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Volumn 50, Issue SUPPL., 2001, Pages 1-34

3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity

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EID: 0012408816     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2001.50.2155     Document Type: Article
Times cited : (112)

References (40)
  • 1
    • 0000071902 scopus 로고
    • Small denominators. I. Mappings of the circumference onto itself
    • V.I. ARNOLD Small denominators. I. Mappings of the circumference onto itself, Amer. Math. Soc. Transl. Ser. 2 46 (1965), 213-284.
    • (1965) Amer. Math. Soc. Transl. Ser. 2 , vol.46 , pp. 213-284
    • Arnold, V.I.1
  • 4
    • 0010831910 scopus 로고
    • Long-time averaged Euler and Navier-Stokes equations for rotating fluids
    • K. Kirchgässner & A. Mielke, eds., World Scientific, 1995
    • A. BABIN, A. MAHALOV & B. NICOLAENKO (1995), Long-time averaged Euler and Navier-Stokes equations for rotating fluids, In: "Structure and Dynamics of Nonlinear Waves in Fluids", (K. Kirchgässner & A. Mielke, eds.), World Scientific, 1995, pp. 145-157.
    • (1995) Structure and Dynamics of Nonlinear Waves in Fluids , pp. 145-157
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 5
    • 0029695832 scopus 로고    scopus 로고
    • Global splitting, integrability and regularity of 3d Euler and Navier-Stokes equations for uniformly rotating fluids
    • _, Global splitting, integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids, European J. Mechanics B/ Fluids 15 (1996), 291-300.
    • (1996) European J. Mechanics B/ Fluids , vol.15 , pp. 291-300
  • 6
    • 0030313282 scopus 로고    scopus 로고
    • Resonances and regularity for Boussinesq equations
    • _, Resonances and regularity for Boussinesq equations, Russian J. Math. Physics 4 (1996), 417-428.
    • (1996) Russian J. Math. Physics , vol.4 , pp. 417-428
  • 7
    • 0000190618 scopus 로고    scopus 로고
    • Global regularity and integrability of 3D Euler and Navier-Stokes equations for uniformly rotating fluids
    • _, Global regularity and integrability of 3D Euler and Navier-Stokes equations for uniformly rotating fluids, Asymptotic Analysis, 15 (1997), 103-150.
    • (1997) Asymptotic Analysis , vol.15 , pp. 103-150
  • 8
    • 0038449701 scopus 로고    scopus 로고
    • Global regularity of 3D rotating Navier-Stokes equations for resonant domains
    • _, Global regularity of 3D rotating Navier-Stokes equations for resonant domains, Indiana Univ. Math. J. 48, (1999) 1133-1176.
    • (1999) Indiana Univ. Math. J. , vol.48 , pp. 1133-1176
  • 9
    • 0034383815 scopus 로고    scopus 로고
    • Global regularity of 3D primitive equations of geophysics for resonant domains
    • _, Global regularity of 3D primitive equations of geophysics for resonant domains, Mathematical Modelling and Numerical Analysis 34 (2000), 201-222.
    • (2000) Mathematical Modelling and Numerical Analysis , vol.34 , pp. 201-222
  • 10
    • 0040313563 scopus 로고    scopus 로고
    • Fast singular oscillating limits of stably stratified three-dimensional Euler-Boussinesq equations and ageostrophic wave fronts
    • to appear Cambridge University Press
    • _, Fast singular oscillating limits of stably stratified three-dimensional Euler-Boussinesq equations and ageostrophic wave fronts, to appear in Mathematics of Atmosphere and Ocean Dynamics, Cambridge University Press, 2001.
    • (2001) Mathematics of Atmosphere and Ocean Dynamics
  • 12
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3D Euler equations
    • J.T. BEALE, T. KATO & A. MAJDA, Remarks on the breakdown of smooth solutions for the 3D Euler equations, Commun. Math. Phys. 94, (1984), 61-66.
    • (1984) Commun. Math. Phys. , vol.94 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 13
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • L. CAFFARELLI, R. KOHN & L. NIRENBERG, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 35 (1982), 771-831.
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 14
