메뉴 건너뛰기




Volumn 126, Issue 3, 1996, Pages 677-685

On the decay of higher-order norms of the solutions of Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21344449035     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500022976     Document Type: Article
Times cited : (158)

References (20)
  • 1
    • 0001641776 scopus 로고
    • p decay for the Navier-Stokes flows in unbounded domains with application to exterior stationary flows
    • p decay for the Navier-Stokes flows in unbounded domains with application to exterior stationary flows. Arch. Rational Mech. Anal. 118 (1992), 273-95.
    • (1992) Arch. Rational Mech. Anal. , vol.118 , pp. 273-295
    • Borchers, W.1    Miyakawa, T.2
  • 2
    • 0039565203 scopus 로고
    • On the boundedness of the Stokes semigroup in two-dimensional exterior domains
    • W. Borchers and W. Varnhorn. On the boundedness of the Stokes semigroup in two-dimensional exterior domains. Math. Z. 213 (1993), 275-99.
    • (1993) Math. Z. , vol.213 , pp. 275-299
    • Borchers, W.1    Varnhorn, W.2
  • 3
    • 0001967348 scopus 로고
    • Monotonic decreasing and asymptotic behaviour of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains
    • G. P. Galdi and P. Maremonti. Monotonic decreasing and asymptotic behaviour of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains. Arch. Rational Mech. Anal. 94 (1986), 253-66.
    • (1986) Arch. Rational Mech. Anal. , vol.94 , pp. 253-266
    • Galdi, G.P.1    Maremonti, P.2
  • 4
    • 0000509826 scopus 로고
    • The Navier-Stokes equations: On the existence, regularity and decay of solutions
    • J. G. Heywood. The Navier-Stokes equations: on the existence, regularity and decay of solutions. Indiana Univ. Math. J. 29 (1980), 639-81.
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 639-681
    • Heywood, J.G.1
  • 5
  • 6
    • 84972517067 scopus 로고
    • Stability of higher norms in terms of energy-stability for the Boussinesq-equations. Remarks on the asymptotic behaviour of convection-roll-type solutions
    • Y. Kagei and W. von Wahl. Stability of higher norms in terms of energy-stability for the Boussinesq-equations. Remarks on the asymptotic behaviour of convection-roll-type solutions. Differential and Integral Equations 7 (1994), 921-48.
    • (1994) Differential and Integral Equations , vol.7 , pp. 921-948
    • Kagei, Y.1    Von Wahl, W.2
  • 8
    • 0000911759 scopus 로고
    • m, with applications to weak solutions
    • m, with applications to weak solutions. Math. Z. 187 (1984), 471-80.
    • (1984) Math. Z. , vol.187 , pp. 471-480
    • Kato, T.1
  • 9
    • 51249168434 scopus 로고
    • p for turbulent solutions of the Navier-Stokes equations in exterior domains
    • p for turbulent solutions of the Navier-Stokes equations in exterior domains. Manusripta Math. 74 (1992), 253-75.
    • (1992) Manusripta Math. , vol.74 , pp. 253-275
    • Kozono, H.1    Ogawa, T.2    Sohr, H.3
  • 10
    • 21144466454 scopus 로고
    • Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains
    • H. Kozono and T. Ogawa. Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains. Arch. Rational Mech. Anal. 122 (1993), 1-17.
    • (1993) Arch. Rational Mech. Anal. , vol.122 , pp. 1-17
    • Kozono, H.1    Ogawa, T.2
  • 11
    • 0038202965 scopus 로고
    • 2-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains
    • 2-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains. Comm. Math. Phys. 118 (1988), 385-400.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 385-400
    • Maremonti, P.1
  • 12
    • 0001415568 scopus 로고
    • 2 for weak solutions of the Navier-Stokes equations in exterior domains
    • 2 for weak solutions of the Navier-Stokes equations in exterior domains. Math. Z. 199 (1988), 455-78.
    • (1988) Math. Z. , vol.199 , pp. 455-478
    • Miyakawa, T.1    Sohr, H.2
  • 13
    • 0021859089 scopus 로고
    • 2-decay for weak solutions of the Navier-Stokes equations
    • 2-decay for weak solutions of the Navier-Stokes equations. Arch. Rational Mech. Anal. 88 (1985), 209-22.
    • (1985) Arch. Rational Mech. Anal. , vol.88 , pp. 209-222
    • Schonbek, M.E.1
  • 14
    • 53149140574 scopus 로고
    • Large-time behaviour of solutions of the Navier-Stokes equations
    • M. E. Schonbek. Large-time behaviour of solutions of the Navier-Stokes equations. Comm. Partial Differential Equations 11 (1986), 753-63.
    • (1986) Comm. Partial Differential Equations , vol.11 , pp. 753-763
    • Schonbek, M.E.1
  • 15
    • 84968480726 scopus 로고
    • Lower bounds of rates of decay for solutions to the Navier-Stokes equations
    • M. E. Schonbek. Lower bounds of rates of decay for solutions to the Navier-Stokes equations. J. Amer. Math. Soc. 4 (1991), 423-49.
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 423-449
    • Schonbek, M.E.1
  • 19
    • 0001843126 scopus 로고
    • p for strong solutions of the Cauchy problem for the Navier-Stokes equations
    • The Navier-Stokes Equations, Theory and Numerical Methods, eds J. G. Heywood et al., Proceedings Oberwolfach, Berlin: Springer
    • p for strong solutions of the Cauchy problem for the Navier-Stokes equations. In The Navier-Stokes Equations, Theory and Numerical Methods, eds J. G. Heywood et al., Proceedings Oberwolfach, Lecture Notes in Mathematics 1431, 95-9 (Berlin: Springer, 1990).
    • (1990) Lecture Notes in Mathematics , vol.1431 , pp. 95-99
    • Wiegner, M.1
  • 20
    • 0001310526 scopus 로고
    • ∞-norm of solutions of the Navier-Stokes equations in unbounded domains
    • Proceedings of 'Mathematical problems for Navier-Stokes equations, Cento 1993'
    • ∞-norm of solutions of the Navier-Stokes equations in unbounded domains. In Proceedings of 'Mathematical problems for Navier-Stokes equations, Cento 1993', Acta Appl. Math. 37 (1994), 215-19.
    • (1994) Acta Appl. Math. , vol.37 , pp. 215-219
    • Wiegner, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.