-
1
-
-
0001356905
-
Sur la géométrie differentielle des groupes de Lie de dimenson infinie et ses applications à l'hydrodynamique des fluids parfaits
-
Arnold V.I. Sur la géométrie differentielle des groupes de Lie de dimenson infinie et ses applications à l'hydrodynamique des fluids parfaits. Ann. Inst. Fourier Grenoble. 16:1966;319-361.
-
(1966)
Ann. Inst. Fourier Grenoble
, vol.16
, pp. 319-361
-
-
Arnold, V.I.1
-
2
-
-
0003356898
-
Topological Methods in Hydrodynamics
-
Springer, Berlin
-
V.I. Arnold, B. Khesin, Topological Methods in Hydrodynamics, Springer, Berlin, Appl. Math. Sci. 125 (1998).
-
(1998)
Appl. Math. Sci.
, vol.125
-
-
Arnold, V.I.1
Khesin, B.2
-
3
-
-
0007028841
-
Optimal control, optimization, and analytical mechanics
-
Springer, New York
-
A.M. Bloch, P.E. Crouch, Optimal control, optimization, and analytical mechanics, Mathematical Control Theory, Springer, New York, 1999, pp. 268-321.
-
(1999)
Mathematical Control Theory
, pp. 268-321
-
-
Bloch, A.M.1
Crouch, P.E.2
-
5
-
-
1842490208
-
Reduction in principal fiber bundles: Covariant Euler-Poincaré equations
-
Castrillón-López M., Ratiu T.S., Shkoller S. Reduction in principal fiber bundles: covariant Euler-Poincaré equations. Proc. Am. Math. Soc. 128(7):2000;2155-2164.
-
(2000)
Proc. Am. Math. Soc.
, vol.128
, Issue.7
, pp. 2155-2164
-
-
Castrillón-López, M.1
Ratiu, T.S.2
Shkoller, S.3
-
6
-
-
0347786769
-
Numerical study of slightly viscous flow
-
Chorin A. Numerical study of slightly viscous flow. J. Fluid Mech. 57:1973;785-796.
-
(1973)
J. Fluid Mech.
, vol.57
, pp. 785-796
-
-
Chorin, A.1
-
7
-
-
0001052255
-
Groups of diffeomorphisms and the motion of an incompressible fluid
-
Ebin D.G., Marsden J.E. Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. Math. 92:1970;102-163.
-
(1970)
Ann. Math.
, vol.92
, pp. 102-163
-
-
Ebin, D.G.1
Marsden, J.E.2
-
8
-
-
0042640619
-
Stress-energy-momentum tensors in higher order variational calculus
-
Fernández A., García P.L., Rodrigo C. Stress-energy-momentum tensors in higher order variational calculus. J. Geom. Phys. 34:2000;41-72.
-
(2000)
J. Geom. Phys.
, vol.34
, pp. 41-72
-
-
Fernández, A.1
García, P.L.2
Rodrigo, C.3
-
10
-
-
0000404154
-
Stress-energy-momentum tensors and the Belifante-Resenfeld formula
-
Gotay M.J., Marsden J.E. Stress-energy-momentum tensors and the Belifante-Resenfeld formula. Cont. Math. AMS. 132:1992;367-392.
-
(1992)
Cont. Math. AMS
, vol.132
, pp. 367-392
-
-
Gotay, M.J.1
Marsden, J.E.2
-
11
-
-
0001971504
-
The Euler-Poincaré equations and semidirect products with applications to continuum theories
-
Holm D.D., Marsden J.E., Ratiu T.S. The Euler-Poincaré equations and semidirect products with applications to continuum theories. Adv. Math. 137:1998;1-81.
-
(1998)
Adv. Math.
, vol.137
, pp. 1-81
-
-
Holm, D.D.1
Marsden, J.E.2
Ratiu, T.S.3
-
13
-
-
0003973167
-
-
Springer, Berlin
-
J. Kijowski, W. Tulczyjew, A Symplectic Framework for Field Theories, Springer Lecture Notes in Physics, Vol. 107, Springer, Berlin, 1979.
-
(1979)
A Symplectic Framework for Field Theories, Springer Lecture Notes in Physics
, vol.107
-
-
Kijowski, J.1
Tulczyjew, W.2
-
14
-
-
0043124933
-
A variational approach to second-order multisymplectic field theory
-
S. Kouranbaeva, S. Shkoller, A variational approach to second-order multisymplectic field theory, J. Geom. Phys. 35 (2000) 333-366.
