-
1
-
-
0000307085
-
On an inequality of Lieb and Thirring
-
[1]
-
[1] Araki H., On an inequality of Lieb and Thirring, Lett. Math. Phys., 19, 167—170, 1990.
-
(1990)
Lett. Math. Phys
, vol.19
, pp. 167-170
-
-
Araki, H.1
-
2
-
-
0004227819
-
-
[2] Nauka, Moscow, English transl,, North-Holland, Amsterdam, 1992
-
[2] Babin A.V. and Vishik M.I., Attractors of Evolution Equations, Nauka, Moscow, English transl,1988, North-Holland, Amsterdam, 1992.
-
(1988)
Attractors of Evolution Equations
-
-
Babin, A.V.1
Vishik, M.I.2
-
3
-
-
0001219545
-
Existence of solutions to the Charney model of the gulf stream
-
[3]
-
[3] Barcilon V., Constantin P., and Titi E.S., Existence of solutions to the Charney model of the gulf stream, SIAM J. Math. Anal., 19, 1355—1364, 1988.
-
(1988)
SIAM J. Math. Anal
, vol.19
, pp. 1355-1364
-
-
Barcilon, V.1
Constantin, P.2
Titi, E.S.3
-
4
-
-
0033245822
-
The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom
-
[4]
-
[4] Cao C., Rammaha M. A., and Titi E.S. The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom, Z. angew. Math. Phys., 50, 341—360, 1999.
-
(1999)
Z. angew. Math. Phys
, vol.50
, pp. 341-360
-
-
Cao, C.1
Rammaha, M. A.2
Titi, E.S.3
-
6
-
-
1842510054
-
Hopf bifurcation in quasi-geostrophic channel flow
-
[6]
-
[6] Chen Z. M., Ghil M., Simonnet E., and Wang S., Hopf bifurcation in quasi-geostrophic channel flow, SIAM J. Appl. Math., 64(1), 343—368, 2004.
-
(2004)
SIAM J. Appl. Math
, vol.64
, Issue.1
, pp. 343-368
-
-
Chen, Z. M.1
Ghil, M.2
Simonnet, E.3
Wang, S.4
-
7
-
-
0035341690
-
A note on the fractal dimension of attractors of dissipative dynamical systems
-
[7]
-
[7] Chepyzhov V.V. and Ilyin A.A., A note on the fractal dimension of attractors of dissipative dynamical systems, Nonlinear Anal., 44, 811—819, 2001.
-
(2001)
Nonlinear Anal
, vol.44
, pp. 811-819
-
-
Chepyzhov, V.V.1
Ilyin, A.A.2
-
8
-
-
2142717291
-
On the fractal dimension of invariant sets; applications to Navier-Stokes equations
-
[8]
-
[8] Chepyzhov V.V. and Ilyin A.A., On the fractal dimension of invariant sets; applications to Navier-Stokes equations, Discrete and Continuous Dynamical Systems, 10, 117—135, 2004.
-
(2004)
Discrete and Continuous Dynamical Systems
, vol.10
, pp. 117-135
-
-
Chepyzhov, V.V.1
Ilyin, A.A.2
-
9
-
-
0039459032
-
Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems
-
[9]
-
[9] Cockburn B., Jones D. and Titi E.S., Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems, Mathematics of Computation, 66, 1073—1087, 1997.
-
(1997)
Mathematics of Computation
, vol.66
, pp. 1073-1087
-
-
Cockburn, B.1
Jones, D.2
Titi, E.S.3
-
10
-
-
84990581938
-
Global Lyapunov exponents, Kaplan-Yorke formulas and the di-mension of the attractors for the 2D Navier-Stokes equations
-
[10]
-
[10] Constantin P. and Foias C., Global Lyapunov exponents, Kaplan-Yorke formulas and the di-mension of the attractors for the 2D Navier-Stokes equations, Comm. Pure Appl. Math., 38, 1—27, 1985.
-
(1985)
Comm. Pure Appl. Math
, vol.38
, pp. 1-27
-
-
Constantin, P.1
Foias, C.2
-
12
-
-
0023999086
-
On the dimension of the attractors in two-dimensional turbulence
-
[12]
-
[12] Constantin P., Foias C., and Temam R., On the dimension of the attractors in two-dimensional turbulence, Physica D, 30, 284—296, 1988.
