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Volumn 7, Issue 2, 2005, Pages 164-178

Essential spectrum of the linearized 2D euler equation and lyapunov-oseledets exponents

Author keywords

Essential spectrum; Euler equations; Inviscid fluids; Lyapunov exponents

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FLUID MECHANICS; FOURIER TRANSFORMS; LINEARIZATION; LYAPUNOV METHODS; OSCILLATIONS;

EID: 21244451904     PISSN: 14226928     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00021-004-0114-x     Document Type: Article
Times cited : (14)

References (25)
  • 3
    • 0003327379 scopus 로고    scopus 로고
    • Evolution semigroups in dynamical systems and differential equations
    • [CL], AMS, Providence
    • [CL] C. CHICONE and Y. LATUSHKIN, Evolution Semigroups in Dynamical Systems and Differential Equations, Math. Surv. Monogr. 70, AMS, Providence 1999.
    • (1999) Math. Surv. Monogr. , vol.70
    • Chicone, C.1    Latushkin, Y.2
  • 4
    • 77956809859 scopus 로고
    • Hydrodynamic stability of parallel flow of an inviscid fluid
    • [DH]
    • [DH] P. G. DRAZIN and L. N. HOWARD, Hydrodynamic stability of parallel flow of an inviscid fluid, Adv. Appl. Math. 9 (1966), 1-89.
    • (1966) Adv. Appl. Math. , vol.9 , pp. 1-89
    • Drazin, P.G.1    Howard, L.N.2
  • 8
    • 0040714130 scopus 로고    scopus 로고
    • Instability in parallel flows revisited
    • [FH]
    • [FH] S. FRIEDLANDER and L. HOWARD, Instability in parallel flows revisited, Studies Appl. Math. 101 (1998), 1-21.
    • (1998) Studies Appl. Math. , vol.101 , pp. 1-21
    • Friedlander, S.1    Howard, L.2
  • 10
    • 0033249124 scopus 로고    scopus 로고
    • Robustness of instability for the two-dimensional Euler equations
    • [FSV2]
    • [FSV2] S. FRIEDLANDER, W. STRAUSS and M. VISHIK, Robustness of instability for the two-dimensional Euler equations, SIAM J. Math. Anal. 30 (1999), 1343-1354.
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 1343-1354
    • Friedlander, S.1    Strauss, W.2    Vishik, M.3
  • 11
    • 5844325490 scopus 로고
    • Dynamo theory, vorticity generation, and exponential stretching
    • [FV]
    • [FV] S. FRIEDLANDER and M. VISHIK, Dynamo theory, vorticity generation, and exponential stretching, Chaos 1 (1991), 198-205.
    • (1991) Chaos , vol.1 , pp. 198-205
    • Friedlander, S.1    Vishik, M.2
  • 12
    • 0002030444 scopus 로고
    • Instability criteria for steady flows of a perfect fluid
    • [FV2]
    • [FV2] S. FRIEDLANDER and M. VISHIK, Instability criteria for steady flows of a perfect fluid, Chaos 2 (3) (1992), 455-460.
    • (1992) Chaos , vol.2 , Issue.3 , pp. 455-460
    • Friedlander, S.1    Vishik, M.2
  • 13
    • 0025960023 scopus 로고
    • Local stability conditions in fluid dynamics
    • [LH1]
    • [LH1] A. LIFSCHITZ and E. HAMEIRI, Local stability conditions in fluid dynamics, Phys. Fluids A 3 (1991), 2644-2651.
    • (1991) Phys. Fluids A , vol.3 , pp. 2644-2651
    • Lifschitz, A.1    Hameiri, E.2
  • 14
    • 0000547962 scopus 로고
    • Localized instabilities of vortex rings with swirl
    • [LH2]
    • [LH2] A. LIFSCHITZ and E. HAMEIRI, Localized instabilities of vortex rings with swirl, Comm. Pure Appl. Math. 46 (1993), 1379-1408.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 1379-1408
    • Lifschitz, A.1    Hameiri, E.2
  • 15
    • 0037330376 scopus 로고    scopus 로고
    • Linear stability in an ideal incompressible fluid
    • [LV]
    • [LV] Y. LATUSHKIN and M. VISHIK, Linear stability in an ideal incompressible fluid, Comm. Math. Phys. 233 (2003), 439-461.
    • (2003) Comm. Math. Phys. , vol.233 , pp. 439-461
    • Latushkin, Y.1    Vishik, M.2
  • 17
    • 84972570025 scopus 로고
    • The radius of the essential spectrum
    • [N]
    • [N] R. NUSSBAUM, The radius of the essential spectrum, Duke Math. J. 37 (1970), 473-478.
    • (1970) Duke Math. J. , vol.37 , pp. 473-478
    • Nussbaum, R.1
  • 18
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems
    • [O]
    • [O] V. OSELEDETS, A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems, Trans. Moscow Math. Soc. 19 (1968), 197-231.
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197-231
    • Oseledets, V.1
  • 21
    • 21244475341 scopus 로고    scopus 로고
    • A new proof of Vishik's formula
    • [S2], submitted
    • [S2] R. SHVYDKOY, A new proof of Vishik's formula, J. Math. Pures et Appl. 2003, submitted.
    • (2003) J. Math. Pures et Appl.
    • Shvydkoy, R.1
  • 22
    • 21244503671 scopus 로고    scopus 로고
    • The essential spectrum of the linearized 2D Euler operator is a vertical band
    • [SL], Y. KARPESHINA, G. STOLZ, R. WEIKARD, and Y. ZENG (eds), to appear
    • [SL] R. SHVYDKOY and Y. LATUSHKIN, The essential spectrum of the linearized 2D Euler operator is a vertical band, in: Contemp. Math., Proc. UAB 2002 Intl. Conf. Diff. Eqns. and Mathem. Phys., Y. KARPESHINA, G. STOLZ, R. WEIKARD, and Y. ZENG (eds), to appear.
    • Contemp. Math., Proc. UAB 2002 Intl. Conf. Diff. Eqns. and Mathem. Phys.
    • Shvydkoy, R.1    Latushkin, Y.2
  • 23
    • 0000706535 scopus 로고    scopus 로고
    • Spectrum of small oscillations of an ideal fluid and Lyapunov exponents
    • [V]
    • [V] M. M. VISHIK, Spectrum of small oscillations of an ideal fluid and Lyapunov exponents, J. Math. Pures et Appl. 75 (1996), 531-558.
    • (1996) J. Math. Pures et Appl. , vol.75 , pp. 531-558
    • Vishik, M.M.1
  • 24
    • 0000781372 scopus 로고
    • Dynamo theory methods for hydrodynamic stability
    • [VF]
    • [VF] M. VISHIK and S. FRIEDLANDER, Dynamo theory methods for hydrodynamic stability, J. Math. Pures et Appl. 72 (1993), 145-180.
    • (1993) J. Math. Pures et Appl. , vol.72 , pp. 145-180
    • Vishik, M.1    Friedlander, S.2
  • 25
    • 0003238489 scopus 로고
    • The linearization method in hydrodynamical stability theory
    • [Y], AMS, Providence
    • [Y] Y. YUDOVICH, The linearization method in hydrodynamical stability theory, Transl. Math. Monogr. 74, AMS, Providence 1989.
    • (1989) Transl. Math. Monogr. , vol.74
    • Yudovich, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.