O. A.
1978
Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids. Zbl 0401.76037
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1978
Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Zbl 0388.35061
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1978
The evolution of measures determined by the Navier-Stokes equations and on the solvability of the Cauchy problem for the Hopf statistical equation. Zbl 0388.35060
Vershik, A. M.; Ladyzhenskaya, O. A.
1978
Blow-up theorems for quasilinear parabolic and hyperbolic equations. Zbl 0354.35054
Kalantarov, V. K.; Ladyzhenskaya, O. A.
1977
The linearization principle and invariant manifolds for problems of magnetohydrodynamics. Zbl 0404.35089
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1977
On the solvability of boundary and initial-boundary value problems for Navier-Stokes equations in domains with non-compact boundaries. Zbl 0377.35060
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1977
Sur l’évolution des mesures déterminees par les équations de Navier- Stokes et la résolution du problème de Cauchy pour l’équation statistique de E. Hopf. Zbl 0377.35059
Ladyzhenskaya, O. A.; Vershik, A. M.
1977
On some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Zbl 0346.35084
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1976
On the evolution of measures defined by the Navier-Stokes equations, and on the solvability of the Cauchy problem for Hopf’s statistical equation. Zbl 0338.35074
Vershik, A. M.; Ladyzhenskaya, O. A.
1976
On the free surface of a liquid over a solid sphere. Zbl 0354.76014
Ladyzhenskaya, O. A.; Osmolovskij, V. G.
1976
On the unique solvability of the initial value problem for viscous incompressible inhomogeneous fluids. Zbl 0354.76016
1976
A dynamical system generated by the Navier-Stokes equations. Zbl 0336.35081
1975
On the unique solvability of the initial value problem for viscous incompressible inhomogeneous fluids. Zbl 0376.76021
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1975
Mathematical analysis of Navier-Stokes equations for incompressible liquids. Zbl 0344.76014
1975
Über eine Verschärfung von Ergebnissen über die Lösbarkeit des Dirichletschen Problems für gleichmäßige elliptische quasilineare Gleichungen zweiter Ordnung. Zbl 0299.35045
Ivanov, A. V.; Ivochkina, N. M.; Ladyzhenskaya, O. A.
1975
Linear and quasilinear equations of elliptic type. 2nd revised ed. (Линейные и квазилинейные уравнения ѐллиптического типа.) Zbl 0269.35029
Ladyzhenskaya, O. A.; Ural&rsquo;tseva, N. N.
1973
Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity. Zbl 0285.76010
1973
Randwertprobleme der mathematischen Physik. (Kraevye zadaci matematiceskoi fiziki.) Lehrbuch. Zbl 0284.35001
1973
Boundary value problems for mixed equations. Zbl 0269.35064
1973
Über das Prinzip der Linearisierung und invariante Mannigfaltigkeiten für Probleme der Magnetohydrodynamik. Zbl 0348.35080
Ladyzhenskaya, O. A.; Solonnikov, V. A.
1973
Über ein dynamisches System, das durch die Navier-Stokesschen Gleichungen erzeugt wird. Zbl 0327.35064
1972
Dynamical system generated by the Navier-Stokes equations. Zbl 0301.35077
1972
On the alternating directions method for the calculation in cylindrical coordinates of the flow of a viscous incompressible fluid. Zbl 0222.76024
Ladyzhenskaya, O. A.; Rivkind, V. Ya.
1971
Randwertprobleme für Gleichungen gemischten Typs. Zbl 0243.35072
1971
...and 83 more Documents
all top 5

