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Volumn 172, Issue 2, 2004, Pages 213-245

Stability of large Ekman boundary layers in rotating fluids

(1)  Rousset, F a  

a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 2442715112     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-003-0302-5     Document Type: Article
Times cited : (19)

References (24)
  • 1
    • 0005235678 scopus 로고
    • A topological invariant arising in the stability analysis of travelling waves
    • ALEXANDER, J., GARDNER, R., JONES, C.: A topological invariant arising in the stability analysis of travelling waves. J. Reine Angew. Math. 410, 167-212 (1990)
    • (1990) J. Reine Angew. Math. , vol.410 , pp. 167-212
    • Alexander, J.1    Gardner, R.2    Jones, C.3
  • 2
    • 0001191104 scopus 로고
    • Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
    • BONY, J-M.: Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires. Ann. Sci. École Norm. Sup. (4) 14, 209-246 (1981)
    • (1981) Ann. Sci. École Norm. Sup. (4) , vol.14 , pp. 209-246
    • Bony, J.-M.1
  • 5
    • 0033096493 scopus 로고    scopus 로고
    • Stability of mixed Ekman-Hartmann boundary layers
    • DESJARDINS, B., DORMY, E., GRENIER, E.: Stability of mixed Ekman-Hartmann boundary layers. Nonlinearity 12, 181-199 (1999)
    • (1999) Nonlinearity , vol.12 , pp. 181-199
    • Desjardins, B.1    Dormy, E.2    Grenier, E.3
  • 6
    • 0347354928 scopus 로고    scopus 로고
    • Linear instability implies nonlinear instability for various boundary layers
    • DESJARDINS, B., GRENIER, E.: Linear instability implies nonlinear instability for various boundary layers. Ann. Inst. H. Poincaré Anal Non Linéaire 20, 87-106 (2003)
    • (2003) Ann. Inst. H. Poincaré Anal Non Linéaire , vol.20 , pp. 87-106
    • Desjardins, B.1    Grenier, E.2
  • 7
    • 0040942605 scopus 로고    scopus 로고
    • The gap lemma and geometric criteria for instability of viscous shock profiles
    • GARDNER, R.A., ZUMBRUN, K.: The gap lemma and geometric criteria for instability of viscous shock profiles. Comm. Pure Appl. Math. 51, 797-855 (1998)
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 797-855
    • Gardner, R.A.1    Zumbrun, K.2
  • 8
    • 0141637135 scopus 로고    scopus 로고
    • A geometric optics approach to fluid boundary layers
    • GÉRARD-VARET, D.: A geometric optics approach to fluid boundary layers. Comm. Partial Differential Equations 28, 1605-1626 (2003)
    • (2003) Comm. Partial Differential Equations , vol.28 , pp. 1605-1626
    • Gérard-Varet, D.1
  • 10
    • 0001052077 scopus 로고    scopus 로고
    • Ekman layers of rotating fluids, the case of well prepared initial data
    • GRENIER, E., MASMOUDI, N.: Ekman layers of rotating fluids, the case of well prepared initial data. Comm. Partial Differential Equations 22, 953-975 (1997)
    • (1997) Comm. Partial Differential Equations , vol.22 , pp. 953-975
    • Grenier, E.1    Masmoudi, N.2
  • 11
    • 0035537785 scopus 로고    scopus 로고
    • Stability of one-dimensional boundary layers by using Green's functions
    • GRENIER, E., ROUSSET, F.: Stability of one-dimensional boundary layers by using Green's functions. Comm. Pure Appl. Math. 54, 1343-1385 (2001)
    • (2001) Comm. Pure Appl. Math. , vol.54 , pp. 1343-1385
    • Grenier, E.1    Rousset, F.2
  • 13
    • 84980172444 scopus 로고
    • Initial boundary value problems for hyperbolic systems
    • KREISS, H.-O.: Initial boundary value problems for hyperbolic systems. Comm. Pure & Appl. Math. 23, 277-298 (1970)
    • (1970) Comm. Pure & Appl. Math. , vol.23 , pp. 277-298
    • Kreiss, H.-O.1
  • 15
    • 0001452726 scopus 로고
    • On the instability of Ekman boundary flow
    • LILLY, D.K.: On the instability of Ekman boundary flow. J. Atmos. Sci. 23, 481-494 (1966)
    • (1966) J. Atmos. Sci. , vol.23 , pp. 481-494
    • Lilly, D.K.1
  • 16
    • 0034383413 scopus 로고    scopus 로고
    • Ekman layers of rotating fluids: The case of general initial data
    • MASMOUDI, N.: Ekman layers of rotating fluids: the case of general initial data. Comm. Pure Appl. Math. 53, 432-483 (2000)
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 432-483
    • Masmoudi, N.1
  • 22
    • 1642587248 scopus 로고    scopus 로고
    • Viscous limits for strong shocks of systems of conservation laws
    • ROUSSET, F.: Viscous limits for strong shocks of systems of conservation laws. SIAM J. Math. Anal. 35, 492-519 (2003)
    • (2003) SIAM J. Math. Anal. , vol.35 , pp. 492-519
    • Rousset, F.1
  • 24
    • 0001028485 scopus 로고    scopus 로고
    • Viscous and inviscid stability of multidimensional planar shock fronts
    • ZUMBRUN, K., SERRE, D.: Viscous and inviscid stability of multidimensional planar shock fronts. Indiana Univ. Math. J. 48, 937-992 (1999)
    • (1999) Indiana Univ. Math. J. , vol.48 , pp. 937-992
    • Zumbrun, K.1    Serre, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.