메뉴 건너뛰기




Volumn 1998, Issue , 1998, Pages 1-23

Stability estimate for strong solutions of the Navier-Stokes system and its applications

Author keywords

Navier Stokes system; Non blowup condition; Stability; Strong solutions; Uniqueness

Indexed keywords


EID: 0006768929     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (21)

References (20)
  • 1
    • 21844518574 scopus 로고
    • Remarks on the preceding paper by M. Ben-Artzi "Global solutions of two-dimensional Navier-Stokes and Euler equations"
    • [B]
    • [B] H. Brezis, Remarks on the preceding paper by M. Ben-Artzi "Global solutions of two-dimensional Navier-Stokes and Euler equations", Arch. Rat. Mech. Anal. 128 (1994), 359-360.
    • (1994) Arch. Rat. Mech. Anal. , vol.128 , pp. 359-360
    • Brezis, H.1
  • 2
    • 46149140458 scopus 로고
    • p and regularity of weak solutions of the Navier-Stokes system
    • [G]
    • p and regularity of weak solutions of the Navier-Stokes system, J. Differential Eqns 62 (1986), 186-212.
    • (1986) J. Differential Eqns , vol.62 , pp. 186-212
    • Giga, Y.1
  • 3
    • 0021897767 scopus 로고
    • r of the the Navier-Stokes initial value problem
    • [GM]
    • r of the the Navier-Stokes initial value problem, Arch. Rat. Mech. Anal. 89 (1985), 267-281.
    • (1985) Arch. Rat. Mech. Anal. , vol.89 , pp. 267-281
    • Giga, Y.1    Miyakawa, T.2
  • 4
    • 0000911759 scopus 로고
    • m with applications to weak solutions
    • [K]
    • m with applications to weak solutions, Math. Z. 187 (1984),471-480.
    • (1984) Math. Z. , vol.187 , pp. 471-480
    • Kato, T.1
  • 7
    • 0030363289 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity
    • [Ka2]
    • [Ka2] T. Kawanago, Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity, Annal. Inst. H. Poincaré - Analyse nonlinéaire 13 (1996) 1-15.
    • (1996) Annal. Inst. H. Poincaré - Analyse Nonlinéaire , vol.13 , pp. 1-15
    • Kawanago, T.1
  • 8
    • 3342999716 scopus 로고
    • Stability of global strong solutions of the Navier-Stokes equations
    • [Ka3]
    • [Ka3] T. Kawanago, Stability of global strong solutions of the Navier-Stokes equations, RIMS kōkyūroku Vol. 913 (1995) 141-147.
    • (1995) RIMS Kōkyūroku , vol.913 , pp. 141-147
    • Kawanago, T.1
  • 10
    • 3342934377 scopus 로고    scopus 로고
    • [Ka5] In preparation
    • [Ka5] T. Kawanago, In preparation.
    • Kawanago, T.1
  • 12
    • 84972564208 scopus 로고
    • Weak solutions of the Navier-Stokes equations
    • [M]
    • [M] K. Masuda, Weak solutions of the Navier-Stokes equations, Tôhoku Math. J. 36 (1984), 623-646.
    • (1984) Tôhoku Math. J. , vol.36 , pp. 623-646
    • Masuda, K.1
  • 13
    • 0000171359 scopus 로고
    • Global solutions for some nonlinear parabolic equationswith nonmonotonic perturbations
    • [N]
    • [N] M. Nakao, Global solutions for some nonlinear parabolic equationswith nonmonotonic perturbations, Nonlin. Anal. 10 (1986), 299-314.
    • (1986) Nonlin. Anal. , vol.10 , pp. 299-314
    • Nakao, M.1
  • 14
    • 21344484568 scopus 로고
    • Global Stability of Large Solutions to the 3D Navier-Stokes equations
    • [PRST]
    • [PRST] G. Ponce, R. Racke, T.C. Sideris and E.S. Titi, Global Stability of Large Solutions to the 3D Navier-Stokes equations, Comm. Math. Phys. 159 (1994), 329-341.
    • (1994) Comm. Math. Phys. , vol.159 , pp. 329-341
    • Ponce, G.1    Racke, R.2    Sideris, T.C.3    Titi, E.S.4
  • 16
    • 0001807443 scopus 로고
    • The initial value problem for the Navier-Stokes equations
    • [Se] Univ. Wisconsin Press (R.E. Langer Ed.)
    • [Se] J.Serrin, The initial value problem for the Navier-Stokes equations, In: "Nonlinear Problems, Univ. Wisconsin Press (R.E. Langer Ed.), 69-98, 1963.
    • (1963) Nonlinear Problems , pp. 69-98
    • Serrin, J.1
  • 18
    • 49949123887 scopus 로고
    • Axially symmetric flows of ideal and viscous fluids filling the whole space
    • [UI]
    • [UI] M.R. Ukhovskii and V.I. Iudovich, Axially symmetric flows of ideal and viscous fluids filling the whole space, J. Appl. Math. Mech. 32 (1968), 52-62.
    • (1968) J. Appl. Math. Mech. , vol.32 , pp. 52-62
    • Ukhovskii, M.R.1    Iudovich, V.I.2
  • 19
    • 0004905980 scopus 로고
    • p-Stability for the strong solutionsof the Navier-Stokes equations in the whole space
    • [VS]
    • p-Stability for the strong solutionsof the Navier-Stokes equations in the whole space, Arch. Rat. Mech. Anal.98 (1987), 65-70.
    • (1987) Arch. Rat. Mech. Anal. , vol.98 , pp. 65-70
    • Veiga, H.B.1    Secchi, P.2
  • 20
    • 0001843126 scopus 로고
    • p for strong solutions of the Cauchy problem for the Navier-Stokes equations
    • [Wi] The Navier-Stokes equations (J.G. Heywood ed.)
    • p for strong solutions of the Cauchy problem for the Navier-Stokes equations, in The Navier-Stokes equations (J.G. Heywood ed.), Lecture Notes Math. 1431 (1990), 95-99.
    • (1990) Lecture Notes Math. , vol.1431 , pp. 95-99
    • Wiegner, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.