### Cited by 5,050 Authors

 61 Nazarov, Sergeĭ Aleksandrovich 47 Oskolkov, Anatolii Petrovich 46 Papageorgiou, Nikolaos S. 45 Pileckas, Konstantin 39 Solonnikov, Vsevolod Alekseevich 38 Repin, Sergeĭ Igorevich 35 Seregin, Gregory A. 24 Ladyzhenskaya, Ol’ga Aleksandrovna 24 Rojas-Medar, Marko Antonio 23 Beirão da Veiga, Hugo 23 Robinson, James Cooper 23 Titi, Edriss Saleh 23 Zhao, Caidi 22 Antontsev, Stanislav Nikolaevich 22 Maremonti, Paolo 21 Kalantarov, Varga K. 21 Lieberman, Gary M. 21 Temam, Roger Meyer 20 Mohan, Manil Thankamani 19 Farwig, Reinhard 19 Galdi, Giovanni Paolo 18 Chueshov, Igor’ Dmitrievich 17 Caraballo Garrido, Tomás 17 Langa, Jose’ Antonio 17 Málek, Josef 16 Dong, Boqing 16 Fuchs, Martin 16 O’Riordan, Eugene 16 Zhou, Shengfan 15 Kamynin, Vitaly Leonidovich 15 Korpusov, Maksim Olegovich 15 Kozhanov, Aleksandr Ivanovich 15 Mucha, Piotr Bogusław 15 Neustupa, Jiří 15 Šverák, Vladimír 14 Choe, Hi Jun 14 Foiaș, Ciprian 14 He, Yinnian 14 Kang, Kyungkeun 14 Nolasco de Carvalho, Alexandre 14 Tan, Zhong 14 Trudinger, Neil Sidney 13 Berselli, Luigi Carlo 13 Byun, Sun-Sig 13 Fiedler, Bernold 13 Gasiński, Leszek 13 Giga, Yoshikazu 13 Kim, Jaemyoung 13 Klibanov, Michael V. 13 Valero, José 13 Vishik, Marko Iosifovich 13 Yang, Xinguang 12 Guo, Boling 12 Ivanov, Aleksandr Vasil’evich 12 Kozono, Hideo 12 Lasiecka, Irena 12 Palagachev, Dian K. 12 Panasenko, Grigory P. 12 Sritharan, Sivaguru S. 12 Wolf, Jörg 12 Zajączkowski, Wojciech M. 11 Arkhipova, Arina A. Arkhipova 11 Chechkin, Gregory Aleksandrovich 11 Chepyzhov, Vladimir V. 11 Feireisl, Eduard 11 Fernández-Cara, Enrique 11 Guo, Hui 11 He, Cheng 11 Ivanauskas, Feliksas. F. 11 Kostin, Andrey B. 11 Krylov, Nicolaĭ Vladimirovich 11 Nečasová, Šárka 11 Padula, Mariarosaria 11 Rosa, Ricardo M. S. 11 Sheu, Tony Wen-Hann 11 Wang, Yanjin 11 Zelik, Sergey V. 11 Zvyagin, Viktor Grigor’evich 10 Amirat, Youcef Aït 10 Bulíček, Miroslav 10 Chen, Zhimin 10 Chernov, Andreĭ Vladimirovich 10 Frehse, Jens 10 Gracia, José Luis 10 Hasanoǧlu, Alemdar 10 Kasyanov, Pavlo O. 10 Meirmanov, Anvarbek Mukatovich 10 Mingione, Giuseppe 10 Orlov, Vladimir P. 10 Piatnitski, Andrey L. 10 Power, Henry 10 Qin, Yuming 10 Rocha, Carlos 10 Russo, Remigio 10 Varnhorn, Werner 10 Wang, Yanqing 10 Zhang, Ping 10 Zhang, Zhifei 10 Zlotnik, Alexander A. 9 Ashyralyev, Allaberen ...and 4,950 more Authors
all top 5

