메뉴 건너뛰기




Volumn 26, Issue 6, 2012, Pages 591-594

Integrable stationary solution for the fully nonlinear local induction equation describing the motion of a vortex filament

Author keywords

Local induction equation; Stationary solution; Vortex dynamics; Vortex filament

Indexed keywords

FIRST INTEGRAL; FULLY NONLINEAR; INDUCTION EQUATIONS; SECOND ORDERS; SPATIAL VARIABLES; STATIONARY SOLUTIONS; VORTEX DYNAMICS; VORTEX FILAMENT;

EID: 84869082888     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-011-0244-8     Document Type: Article
Times cited : (16)

References (7)
  • 1
    • 77949305384 scopus 로고    scopus 로고
    • Motion of a vortex filament in the local induction approximation: Reformulation of the da rios-betchov equations in the extrinsic filament coordinate space
    • Shivamoggi, B.K., van Heijst, G.J.F.: Motion of a vortex filament in the local induction approximation: Reformulation of the Da Rios-Betchov equations in the extrinsic filament coordinate space. Phys. Lett. A 374, 1742 ("2010)
    • (2010) Phys. Lett. A , vol.374 , pp. 1742
    • Shivamoggi, B.K.1    Van Heijst, G.J.F.2
  • 2
    • 21244455276 scopus 로고    scopus 로고
    • Helical waves on a vortex filament
    • Dmitriyev, V.P.: Helical waves on a vortex filament. Am. J. Phys. 73, 563 ("2005)
    • (2005) Am. J. Phys. , vol.73 , pp. 563
    • Dmitriyev, V.P.1
  • 3
    • 84859701595 scopus 로고    scopus 로고
    • Motion of a vortex filament in the local induction approximation: A perturbative approach
    • in press. doi:10.1007/s00162-010-0218-2
    • Van Gorder, R.A.:Motion of a vortex filament in the local induction approximation: A perturbative approach. Theor. Comput. Fluid Dyn. ("2011, in press). doi:10.1007/s00162-010-0218-2
    • (2011) Theor. Comput. Fluid Dyn.
    • Van Gorder, R.A.1
  • 4
    • 33746770798 scopus 로고
    • Sul moto d'un liquido indefinite con un filetto vorticoso di forma qualunque
    • Da Rios, L.S.: Sul moto d'un liquido indefinite con un filetto vorticoso di forma qualunque. Rend. Circ. Mat. Palermo 22, 117 ("1906)
    • (1906) Rend. Circ. Mat. Palermo , vol.22 , pp. 117
    • Da Rios, L.S.1
  • 5
    • 36849128374 scopus 로고
    • Localized-induction concept on a curved vortex and motion of an elliptic vortex ring
    • Arms, R.J., Hama, F.R.: Localized-induction concept on a curved vortex and motion of an elliptic vortex ring. Phys. Fluids 8, 553 ("1965)
    • (1965) Phys. Fluids , vol.8 , pp. 553
    • Arms, R.J.1    Hama, F.R.2
  • 6
    • 77949425112 scopus 로고    scopus 로고
    • A locally induced homoclinic motion of a vortex filament
    • Umeki, M.: A locally induced homoclinic motion of a vortex filament. Theor. Comput. Fluid Dyn. 24, 383 ("2010)
    • (2010) Theor. Comput. Fluid Dyn. , vol.24 , pp. 383
    • Umeki, M.1
  • 7
    • 0000774509 scopus 로고
    • Motion of a vortex filament and its relation to elastica
    • Hasimoto, H.: Motion of a Vortex Filament and its relation to Elastica. J. Phys. Soc. Jpn. 31, 293 ("1971)
    • (1971) J. Phys. Soc. Jpn. , vol.31 , pp. 293
    • Hasimoto, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.