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Volumn 246, Issue 1, 2004, Pages 87-112

Some Stability and Instability Criteria for Ideal Plane Flows

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EID: 1842591096     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1045-3     Document Type: Article
Times cited : (40)

References (18)
  • 1
    • 0035994815 scopus 로고    scopus 로고
    • Stable and unstable ideal plane flows
    • Bardos, C., Guo, Y., Strauss, W.: Stable and unstable ideal plane flows. Chinese Annals Math. 23B, 149-164 (2002)
    • (2002) Chinese Annals Math. , vol.23 B , pp. 149-164
    • Bardos, C.1    Guo, Y.2    Strauss, W.3
  • 2
    • 77956809859 scopus 로고
    • Hydrodynamic stability of parallel flow of inviscid fluid
    • Drazin, P. G., Howard, L. N.: Hydrodynamic stability of parallel flow of inviscid fluid. Adv. Appl. Math. 9, 1-89 (1966)
    • (1966) Adv. Appl. Math. , vol.9 , pp. 1-89
    • Drazin, P.G.1    Howard, L.N.2
  • 3
    • 0013355519 scopus 로고
    • On stability for symmetric hyperbolic systems I
    • Ecnhoff, K. S.: On stability for symmetric hyperbolic systems I. J. Differ. Eq. 40, 94-115 (1981)
    • (1981) J. Differ. Eq. , vol.40 , pp. 94-115
    • Ecnhoff, K.S.1
  • 4
    • 6944255117 scopus 로고
    • Instability criteria for the flow of an inviscid incompressible fluid
    • Friedlander, S., Vishik, M. M.: Instability criteria for the flow of an inviscid incompressible fluid. Phys. Rev. Letts. 66(17), 2204-2206 (1991)
    • (1991) Phys. Rev. Letts. , vol.66 , Issue.17 , pp. 2204-2206
    • Friedlander, S.1    Vishik, M.M.2
  • 5
    • 1842490721 scopus 로고    scopus 로고
    • Lectures on stability and instability of an ideal fluid
    • Hyperbolic equations and frequency interactions (Park City, UT, 1995), Providence, RI: Amer. Math. Soc.
    • Friedlander, S.: Lectures on stability and instability of an ideal fluid. In: Hyperbolic equations and frequency interactions (Park City, UT, 1995), IAS/Park City Math. Ser., 5, Providence, RI: Amer. Math. Soc., 1999, pp. 227-304
    • (1999) IAS/Park City Math. Ser. , vol.5 , pp. 227-304
    • Friedlander, S.1
  • 7
    • 0037485999 scopus 로고
    • Notes on asymptotic perturbation theory for Schrödinger eigenvalue problems
    • Hunziker, W.: Notes on asymptotic perturbation theory for Schrödinger eigenvalue problems. Helv. Phys. Acta. 61, 257-304 (1988)
    • (1988) Helv. Phys. Acta. , vol.61 , pp. 257-304
    • Hunziker, W.1
  • 9
    • 34250521951 scopus 로고
    • On classical solutions of the two-dimensional non-stationary Euler equation
    • Kato, T.: On classical solutions of the two-dimensional non-stationary Euler equation. Arch. Rational. Mech. Anal. 25, 188-200 (1967)
    • (1967) Arch. Rational. Mech. Anal. , vol.25 , pp. 188-200
    • Kato, T.1
  • 10
    • 0036022790 scopus 로고    scopus 로고
    • Transport and instability for perfect fluids
    • Koch, H. Transport and instability for perfect fluids, Math. Ann. 323, 491-523 (2002)
    • (2002) Math. Ann. , vol.323 , pp. 491-523
    • Koch, H.1
  • 11
    • 0025960023 scopus 로고
    • Local stability conditions in fluid dynamics
    • Lifschitz, A., Hameiri, E.: Local stability conditions in fluid dynamics. Phys. Fluids A 3(11), 2644-2651 (1991)
    • (1991) Phys. Fluids A , vol.3 , Issue.11 , pp. 2644-2651
    • Lifschitz, A.1    Hameiri, E.2
  • 12
    • 0035539221 scopus 로고    scopus 로고
    • Instability of periodic BGK waves
    • Lin, Z.: Instability of periodic BGK waves. Math. Res. Letts. 8, 521-534 (2001)
    • (2001) Math. Res. Letts. , vol.8 , pp. 521-534
    • Lin, Z.1
  • 13
    • 1642634088 scopus 로고    scopus 로고
    • Instability of some ideal plane flows
    • Lin, Z.: Instability of some ideal plane flows. SIAM J. Math. Anal. 35(2), 318-356 (2003)
    • (2003) SIAM J. Math. Anal. , vol.35 , Issue.2 , pp. 318-356
    • Lin, Z.1
  • 14
    • 0002843972 scopus 로고
    • Bounds for the Maximum stress in the Saint Venant torsion problem
    • Payne, L. E.: Bounds for the Maximum stress in the Saint Venant torsion problem. Indian J. Mech. and Math. Special issue, 51-59 (1968)
    • (1968) Indian J. Mech. and Math. Special Issue , pp. 51-59
    • Payne, L.E.1
  • 15
    • 1842542848 scopus 로고
    • Extensions of two theorems of Payne to some nonlinear Dirichlet problems
    • Sperb, R.P.: Extensions of two theorems of Payne to some nonlinear Dirichlet problems. Z. Angew. Math. Phys. 26, 721-726 (1975)
    • (1975) Z. Angew. Math. Phys. , vol.26 , pp. 721-726
    • Sperb, R.P.1
  • 17
    • 0032073658 scopus 로고    scopus 로고
    • Nonlinear stability for saddle solutions of ideal flows and symmetry breaking
    • Wolansky, G., Ghil, M.: Nonlinear stability for saddle solutions of ideal flows and symmetry breaking. Commun. Math. Phys. 193, 713-736 (1998)
    • (1998) Commun. Math. Phys. , vol.193 , pp. 713-736
    • Wolansky, G.1    Ghil, M.2
  • 18
    • 0001489944 scopus 로고
    • Generic properties of eigenfunctions
    • Uhlenbeck, K.: Generic properties of eigenfunctions. Am. J. Math. 98(4), 1059-1078 (1976)
    • (1976) Am. J. Math. , vol.98 , Issue.4 , pp. 1059-1078
    • Uhlenbeck, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.