### Cited in 473 Serials

 344 Journal of Mathematical Analysis and Applications 303 Journal of Differential Equations 228 Journal of Mathematical Sciences (New York) 223 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 123 Archive for Rational Mechanics and Analysis 120 Journal of Soviet Mathematics 117 Siberian Mathematical Journal 102 Mathematical Notes 88 Nonlinear Analysis. Theory, Methods & Applications 77 Applied Mathematics and Computation 73 Mathematical Methods in the Applied Sciences 72 Computers & Mathematics with Applications 69 Journal of Mathematical Fluid Mechanics 61 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 60 Journal of Functional Analysis 59 Journal of Computational and Applied Mathematics 57 Communications in Partial Differential Equations 53 Ukrainian Mathematical Journal 53 Journal de Mathématiques Pures et Appliquées. Neuvième Série 52 Annali di Matematica Pura ed Applicata. Serie Quarta 50 Journal of Computational Physics 49 Applied Mathematics Letters 49 Nonlinear Analysis. Real World Applications 48 Communications in Mathematical Physics 47 Journal of Applied Mathematics and Mechanics 47 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 45 Applicable Analysis 45 Computer Methods in Applied Mechanics and Engineering 44 Journal of Mathematical Physics 44 Transactions of the American Mathematical Society 43 Rendiconti del Seminario Matematico della Università di Padova 43 Computational Mathematics and Mathematical Physics 41 Calculus of Variations and Partial Differential Equations 40 Discrete and Continuous Dynamical Systems 38 Boundary Value Problems 37 Differential Equations 35 Lithuanian Mathematical Journal 35 Mathematische Zeitschrift 33 ZAMP. Zeitschrift für angewandte Mathematik und Physik 32 Journal of Fluid Mechanics 32 Journal of Dynamics and Differential Equations 30 Zeitschrift für Analysis und ihre Anwendungen 30 Acta Applicandae Mathematicae 29 International Journal of Engineering Science 29 Physica D 29 Abstract and Applied Analysis 28 Doklady Mathematics 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 27 Discrete and Continuous Dynamical Systems. Series B 27 Communications on Pure and Applied Analysis 26 Mathematics of Computation 24 Mathematische Annalen 23 Applied Mathematics and Optimization 23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 23 SIAM Journal on Mathematical Analysis 22 Proceedings of the American Mathematical Society 21 Numerical Functional Analysis and Optimization 21 St. Petersburg Mathematical Journal 21 NoDEA. Nonlinear Differential Equations and Applications 21 Engineering Analysis with Boundary Elements 20 Applied Numerical Mathematics 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Proceedings of the Steklov Institute of Mathematics 19 International Journal for Numerical Methods in Fluids 19 Manuscripta Mathematica 19 Mathematische Nachrichten 19 Numerische Mathematik 19 Applications of Mathematics 19 Russian Mathematics 19 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 18 Journal of Inverse and Ill-Posed Problems 17 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 16 Acta Mathematicae Applicatae Sinica. English Series 16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 16 Communications in Contemporary Mathematics 16 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 16 Advances in Nonlinear Analysis 15 Computers and Fluids 15 Fluid Dynamics 15 Advances in Mathematics 15 Functional Analysis and its Applications 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Evolution Equations and Control Theory 14 Communications on Pure and Applied Mathematics 14 Meccanica 14 Numerical Methods for Partial Differential Equations 14 Sbornik: Mathematics 14 Acta Mathematica Sinica. English Series 13 Theoretical and Mathematical Physics 13 RAIRO. Modélisation Mathématique et Analyse Numérique 13 Mathematical and Computer Modelling 13 Stochastic Processes and their Applications 13 Cybernetics and Systems Analysis 13 Discrete and Continuous Dynamical Systems. Series S 13 Journal of Siberian Federal University. Mathematics & Physics 12 Acta Mathematica 12 Annales de l’Institut Fourier 12 The Annals of Probability 12 Chinese Annals of Mathematics. Series B 12 Applied Mathematical Modelling ...and 373 more Serials
all top 5

### Cited in 52 Fields

 4,231 Partial differential equations (35-XX) 2,070 Fluid mechanics (76-XX) 618 Numerical analysis (65-XX) 329 Calculus of variations and optimal control; optimization (49-XX) 314 Mechanics of deformable solids (74-XX) 273 Dynamical systems and ergodic theory (37-XX) 216 Operator theory (47-XX) 169 Probability theory and stochastic processes (60-XX) 161 Ordinary differential equations (34-XX) 133 Functional analysis (46-XX) 133 Systems theory; control (93-XX) 119 Global analysis, analysis on manifolds (58-XX) 119 Classical thermodynamics, heat transfer (80-XX) 107 Biology and other natural sciences (92-XX) 71 Integral equations (45-XX) 70 Statistical mechanics, structure of matter (82-XX) 65 Differential geometry (53-XX) 65 Geophysics (86-XX) 60 Optics, electromagnetic theory (78-XX) 39 Real functions (26-XX) 36 Quantum theory (81-XX) 34 Potential theory (31-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Mechanics of particles and systems (70-XX) 20 Measure and integration (28-XX) 20 Functions of a complex variable (30-XX) 17 Operations research, mathematical programming (90-XX) 13 History and biography (01-XX) 13 Difference and functional equations (39-XX) 13 General topology (54-XX) 11 Statistics (62-XX) 10 Computer science (68-XX) 10 Relativity and gravitational theory (83-XX) 9 Approximations and expansions (41-XX) 9 Information and communication theory, circuits (94-XX) 7 General and overarching topics; collections (00-XX) 7 Astronomy and astrophysics (85-XX) 6 Integral transforms, operational calculus (44-XX) 6 Manifolds and cell complexes (57-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 4 Algebraic topology (55-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.