-
2
-
-
5944246712
-
The special cosserat theory of rods
-
Springer-Verlag, Berlin
-
S. ANTMAN, The special cosserat theory of rods, in Nonlinear Problems of Elasticity, Springer-Verlag, Berlin, 1995.
-
(1995)
Nonlinear Problems of Elasticity
-
-
Antman, S.1
-
3
-
-
0025414974
-
The intricate global structure of buckled states of compressible columns
-
S. ANTMAN AND J. PIERCE, The intricate global structure of buckled states of compressible columns, SIAM J. Appl. Math., 50 (1990), pp. 395-419.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 395-419
-
-
Antman, S.1
Pierce, J.2
-
4
-
-
0010040577
-
The behavior of the total twist and self-linking number of a closed space curve under inversions
-
T. BANCHOFF AND J. WHITE, The behavior of the total twist and self-linking number of a closed space curve under inversions, Math. Scand., 36 (1975), pp. 254-262.
-
(1975)
Math. Scand.
, vol.36
, pp. 254-262
-
-
Banchoff, T.1
White, J.2
-
5
-
-
0019153919
-
Supercoiled DNA
-
July
-
W. BAUER, F. CRICK, AND J. WHITE, Supercoiled DNA, Sci. Amer., July (1980), pp. 118-133.
-
(1980)
Sci. Amer.
, pp. 118-133
-
-
Bauer, W.1
Crick, F.2
White, J.3
-
6
-
-
0001105208
-
There is more than one way to frame a curve
-
R. BISHOP, There is more than one way to frame a curve, Amer. Math. Monthly, 82 (1975), pp. 246-251.
-
(1975)
Amer. Math. Monthly
, vol.82
, pp. 246-251
-
-
Bishop, R.1
-
9
-
-
0001443491
-
Sur les classes d'isotopie des noeuds tridimensionnels et leurs invariants
-
G. CALUGAREANU, Sur les classes d'isotopie des noeuds tridimensionnels et leurs invariants, Czechoslovak Math. J., 11 (1961), pp. 588-625.
-
(1961)
Czechoslovak Math. J.
, vol.11
, pp. 588-625
-
-
Calugareanu, G.1
-
10
-
-
51149213194
-
Exact solution to localized-induction-approximation equation modeling smoke ring motion
-
J. CIESLINSKI, P. GRAOERT, AND A. SYM, Exact solution to localized-induction-approximation equation modeling smoke ring motion, Phys. Rev. Lett., 57 (1986), pp. 1507-1510.
-
(1986)
Phys. Rev. Lett.
, vol.57
, pp. 1507-1510
-
-
Cieslinski, J.1
Graoert, P.2
Sym, A.3
-
11
-
-
21144475420
-
On the dynamics of rods in the theory of Kirchhoff and Clebsch
-
B. COLEMAN, E. DILL, M. LEMBO, Z. LU, AND I. TOBIAS, On the dynamics of rods in the theory of Kirchhoff and Clebsch, Arch. Rational Mech. Anal., 121 (1992), pp. 339-359.
-
(1992)
Arch. Rational Mech. Anal.
, vol.121
, pp. 339-359
-
-
Coleman, B.1
Dill, E.2
Lembo, M.3
Lu, Z.4
Tobias, I.5
-
12
-
-
0000287170
-
An elementary geometric characterization of the integrable motions of a curve
-
A. DOLIWA AND P. SANTINI, An elementary geometric characterization of the integrable motions of a curve, Phys. Lett. A, 185 (1994), pp. 373-384.
-
(1994)
Phys. Lett. A
, vol.185
, pp. 373-384
-
-
Doliwa, A.1
Santini, P.2
-
13
-
-
0000018441
-
N-solitons on a curved vortex filament
-
Y. FUKOMOTO AND T. MIYAZAKI, N-solitons on a curved vortex filament, J. Phys. Soc. Japan, 55 (1986), pp. 4152-4155.
-
(1986)
J. Phys. Soc. Japan
, vol.55
, pp. 4152-4155
-
-
Fukomoto, Y.1
Miyazaki, T.2
-
14
-
-
0015040327
-
The writhing number of a space curve
-
B. FULLER, The writhing number of a space curve, Proc. Nat Acad. Sci. U.S.A., 68 (1971), pp. 815-819.
-
(1971)
Proc. Nat Acad. Sci. U.S.A.
