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Volumn 302, Issue 2, 2005, Pages 543-556

A note on nonlinear stability of plane parallel shear flows

Author keywords

Energy functional; Lyapunov method; Nonlinear stability; Parallel shear flows

Indexed keywords


EID: 10644263348     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.08.025     Document Type: Article
Times cited : (22)

References (19)
  • 1
    • 34250488505 scopus 로고
    • Bounds on the transport of mass and momentum by turbulent flow between parallel plates
    • F.H. Busse Bounds on the transport of mass and momentum by turbulent flow between parallel plates Z. Angew. Math. Phys. 20 1969 1-14
    • (1969) Z. Angew. Math. Phys. , vol.20 , pp. 1-14
    • Busse, F.H.1
  • 2
    • 0015481834 scopus 로고
    • A property of the energy stability limit for plane parallel shear flow
    • F.H. Busse A property of the energy stability limit for plane parallel shear flow Arch. Rational Mech. Anal. 47 1972 28-35
    • (1972) Arch. Rational Mech. Anal. , vol.47 , pp. 28-35
    • Busse, F.H.1
  • 3
    • 84957325175 scopus 로고
    • Finite-amplitude perturbation in plane Couette flow
    • O. Dauchot F. Daviaud Finite-amplitude perturbation in plane Couette flow Europhys. Lett. 28 1994 225-230
    • (1994) Europhys. Lett. , vol.28 , pp. 225-230
    • Dauchot, O.1    Daviaud, F.2
  • 6
    • 0000717485 scopus 로고
    • A new approach to the energy theory in the stability of fluid motion
    • G.P. Galdi M. Padula A new approach to the energy theory in the stability of fluid motion Arch. Rational Mech. Anal. 110 1990 187-286
    • (1990) Arch. Rational Mech. Anal. , vol.110 , pp. 187-286
    • Galdi, G.P.1    Padula, M.2
  • 7
    • 0034341944 scopus 로고    scopus 로고
    • The onset of shear flow turbulence
    • S. Grossmann The onset of shear flow turbulence Rev. Modern Phys. 72 2000 603-618
    • (2000) Rev. Modern Phys. , vol.72 , pp. 603-618
    • Grossmann, S.1
  • 8
    • 0000983025 scopus 로고
    • Nonlinear stability of the Boussinesq equations by the method of energy
    • D.D. Joseph Nonlinear stability of the Boussinesq equations by the method of energy Arch. Rational Mech. Anal. 22 1966 163-184
    • (1966) Arch. Rational Mech. Anal. , vol.22 , pp. 163-184
    • Joseph, D.D.1
  • 10
    • 0035537078 scopus 로고    scopus 로고
    • Bounds on the energy stability limit of plane parallel shear flows
    • R. Kaiser B. Schmitt Bounds on the energy stability limit of plane parallel shear flows Z. Angew. Math. Phys. 52 2001 573-596
    • (2001) Z. Angew. Math. Phys. , vol.52 , pp. 573-596
    • Kaiser, R.1    Schmitt, B.2
  • 11
    • 10644242135 scopus 로고    scopus 로고
    • On the generalized energy method for channel flows
    • R. Monaco M. Pandolfi Bianchi S. Rionero (Eds.) 2002 World Scientific Porto Ercole
    • R. Kaiser A. Tilgner On the generalized energy method for channel flows in: R. Monaco M. Pandolfi Bianchi S. Rionero (Eds.), Proceedings of the 11th Conference on Waves and Stability in Continuous Media, Porto Ercole, 2001 2002 World Scientific 259-270
    • (2001) Proceedings of the 11th Conference on Waves and Stability in Continuous Media , pp. 259-270
    • Kaiser, R.1    Tilgner, A.2
  • 12
    • 10644223861 scopus 로고    scopus 로고
    • A generalized energy functional for plane Couette flow
    • submitted for publication
    • R. Kaiser, A. Tilgner, W. von Wahl, A generalized energy functional for plane Couette flow, 2004, submitted for publication
    • (2004)
    • Kaiser, R.1    Tilgner, A.2    von Wahl, W.3
  • 13
    • 0004413456 scopus 로고    scopus 로고
    • Nonlinear stability of the rotating Bénard problem, the case Pr=1
    • R. Kaiser L.X. Xu Nonlinear stability of the rotating Bénard problem, the case Pr = 1 Nonlinear Differential Equations Appl. 5 1998 283-307
    • (1998) Nonlinear Differential Equations Appl. , vol.5 , pp. 283-307
    • Kaiser, R.1    Xu, L.X.2
  • 14
    • 0002443725 scopus 로고
    • The stability or instability of steady motions of a liquid, Part II: A viscous liquid
    • W.McF. Orr The stability or instability of steady motions of a liquid, Part II: A viscous liquid Proc. Roy. Irish Acad. Sect. A 27 1907 69-138
    • (1907) Proc. Roy. Irish Acad. Sect. A , vol.27 , pp. 69-138
    • Orr, W.McF.1
  • 15
    • 0342377783 scopus 로고
    • On the nonlinear stability of parallel shear flows
    • S. Rionero G. Mulone On the nonlinear stability of parallel shear flows Contin. Mech. Thermodyn. 3 1991 1-11
    • (1991) Contin. Mech. Thermodyn. , vol.3 , pp. 1-11
    • Rionero, S.1    Mulone, G.2
  • 16
    • 0000765330 scopus 로고
    • Stability of plane-parallel Couette flow
    • V.A. Romanov Stability of plane-parallel Couette flow Funct. Anal. Appl. 7 1973 137-146
    • (1973) Funct. Anal. Appl. , vol.7 , pp. 137-146
    • Romanov, V.A.1
  • 18
    • 0001753903 scopus 로고
    • Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq-equations
    • J.G. Heywood K. Masuda R. Rautmann S.A. Solonnikov (Eds.) The Navier-Stokes Equations II-Theory and Numerical Methods, Proceedings, Oberwolfach, 1991 Berlin: Springer
    • B.J. Schmitt W. von Wahl Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq-equations in: J.G. Heywood K. Masuda R. Rautmann S.A. Solonnikov (Eds.), The Navier-Stokes Equations II-Theory and Numerical Methods, Proceedings, Oberwolfach, 1991 in: Lecture Notes in Math. vol. 1530 1992 Springer Berlin 291-305
    • (1992) Lecture Notes in Math. , vol.1530 , pp. 291-305
    • Schmitt, B.J.1    von Wahl, W.2
  • 19
    • 21844496785 scopus 로고
    • Necessary and sufficient conditions for the stability of flows of incompressible viscous fluids
    • W. von Wahl Necessary and sufficient conditions for the stability of flows of incompressible viscous fluids Arch. Rational Mech. Anal. 126 1994 103-129
    • (1994) Arch. Rational Mech. Anal. , vol.126 , pp. 103-129
    • von Wahl, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.