-
(2000)
J. Geom. Phys.
, vol.35
, pp. 333-366
-
-
Kouranbaeva, S.1
Shkoller, S.2
-
15
-
-
0030211002
-
The geometry of the Gibbs-Appell equations and Gauss's principle of least constraint
-
Lewis A.D. The geometry of the Gibbs-Appell equations and Gauss's principle of least constraint. Rep. Math. Phys. 38:1996;11-28.
-
(1996)
Rep. Math. Phys.
, vol.38
, pp. 11-28
-
-
Lewis, A.D.1
-
16
-
-
0001707439
-
Variational principles for constrained systems: Theory and experiment
-
Lewis A.D., Murray R.M. Variational principles for constrained systems: theory and experiment. Int. J. Nonlinear Mech. 30:1995;793-815.
-
(1995)
Int. J. Nonlinear Mech.
, vol.30
, pp. 793-815
-
-
Lewis, A.D.1
Murray, R.M.2
-
17
-
-
0034340379
-
A covariant constitutive approach to finite plasticity
-
J. Lu, P. Papadopoulos, A covariant constitutive approach to finite plasticity, Z. Angew. Math. Phys. 51 (2000) 204-217; in: Proceedings of the Eighth International Symposium on Plasticity, in press.
-
(2000)
Z. Angew. Math. Phys.
, vol.51
, pp. 204-217
-
-
Lu, J.1
Papadopoulos, P.2
-
20
-
-
0003849707
-
-
Prentice-Hall, Englewood Cliffs, NJ, (reprinted by Dover, New York)
-
J.E. Marsden, T.J.R. Hughes, Mathematical Foundations of Elasticity, Prentice-Hall, Englewood Cliffs, NJ, 1994 (reprinted by Dover, New York).
-
(1994)
Mathematical Foundations of Elasticity
-
-
Marsden, J.E.1
Hughes, T.J.R.2
-
21
-
-
0032476963
-
Multisymplectic geometry, variational integrators, and nonlinear PDEs
-
Marsden J.E., Patrick G.W., Shkoller S. Multisymplectic geometry, variational integrators, and nonlinear PDEs. Commun. Math. Phys. 199:1998;351-395.
-
(1998)
Commun. Math. Phys.
, vol.199
, pp. 351-395
-
-
Marsden, J.E.1
Patrick, G.W.2
Shkoller, S.3
-
22
-
-
0041635877
-
-
Preprint
-
J.E. Marsden, S. Pekarsky, S. Shkoller, M. West, Multisymplectic continuum mechanics in Euclidean spaces, 2000, Preprint.
-
(2000)
Multisymplectic Continuum Mechanics in Euclidean Spaces
-
-
Marsden, J.E.1
Pekarsky, S.2
Shkoller, S.3
West, M.4
-
23
-
-
0034407954
-
The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
-
Marsden J.E., Ratiu T.S., Shkoller S. The geometry and analysis of the averaged Euler equations and a new diffeomorphism group. Geom. Funct. Anal. 10:2000;582-599.
-
(2000)
Geom. Funct. Anal.
, vol.10
, pp. 582-599
-
-
Marsden, J.E.1
Ratiu, T.S.2
Shkoller, S.3
-
24
-
-
0003643366
-
-
2nd Edition, Springer, Berlin
-
J.E. Marsden, T.S. Ratiu, Introduction to Mechanics and Symmetry, Texts in Applied Mathematics, Vol. 17, 2nd Edition, Springer, Berlin, 1999.
-
(1999)
Introduction to Mechanics and Symmetry, Texts in Applied Mathematics
, vol.17
-
-
Marsden, J.E.1
Ratiu, T.S.2
-
25
-
-
0013039699
-
Multisymplectic geometry, covariant Hamiltonians, and waterwaves
-
Marsden J.E., Shkoller S. Multisymplectic geometry, covariant Hamiltonians, and waterwaves. Math. Proc. Camb. Phil. Soc. 125:1999;553-575.
-
(1999)
Math. Proc. Camb. Phil. Soc.
, vol.125
, pp. 553-575
-
-
Marsden, J.E.1
Shkoller, S.2
-
27
-
-
0002936313
-
1 metric and mean hydrodynamics
-
1 metric and mean hydrodynamics J. Funct. Anal. 160:1998;337-365.
-
(1998)
J. Funct. Anal.
, vol.160
, pp. 337-365
-
-
Shkoller, S.1
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