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Volumn 2, Issue 4, 2002, Pages 483-494

Stability of stationary solutions of the forced Navier-Stokes equations on the two-torus

Author keywords

Asymptotic (global) stability; Linear stability; Two dimensional Navier Stokes equations

Indexed keywords


EID: 0013300618     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2002.2.483     Document Type: Article
Times cited : (5)

References (12)
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    • (1953) Tellus , vol.5 , pp. 225-237
    • Fjørtoft, R.1
  • 3
    • 0002106807 scopus 로고
    • The stability of planetary waves on an infinite beta-plane
    • A.E. Gill, THE STABILITY OF PLANETARY WAVES ON AN INFINITE BETA-PLANE, Geophys. Fluid Dyn., 6 (1974), pp. 29-47.
    • (1974) Geophys. Fluid Dyn. , vol.6 , pp. 29-47
    • Gill, A.E.1
  • 4
    • 0040102793 scopus 로고
    • Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid
    • V.I. Iudovich, EXAMPLE OF THE GENERATION OF A SECONDARY STATIONARY OR PERIODIC FLOW WHEN THERE IS LOSS OF STABILITY OF THE LAMINAR FLOW OF A VISCOUS INCOMPRESSIBLE FLUID, J. Appl. Math. Mech. 29 (1965), pp. 527-544.
    • (1965) J. Appl. Math. Mech. , vol.29 , pp. 527-544
    • Iudovich, V.I.1
  • 5
    • 0034342441 scopus 로고    scopus 로고
    • On 2D euler equations. I. On the energy-casimir stability and the spectra for linearized 2d euler equations
    • Y. (C.) Li, ON 2D EULER EQUATIONS. I. ON THE ENERGY-CASIMIR STABILITY AND THE SPECTRA FOR LINEARIZED 2D EULER EQUATIONS, J. Math. Phys., 41 (2000), pp. 728-758.
    • (2000) J. Math. Phys. , vol.41 , pp. 728-758
    • Li, Y.1
  • 6
    • 21344481767 scopus 로고
    • A sharp lower bound for the hausdorff dimension of the global attractors of the 2d navier-stokes equations
    • V.X.S. Liu, A SHARP LOWER BOUND FOR THE HAUSDORFF DIMENSION OF THE GLOBAL ATTRACTORS OF THE 2D NAVIER-STOKES EQUATIONS, Comm. Math. Phys., 158 (1993), pp. 327-339.
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    • Liu, V.X.S.1
  • 7
    • 0038279658 scopus 로고
    • Instability for the navier-stokes equations on the 2-dimensional torus and a lower bound for the hausdorff dimension of their global attractors
    • V.X.S. Liu, INSTABILITY FOR THE NAVIER-STOKES EQUATIONS ON THE 2-DIMENSIONAL TORUS AND A LOWER BOUND FOR THE HAUSDORFF DIMENSION OF THEIR GLOBAL ATTRACTORS, Comm. Math. Phys., 147 (1992), pp. 217-230.
    • (1992) Comm. Math. Phys. , vol.147 , pp. 217-230
    • Liu, V.X.S.1
  • 8
    • 0001491794 scopus 로고
    • Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
    • L.D. Meshalkin and I.G. Sinai, INVESTIGATION OF THE STABILITY OF A STATIONARY SOLUTION OF A SYSTEM OF EQUATIONS FOR THE PLANE MOVEMENT OF AN INCOMPRESSIBLE VISCOUS LIQUID, J. Appl. Math. Mech., 25 (1961), pp. 1140-1143.
    • (1961) J. Appl. Math. Mech. , vol.25 , pp. 1140-1143
    • Meshalkin, L.D.1    Sinai, I.G.2
  • 12
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    • Constraints on the spectral distribution of energy and enstrophy dissipation in forced two-dimensional turbulence
    • C.V. Tran and T.G. Shepherd, CONSTRAINTS ON THE SPECTRAL DISTRIBUTION OF ENERGY AND ENSTROPHY DISSIPATION IN FORCED TWO-DIMENSIONAL TURBULENCE, Physica D, 165 (2002), III-IV, pp. 199-212.
    • (2002) Physica D , vol.165 , Issue.3-4 , pp. 199-212
    • Tran, C.V.1    Shepherd, T.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.