, vol.68
, pp. 815-819
-
-
Fuller, B.1
-
15
-
-
0001678450
-
The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane
-
R. GOLDSTEIN AND D. PETRICH, The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane, Phys. Rev. Lett., 67 (1991), pp. 3203-3206.
-
(1991)
Phys. Rev. Lett.
, vol.67
, pp. 3203-3206
-
-
Goldstein, R.1
Petrich, D.2
-
16
-
-
0000774509
-
Motion of a vortex filament and its relation to elastica
-
H. HASIMOTO, Motion of a vortex filament and its relation to elastica, J. Phys. Soc. Japan, 31 (1971), pp. 293-294.
-
(1971)
J. Phys. Soc. Japan
, vol.31
, pp. 293-294
-
-
Hasimoto, H.1
-
17
-
-
84974277983
-
A soliton on a vortex filament
-
_, A soliton on a vortex filament, J. Fluid Mech., 51 (1972), pp. 477-485.
-
(1972)
J. Fluid Mech.
, vol.51
, pp. 477-485
-
-
-
18
-
-
0019633372
-
A vortex filament moving without change of form
-
S. KIDA, A vortex filament moving without change of form, J. Fluid Mech., 112 (1981), pp. 397-409.
-
(1981)
J. Fluid Mech.
, vol.112
, pp. 397-409
-
-
Kida, S.1
-
19
-
-
0023271591
-
Hamiltonian structures and stability for rigid bodies with flexible attachments
-
P. S. KRISHNAPRASAD AND J. E. MARSDEN, Hamiltonian structures and stability for rigid bodies with flexible attachments, Arch. Rational Mech. Anal., 98 (1987), pp. 71-93.
-
(1987)
Arch. Rational Mech. Anal.
, vol.98
, pp. 71-93
-
-
Krishnaprasad, P.S.1
Marsden, J.E.2
-
20
-
-
36749118289
-
Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons
-
M. LAKSHMANAN, Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons, J. Math. Phys., 20 (1979), pp. 1667-1672.
-
(1979)
J. Math. Phys.
, vol.20
, pp. 1667-1672
-
-
Lakshmanan, M.1
-
21
-
-
36749108084
-
Solitons on moving space curves
-
G. L. LAMB, JR., Solitons on moving space curves, J. Math. Phys., 18 (1977), pp. 1654-1661.
-
(1977)
J. Math. Phys.
, vol.18
, pp. 1654-1661
-
-
Lamb Jr., G.L.1
-
22
-
-
0004097995
-
-
Pergamon Press, Elmsford, NY, Oxford
-
L. LANDAU AND E. LIFSHTTZ, Theory of Elasticity, Pergamon Press, Elmsford, NY, Oxford, 1959.
-
(1959)
Theory of Elasticity
-
-
Landau, L.1
Lifshttz, E.2
-
23
-
-
36449009745
-
Local geometric invariants of integrable evolution equations
-
J. LANGER AND R. PERLINE, Local geometric invariants of integrable evolution equations, J. Math. Phys., 35 (1994), pp. 1732-1737.
-
(1994)
J. Math. Phys.
, vol.35
, pp. 1732-1737
-
-
Langer, J.1
Perline, R.2
-
24
-
-
0002846809
-
Poisson geometry of the filament equation
-
_, Poisson geometry of the filament equation, J. Nonlinear Sci., 1 (1991), pp. 71-93.
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 71-93
-
-
-
26
-
-
51249166941
-
Liouville integrability of geometric variational problems
-
_, Liouville integrability of geometric variational problems, Comment. Math. Helvetici, 69 (1994), pp. 272-280.
-
(1994)
Comment. Math. Helvetici
, vol.69
, pp. 272-280
-
-
-
27
-
-
5944258583
-
-
Case Western Reserve University, Cleveland, OH, preprint
-
_, Hamiltonian Aspects of the Kirchhoff Elastic Rod, Case Western Reserve University, Cleveland, OH, 1993, preprint.
-
(1993)
Hamiltonian Aspects of the Kirchhoff Elastic Rod
-
-
-
29
-
-
0003786889
-
-
Cambridge University Press, London, UK
-
A. E. H. LOVE, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge University Press, London, UK, 1927.
-
(1927)
A Treatise on the Mathematical Theory of Elasticity, 4th Ed.
