메뉴 건너뛰기




Volumn 35, Issue 2, 2004, Pages 318-356

Instability of some ideal plane flows

Author keywords

Neutral limiting mode; Rayleigh's equation; Shear flow instability

Indexed keywords


EID: 1642634088     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141002406266     Document Type: Article
Times cited : (67)

References (23)
  • 1
    • 0035994815 scopus 로고    scopus 로고
    • Stable and unstable ideal plane flows
    • C. BARDOS, Y. GUO, AND W. STRAUSS, Stable and unstable ideal plane flows, Chinese Ann. Math., 23B (2002), pp. 149-164.
    • (2002) Chinese Ann. Math. , vol.23 B , pp. 149-164
    • Bardos, C.1    Guo, Y.2    Strauss, W.3
  • 3
    • 0002895030 scopus 로고
    • Regular approximations of singular Sturm-Liouville problems
    • P. B. BAILEY, W. N. EVERITT, J. WEIDMANN, AND A. ZETTL, Regular approximations of singular Sturm-Liouville problems, Results Math., 23 (1993), pp. 3-22.
    • (1993) Results Math. , vol.23 , pp. 3-22
    • Bailey, P.B.1    Everitt, W.N.2    Weidmann, J.3    Zettl, A.4
  • 4
  • 7
    • 0000810683 scopus 로고
    • The instability to long waves of unbounded parallel inviscid flow
    • P. G. DRAZIN AND L. N. HOWARD, The instability to long waves of unbounded parallel inviscid flow, J. Fluid Mech., 14 (1962), pp. 257-283.
    • (1962) J. Fluid Mech. , vol.14 , pp. 257-283
    • Drazin, P.G.1    Howard, L.N.2
  • 8
    • 77956809859 scopus 로고
    • Hydrodynamical stability of parallel flow of inviscid fluid
    • G. Kuerti, ed., Academic Press, New York
    • P. G. DRAZIN AND L. N. HOWARD, Hydrodynamical stability of parallel flow of inviscid fluid, in Advances in Applied Mechanics, Vol. 7, G. Kuerti, ed., Academic Press, New York, 1966, pp. 1-89.
    • (1966) Advances in Applied Mechanics , vol.7 , pp. 1-89
    • Drazin, P.G.1    Howard, L.N.2
  • 9
    • 0010800928 scopus 로고
    • On the theory of the instability of a stationary plane-parallel flows of an ideal fluid
    • L. D. FADDEEV, On the theory of the instability of a stationary plane-parallel flows of an ideal fluid, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 21 (1971), pp. 164-172.
    • (1971) Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) , vol.21 , pp. 164-172
    • Faddeev, L.D.1
  • 10
    • 0002806822 scopus 로고
    • Application of integral theorems in deriving criteria of stability of laminar flow and for baroclinic circular vortex
    • R. FJØRTOFT, Application of integral theorems in deriving criteria of stability of laminar flow and for baroclinic circular vortex, Geofys. Publ. Norske Vid.-Akad. Oslo, 17 (1950), pp. 1-52.
    • (1950) Geofys. Publ. Norske Vid.-akad. Oslo , vol.17 , pp. 1-52
    • Fjørtoft, R.1
  • 12
    • 0040714130 scopus 로고    scopus 로고
    • Instability in parallel flow revisited
    • S. FRIEDLANDER AND L. N. HOWARD, Instability in parallel flow revisited, Stud. Appl. Math., 101 (1998), pp. 1-21.
    • (1998) Stud. Appl. Math. , vol.101 , pp. 1-21
    • Friedlander, S.1    Howard, L.N.2
  • 13
    • 0034403210 scopus 로고    scopus 로고
    • On the nonlinear instability of Euler and Prandtl equations
    • E. GRENIER, On the nonlinear instability of Euler and Prandtl equations, Comm. Pure. Appl. Math., 53 (2000), pp. 1067-1091.
    • (2000) Comm. Pure. Appl. Math. , vol.53 , pp. 1067-1091
    • Grenier, E.1
  • 14
    • 0000970069 scopus 로고
    • Note on a paper of John W. Miles
    • L. N. HOWARD, Note on a paper of John W. Miles, J. Fluid Mech., 10 (1961), pp. 509-512.
    • (1961) J. Fluid Mech. , vol.10 , pp. 509-512
    • Howard, L.N.1
  • 15
    • 0000696388 scopus 로고
    • The number of unstable modes in hydrodynamic stability problems
    • L. N. HOWARD, The number of unstable modes in hydrodynamic stability problems, J. Mécanique, 3 (1964), p. 433.
    • (1964) J. Mécanique , vol.3 , pp. 433
    • Howard, L.N.1
  • 16
    • 84948434395 scopus 로고
    • On the stability or instability of certain fluid motions
    • LORD RAYLEIGH, On the stability or instability of certain fluid motions, Proc. London Math. Soc., 9 (1880), pp. 57-70.
    • (1880) Proc. London Math. Soc. , vol.9 , pp. 57-70
    • Rayleigh, L.1
  • 18
    • 0035539221 scopus 로고    scopus 로고
    • Instability of periodic BGK waves
    • Z. LIN, Instability of periodic BGK waves, Math. Res. Lett., 8 (2001), pp. 521-534.
    • (2001) Math. Res. Lett. , vol.8 , pp. 521-534
    • Lin, Z.1
  • 19
    • 85047171805 scopus 로고    scopus 로고
    • Some stability and instability criteria for ideal plane flows
    • submitted
    • Z. LIN, Some stability and instability criteria for ideal plane flows, Comm. Math. Phys., submitted.
    • Comm. Math. Phys.
    • Lin, Z.1
  • 22
    • 1642615049 scopus 로고
    • On the Rayleigh problem in hydrodynamic stability
    • D. H. SATTINGER, On the Rayleigh problem in hydrodynamic stability, SIAM J. Appl. Math., 15 (1967), pp. 419-425.
    • (1967) SIAM J. Appl. Math. , vol.15 , pp. 419-425
    • Sattinger, D.H.1
  • 23
    • 0002069704 scopus 로고
    • Ein Allgemeines Kriterium der Instabitität laminarer Geschwindigkeits-verteilungen
    • W. TOLLMIEN, Ein Allgemeines Kriterium der Instabitität laminarer Geschwindigkeits-verteilungen, Nachr. Ges. Wiss. Göttingen Math. Phys., 50 (1935), pp. 79-114.
    • (1935) Nachr. Ges. Wiss. Göttingen Math. Phys. , vol.50 , pp. 79-114
    • Tollmien, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.