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Volumn 65, Issue 2, 2005, Pages 720-736

On the geometric flow of kirchhoff elastic rods

Author keywords

Fourth order; Geometric flows; Kirchhoff elastic rods

Indexed keywords

BACTERIA; DNA; ELASTICITY; MATHEMATICAL MODELS; MATRIX ALGEBRA; VECTORS;

EID: 19944376166     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139903431713     Document Type: Article
Times cited : (18)

References (9)
  • 1
    • 34547955474 scopus 로고
    • Nonlinear problems of elasticity
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    • S. S. ANTMAN, Nonlinear Problems of Elasticity, Appl. Math. Sci. 107, Springer-Verlag, New York, 1995.
    • (1995) Appl. Math. Sci. , vol.107
    • Antman, S.S.1
  • 2
    • 0003872752 scopus 로고
    • Nonlinear analysis on manifolds. Mange-Ampère equations
    • Springer-Verlag, New York
    • T. AUBIN, Nonlinear Analysis on Manifolds. Mange-Ampère Equations, Grundlehren Math. Wiss. 252, Springer-Verlag, New York, 1982.
    • (1982) Grundlehren Math. Wiss. , vol.252
    • Aubin, T.1
  • 3
    • 0001105208 scopus 로고
    • 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. 118-133.
    • (1975) Amer. Math. Monthly , vol.82 , pp. 118-133
    • Bishop, R.1
  • 5
    • 0005613646 scopus 로고    scopus 로고
    • Knot types, homotopies and stability of closed elastic rods
    • T. IVEY AND D. SINGER, Knot types, homotopies and stability of closed elastic rods, Proc. London Math. Soc. (3), 79 (1999), pp. 429-450.
    • (1999) Proc. London Math. Soc. (3) , vol.79 , pp. 429-450
    • Ivey, T.1    Singer, D.2
  • 6
    • 0010307767 scopus 로고    scopus 로고
    • On the motion of a curve towards elastica
    • Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), Soc. Math. France, Paris
    • N. KOISO, On the motion of a curve towards elastica, in Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), Sémin. Congr. 1, Soc. Math. France, Paris, 1996, pp. 403-436.
    • (1996) Sémin. Congr. , vol.1 , pp. 403-436
    • Koiso, N.1
  • 7
    • 0030408358 scopus 로고    scopus 로고
    • Lagrangian aspects of the Kirchhoff elastic rod
    • J. LANGER AND D. SINGER, Lagrangian aspects of the Kirchhoff elastic rod, SIAM Rev., 38 (1996), pp. 605-618.
    • (1996) SIAM Rev. , vol.38 , pp. 605-618
    • Langer, J.1    Singer, D.2
  • 9
    • 0002798744 scopus 로고
    • Curve straightening flow deforms closed plane curves with nonzero rotation number to circles
    • Y. WEN, Curve straightening flow deforms closed plane curves with nonzero rotation number to circles, J. Differential Equations, 120 (1995), pp. 89-107.
    • (1995) J. Differential Equations , vol.120 , pp. 89-107
    • Wen, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.