-
-
Love, A.E.H.1
-
30
-
-
0021317182
-
Stability of nonlinearly elastic rods
-
J. H. MADDOCKS, Stability of nonlinearly elastic rods. Arch. Rational Mech. Anal., 85 (1984), pp. 311-354.
-
(1984)
Arch. Rational Mech. Anal.
, vol.85
, pp. 311-354
-
-
Maddocks, J.H.1
-
31
-
-
11944273601
-
Integrability and the motion of curves
-
K. NAKAYAMA, H. SEGUR, AND M. WADATI, Integrability and the motion of curves, Phys. Rev. Lett., 67 (1992), pp. 2603-2605.
-
(1992)
Phys. Rev. Lett.
, vol.67
, pp. 2603-2605
-
-
Nakayama, K.1
Segur, H.2
Wadati, M.3
-
32
-
-
0001288787
-
The self-linking number of a closed space curve
-
W. POHL, The self-linking number of a closed space curve, J. Math. Mech., 17 (1968), pp. 975-985.
-
(1968)
J. Math. Mech.
, vol.17
, pp. 975-985
-
-
Pohl, W.1
-
33
-
-
0003152173
-
DNA and differential geometry
-
_, DNA and differential geometry, Math. Intelligencer, 3 (1980), pp. 20-27.
-
(1980)
Math. Intelligencer
, vol.3
, pp. 20-27
-
-
-
34
-
-
0001673980
-
Physical interpretation of certain invariants for vortex filament motion under LIA
-
R. L. RICCA, Physical interpretation of certain invariants for vortex filament motion under LIA, Phys. Fluids A, 4 (1992), pp. 938-944.
-
(1992)
Phys. Fluids A
, vol.4
, pp. 938-944
-
-
Ricca, R.L.1
-
35
-
-
0000321788
-
The Kirchhoff elastic rod, the nonlinear Schrödinger equation, and DNA supercoiling
-
Y. SHI AND J. HEARST, The Kirchhoff elastic rod, the nonlinear Schrödinger equation, and DNA supercoiling, J. Chem. Phys., 101 (1994), pp. 5186-5200.
-
(1994)
J. Chem. Phys.
, vol.101
, pp. 5186-5200
-
-
Shi, Y.1
Hearst, J.2
-
36
-
-
0000315041
-
Soliton surfaces and their applications
-
Geometric Aspects of the Einstein Equations and Integrable Systems
-
A. SYM, Soliton surfaces and their applications, in Geometric Aspects of the Einstein Equations and Integrable Systems, Springer-Verlag Lecture Notes in Physics 239, 1985, p. 154.
-
(1985)
Springer-Verlag Lecture Notes in Physics
, vol.239
, pp. 154
-
-
Sym, A.1
-
37
-
-
0007196815
-
The dynamics of knots and curves
-
M. TABOR AND I. KLAPPER, The dynamics of knots and curves, Nonlinear Sci. Today, 4 (1994), pp. 12-18.
-
(1994)
Nonlinear Sci. Today
, vol.4
, pp. 12-18
-
-
Tabor, M.1
Klapper, I.2
-
38
-
-
0000750308
-
Elastic theory of supercoiled DNA
-
F. TANAKA AND H. TAKAHASHI, Elastic theory of supercoiled DNA, J. Chem. Phys., 83 (1985), p. 6017.
-
(1985)
J. Chem. Phys.
, vol.83
, pp. 6017
-
-
Tanaka, F.1
Takahashi, H.2
-
39
-
-
84968511025
-
The influence of elasticity on analysis: The classic heritage
-
C. TRUESDELL, The influence of elasticity on analysis: The classic heritage, BAMS, 9 (1983), pp. 293-310.
-
(1983)
BAMS
, vol.9
, pp. 293-310
-
-
Truesdell, C.1
-
40
-
-
0022774914
-
Elastic model of looped DNA
-
M. WADATI AND H. TSURU, Elastic model of looped DNA, Physica D, 21 (1986), pp. 213-226.
-
(1986)
Physica D
, vol.21
, pp. 213-226
-
-
Wadati, M.1
Tsuru, H.2
-
41
-
-
0000751914
-
Self-linking and the Gauss-integral in higher dimensions
-
J. WHITE, Self-linking and the Gauss-integral in higher dimensions, Amer. J. Math., 91 (1969), pp. 693-728.
-
(1969)
Amer. J. Math.
, vol.91
, pp. 693-728
-
-
White, J.1
|