-
(1988)
Physica D
, vol.30
, pp. 284-296
-
-
Constantin, P.1
Foias, C.2
Temam, R.3
-
14
-
-
0003610387
-
-
[14] Cam-bridge, UK, Cambridge Univ. Press
-
[14] Foias C., Manely O., Rosa R. and Temam R., Navier-Stokes Equations and Turbulence, Cam-bridge, UK, Cambridge Univ. Press, 2001.
-
(2001)
Navier-Stokes Equations and Turbulence
-
-
Foias, C.1
Manely, O.2
Rosa, R.3
Temam, R.4
-
15
-
-
0002449201
-
Sur le comportement global des solutions non stationnaires des equations de Navier-Stokes en dimension two
-
[15]
-
[15] Foias C. and Prodi G., Sur le comportement global des solutions non stationnaires des equations de Navier-Stokes en dimension two, Rend. Sem. Mat. Univ. Padova, 39, 1—34, 1967.
-
(1967)
Rend. Sem. Mat. Univ. Padova
, vol.39
, pp. 1-34
-
-
Foias, C.1
Prodi, G.2
-
16
-
-
84966204481
-
Determination of the solutions of the Navier-Stokes equations by a set of nodal values
-
[16]
-
[16] Foias C. and Temam R., Determination of the solutions of the Navier-Stokes equations by a set of nodal values, Mathematics of Computation, 43, 117—133, 1984.
-
(1984)
Mathematics of Computation
, vol.43
, pp. 117-133
-
-
Foias, C.1
Temam, R.2
-
18
-
-
2442451744
-
-
[18] Ph.D. Thesis, Department of Mathematics, University of California, Irvine
-
[18] Hauk S., The Long-term Behavior of the Stommel-Charney Model of the Gulf Stream, an An-alytical and Computational Study, Ph.D. Thesis, Department of Mathematics, University of California, Irvine, 1997.
-
(1997)
The Long-term Behavior of the Stommel-Charney Model of the Gulf Stream, an An-alytical and Computational Study
-
-
Hauk, S.1
-
20
-
-
84963009251
-
Lieb-Thirring inequalities on the N-sphere and in the plane, and some applications
-
[20]
-
[20] Ilyin A.A., Lieb-Thirring inequalities on the N-sphere and in the plane, and some applications,Proc. London Math. Soc., 67, 159—182, 1993.
-
(1993)
Proc. London Math. Soc
, vol.67
, pp. 159-182
-
-
Ilyin, A.A.1
-
21
-
-
45149091881
-
The Euler equations with dissipation
-
[21] English transl. in Math. USSR, Sbornik, 74 2, 475—486, 1993
-
[21] Ilyin A.A., The Euler equations with dissipation, Mat. Sbornik, 182, no. 12, 1729—1739, 1991 English transl. in Math. USSR, Sbornik, 74, no. 2, 475—486, 1993.
-
(1991)
Mat. Sbornik
, vol.182
, Issue.12
, pp. 1729-1739
-
-
Ilyin, A.A.1
-
22
-
-
0043047810
-
Partly dissipative semigroups generated by the Navier-Stokes system on two-dimensional manifolds and their attractors
-
[22] English transl. in Russ. Acad. Sci. Sb. Math., 78 1, 47—76, 1993
-
[22] Ilyin A.A., Partly dissipative semigroups generated by the Navier-Stokes system on two-dimensional manifolds and their attractors, Mat. Sbornik, 184, no. 1, 55—88, 1993. English transl. in Russ. Acad. Sci. Sb. Math., 78, no. 1, 47—76, 1993.
-
(1993)
Mat. Sbornik
, vol.184
, Issue.1
, pp. 55-88
-
-
Ilyin, A.A.1
-
23
-
-
15844380225
-
Attractors to the two-dimensional Navier-Stokes-a models: an ®-dependence study
-
[23]
-
[23] Ilyin A.A. and Titi E.S., Attractors to the two-dimensional Navier-Stokes-a models: an ®-dependence study, J. Dynam. Differential Equations, 15, 751—778, 2003.