    • 0000646280 scopus 로고
    • Direction of vorticity and the problem of global regularity for the Navier-Stokes equations
    • P. CONSTANTIN & CH. FEFFERMAN, Direction of vorticity and the problem of global regularity for the Navier-Stokes equations, Indiana Univ. Math. Journal 42 (1993), 775-789.
    • (1993) Indiana Univ. Math. Journal , vol.42 , pp. 775-789
    • Constantin, P.1    Fefferman, Ch.2
  • 16
    • 0000358588 scopus 로고
    • Statistical study of the Navier-Stokes equations, I
    • Padova
    • C. FOIAS, Statistical study of the Navier-Stokes equations, I, Rendiconti Sem. Mat. Univ. Padova 48 (1972), 219-348; II, idem, 49 (1973), 9-123.
    • (1972) Rendiconti Sem. Mat. Univ. , vol.48 , pp. 219-348
    • Foias, C.1
  • 17
    • 84875098841 scopus 로고
    • II
    • C. FOIAS, Statistical study of the Navier-Stokes equations, I, Rendiconti Sem. Mat. Univ. Padova 48 (1972), 219-348; II, idem, 49 (1973), 9-123.
    • (1973) Rendiconti Sem. Mat. Univ. , vol.49 , pp. 9-123
  • 19
    • 0039044573 scopus 로고
    • Homogeneous statistical solutions of the Navier-Stokes equations
    • C. FOIAS & R. TEMAM, Homogeneous statistical solutions of the Navier-Stokes equations, Indiana Univ. Math. J. 29 (1980), 913-957.
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 913-957
    • Foias, C.1    Temam, R.2
  • 21
    • 0038868531 scopus 로고
    • Resonant triad interactions in symmetric systems
    • J. GUCKENHEIMER & A. MAHALOV, Resonant triad interactions in symmetric systems, Physica D 54 (1992), 267-310.
    • (1992) Physica D , vol.54 , pp. 267-310
    • Guckenheimer, J.1    Mahalov, A.2
  • 22
    • 84944818416 scopus 로고
    • Über die anfangswertaufgabe für die hydrodynamischen grundgleichungen
    • E. HOPF, Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen, Math. Nachrichten 4 (1950-1951), 213-231.
    • (1950) Math. Nachrichten , vol.4 , pp. 213-231
    • Hopf, E.1
  • 27
    • 0000221349 scopus 로고
    • Essai sur les mouvements plans d'un liquide visqueux que limitent des parois
    • série 9
    • J. LERAY, Essai sur les mouvements plans d'un liquide visqueux que limitent des parois, J. Math. Pures Appl série 9 13 (1934), 331-418.
    • (1934) J. Math. Pures Appl , vol.13 , pp. 331-418
    • Leray, J.1
  • 28
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • _, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math. 63 (1934), p. 193-248.
    • (1934) Acta Math. , vol.63 , pp. 193-248
  • 31
    • 0000918413 scopus 로고
    • Sur la précession des corps déformables
    • H. POINCARÉ, Sur la précession des corps déformables, Bull. Astronomique 27 (1910), 321-356.
    • (1910) Bull. Astronomique , vol.27 , pp. 321-356
    • Poincaré, H.1
  • 32
    • 84968467415 scopus 로고
    • Navier-Stokes equations on thin 3D domains. I. Global attractors and global regularity of solutions
    • G. RAUGEL & G. SELL, Navier-Stokes equations on thin 3D domains. I. Global attractors and global regularity of solutions, J. Amer. Math. Soc. 6 (1993), 503-568.
    • (1993) J. Amer. Math. Soc. , vol.6 , pp. 503-568
    • Raugel, G.1    Sell, G.2
  • 33
    • 43949155251 scopus 로고
    • Fast singular limits of hyperbolic PDE's
    • S. SCHOCHET, Fast singular limits of hyperbolic PDE's, J. Diff. equations 114 (1994), 476-512.
    • (1994) J. Diff. Equations , vol.114 , pp. 476-512
    • Schochet, S.1
  • 34
    • 0002587254 scopus 로고    scopus 로고
    • Mathematical problems for the next century
    • S. SMALE, Mathematical Problems for the Next Century, Mathematical Intelligencer 20, 9 (1998), 7-15.
    • (1998) Mathematical Intelligencer , vol.20 , Issue.9 , pp. 7-15
    • Smale, S.1
  • 39
    • 0038868532 scopus 로고
    • Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations
    • M.I. VISHIK & A.V. FURSIKOV, Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations, Siberian Math. J. 19 (1978), 710-729.
    • (1978) Siberian Math. J. , vol.19 , pp. 710-729
    • Vishik, M.I.1    Fursikov, A.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.