메뉴 건너뛰기




Volumn 40, Issue 3-4, 1996, Pages 235-245

Bifurcation phenomena of the magnetofluid equations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHAOS THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; FOURIER TRANSFORMS; KINETIC THEORY; MAGNETIC FLUIDS; MAGNETOHYDRODYNAMICS; PARTIAL DIFFERENTIAL EQUATIONS; REYNOLDS NUMBER;

EID: 0030125506     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4754(95)00035-6     Document Type: Article
Times cited : (5)

References (21)
  • 1
    • 0003967457 scopus 로고
    • On the evolution of a magnetic field under the influence of advection and diffusion
    • V.M. Tikhomirov, ed., Moscow State University, (in Russian)
    • V.I. Arnold, On the evolution of a magnetic field under the influence of advection and diffusion, in: V.M. Tikhomirov, ed., Some Problems of Modern Analysis (Moscow State University, 1984) 8-21 (in Russian).
    • (1984) Some Problems of Modern Analysis , pp. 8-21
    • Arnold, V.I.1
  • 2
    • 0002335440 scopus 로고
    • The growth of a magnetic field in a three-dimensional steady incompressible flow
    • in Russian
    • V.I. Arnold and E.I. Korkina, The growth of a magnetic field in a three-dimensional steady incompressible flow, Vestnik Moskov. Univ. Mat. Mekh. 3 (1983) 43-46 (in Russian).
    • (1983) Vestnik Moskov. Univ. Mat. Mekh. , vol.3 , pp. 43-46
    • Arnold, V.I.1    Korkina, E.I.2
  • 4
    • 0001047390 scopus 로고
    • Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
    • C. Foias, B. Nicolaenko, G.R. Sell and R. Temam, Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension, J. Math. Pures Appl. 67 (1988) 197-226.
    • (1988) J. Math. Pures Appl. , vol.67 , pp. 197-226
    • Foias, C.1    Nicolaenko, B.2    Sell, G.R.3    Temam, R.4
  • 5
    • 0000640733 scopus 로고
    • Inertial manifolds for non-linear evolutionary equations
    • C. Foias, G.R. Sell and R. Temam, Inertial manifolds for non-linear evolutionary equations, J. Differential Equations 73 (1988) 309-353.
    • (1988) J. Differential Equations , vol.73 , pp. 309-353
    • Foias, C.1    Sell, G.R.2    Temam, R.3
  • 7
    • 84963421409 scopus 로고
    • Dynamo action in a family of flows with chaotic streamlines
    • D. Galloway and U. Frisch, Dynamo action in a family of flows with chaotic streamlines, Geophys. Astrophys. Fluid Dynamics 36 (1986) 53-83.
    • (1986) Geophys. Astrophys. Fluid Dynamics , vol.36 , pp. 53-83
    • Galloway, D.1    Frisch, U.2
  • 8
    • 0023384170 scopus 로고
    • A note on the stability of a family of space-periodic Beltrami flows
    • D. Galloway and U. Frisch, A note on the stability of a family of space-periodic Beltrami flows, J. Fluid Mech. 180 (1987) 557-564.
    • (1987) J. Fluid Mech. , vol.180 , pp. 557-564
    • Galloway, D.1    Frisch, U.2
  • 10
    • 0024704649 scopus 로고
    • Steady-state simulation of 2D homogeneous turbulence
    • J. Lee, Steady-state simulation of 2D homogeneous turbulence, Physica D 37 (1989) 417-422.
    • (1989) Physica D , vol.37 , pp. 417-422
    • Lee, J.1
  • 11
    • 0348001328 scopus 로고
    • Topology of trajectories of the 2D Navier-Stokes equations
    • J. Lee, Topology of trajectories of the 2D Navier-Stokes equations, Chaos 2 (1992) 537-563.
    • (1992) Chaos , vol.2 , pp. 537-563
    • Lee, J.1
  • 12
    • 25744451808 scopus 로고
    • Helical and non-helical turbulent dynamos
    • M. Meneguzzi, U. Frisch and A. Pouquet, Helical and non-helical turbulent dynamos, Phys. Rev. Lett. 47 (1981) 1060-1064.
    • (1981) Phys. Rev. Lett. , vol.47 , pp. 1060-1064
    • Meneguzzi, M.1    Frisch, U.2    Pouquet, A.3
  • 14
    • 0011162801 scopus 로고
    • Bifurcations, chaos and self-organisation in reaction-diffusion systems
    • D. Roose, B. de Dier and A. Spence, eds., Kluwer, Dordrecht
    • G. Nicolis and P. Gaspard, Bifurcations, chaos and self-organisation in reaction-diffusion systems, in: D. Roose, B. de Dier and A. Spence, eds., Continuations and Bifurcations: Numerical Techniques and Applications (Kluwer, Dordrecht, 1990) 43-70.
    • (1990) Continuations and Bifurcations: Numerical Techniques and Applications , pp. 43-70
    • Nicolis, G.1    Gaspard, P.2
  • 16
    • 0001123012 scopus 로고
    • On the non-linear stability of the 1:1:1 ABC flow
    • O. Podvigina and A. Pouquet, On the non-linear stability of the 1:1:1 ABC flow, Physica D 75 (1994) 471-508.
    • (1994) Physica D , vol.75 , pp. 471-508
    • Podvigina, O.1    Pouquet, A.2
  • 19
    • 0000672504 scopus 로고
    • A numerical approach to ergodic problem of dissipative dynamical systems
    • I. Shimada and T. Nagashima, A numerical approach to ergodic problem of dissipative dynamical systems, Progr. Theoret. Phys. 61 (1979) 1605-1616.
    • (1979) Progr. Theoret. Phys. , vol.61 , pp. 1605-1616
    • Shimada, I.1    Nagashima, T.2
  • 20
    • 0025450096 scopus 로고
    • On approximate inertial manifolds to the Navier-Stokes equations
    • E.S. Titi, On approximate inertial manifolds to the Navier-Stokes equations, J. Math. Anal. Appl. 149 (1990) 540-557.
    • (1990) J. Math. Anal. Appl. , vol.149 , pp. 540-557
    • Titi, E.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.