-
(2003)
J. Dynam. Differential Equations
, vol.15
, pp. 751-778
-
-
Ilyin, A.A.1
Titi, E.S.2
-
24
-
-
38249013027
-
On the number of determining nodes for the 2-D Navier-Stokes equa-tions
-
[24]
-
[24] Jones D. and Titi E.S., On the number of determining nodes for the 2-D Navier-Stokes equa-tions, Journal of Mathematical Analysis & Applications, 168, 72—88, 1992.
-
(1992)
Journal of Mathematical Analysis & Applications
, vol.168
, pp. 72-88
-
-
Jones, D.1
Titi, E.S.2
-
25
-
-
0000646281
-
Upper bounds on the number of determining modes, nodes, and volume elements for the Navier-Stokes equations
-
[25]
-
[25] Jones D. and Titi E.S., Upper bounds on the number of determining modes, nodes, and volume elements for the Navier-Stokes equations, Indiana University Mathematics Journal, 42, 875—887, 1993.
-
(1993)
Indiana University Mathematics Journal
, vol.42
, pp. 875-887
-
-
Jones, D.1
Titi, E.S.2
-
27
-
-
0002624077
-
Inequalities for the moments of the eigenvalues of the Schrodinger Hamiltonian and their relation to Sobolev inequalities
-
[27] Princeton University Press
-
[27] Lieb E. and Thirring W., Inequalities for the moments of the eigenvalues of the Schrodinger Hamiltonian and their relation to Sobolev inequalities, Studies in Mathematical Physics. Essays in honor of Valentine Bargmann, Princeton University Press, 269—303, 1976.
-
(1976)
Studies in Mathematical Physics. Essays in honor of Valentine Bargmann
, pp. 269-303
-
-
Lieb, E.1
Thirring, W.2
-
28
-
-
21344481767
-
A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations
-
[28]
-
[28] Liu V.X., A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations, Comm. Math. Phys., 158, 327—339, 1993.
-
(1993)
Comm. Math. Phys
, vol.158
, pp. 327-339
-
-
Liu, V.X.1
-
29
-
-
0001491795
-
Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
-
[29] English transl. in J. Appl. Math. Mech., 25, 1961
-
[29] Meshalkin L.D. and Sinai Ya. G., Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid, Prikl. Mat. Mekh., 25, 1140—1143, 1961. English transl. in J. Appl. Math. Mech., 25, 1961.
-
(1961)
Prikl. Mat. Mekh
, vol.25
, pp. 1140-1143
-
-
Meshalkin, L.D.1
Sinai, Ya. G.2
-
32
-
-
84972526000
-
Remarks on the damped stationary Euler equations
-
[32]
-
[32] Saut J.-C., Remarks on the damped stationary Euler equations, Di®. Int. Equations, 3, 801—812,1990.
-
(1990)
Di®. Int. Equations
, vol.3
, pp. 801-812
-
-
Saut, J.-C.1
-
36
-
-
84990581478
-
Existence, uniqueness, and stability of stationary barotropic flow with forcing and dissipation
-
[36]
-
[36] Wolansky G., Existence, uniqueness, and stability of stationary barotropic flow with forcing and dissipation, Comm. Pure Appl. Math., 41, 19—46, 1988.
-
(1988)
Comm. Pure Appl. Math
, vol.41
, pp. 19-46
-
-
Wolansky, G.1
-
37
-
-
0040102793
-
Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid
-
[37] English transl. in J. Appl. Math. Mech., 29, 1965
-
[37] Yudovich V.I., Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid, Prikl. Mat. Mekh., 29, 453—467, 1965. English transl. in J. Appl. Math. Mech., 29, 1965.
-
(1965)
Prikl. Mat. Mekh
, vol.29
, pp. 453-467
-
-
Yudovich, V.I.1
-
38
-
-
0002266080
-
Optimal bounds on the dimension of attractors for the Navier-Stokes equations
-
[38]
-
[38] Ziane, M., Optimal bounds on the dimension of attractors for the Navier-Stokes equations,Physica D, 105, 1—19, 1997.
-
(1997)
Physica D
, vol.105
, pp. 1-19
-
-
Ziane, M.1
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