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Volumn 362, Issue 6, 2010, Pages 2859-2873

Large, global solutions to the navier-stokes equations, slowly varying in one direction

Author keywords

Global wellposedness; Navier Stokes equations

Indexed keywords


EID: 77951630592     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-10-04744-6     Document Type: Article
Times cited : (90)

References (19)
  • 2
    • 0001809308 scopus 로고
    • Remarques sur l'existence pour le système de Navier-Stokes incompressible
    • MR1145160 (93a:35118)
    • J.-Y. Chemin, Remarques sur l'existence pour le système de Navier-Stokes incompressible, SIAM Journal on Mathematical Analysis, 23, 1992, pages 20-28. MR1145160 (93a:35118)
    • (1992) SIAM Journal on Mathematical Analysis , vol.23 , pp. 20-28
    • Chemin, J.-Y.1
  • 3
    • 33846021612 scopus 로고    scopus 로고
    • On the global wellposedness of the 3-D Navier-Stokes equations with large initial data
    • MR2290141
    • J.-Y. Chemin and I. Gallagher, On the global wellposedness of the 3-D Navier-Stokes equations with large initial data, Annales de l' École Normale Supérieure, 39, 2006, pages 679-698. MR2290141
    • (2006) Annales de l' École Normale Supérieure , vol.39 , pp. 679-698
    • Chemin, J.-Y.1    Gallagher2
  • 5
    • 34250947482 scopus 로고
    • On the Navier-Stokes initial value problem I
    • MR0166499 (29:3774)
    • H. Fujita and T. Kato, On the Navier-Stokes initial value problem I, Archive for Rational Mechanics and Analysis, 16, 1964, pages 269-315. MR0166499 (29:3774)
    • (1964) Archive for Rational Mechanics and Analysis , vol.16 , pp. 269-315
    • Fujita, H.1    Kato, T.2
  • 6
    • 0001604058 scopus 로고    scopus 로고
    • The Tridimensional Navier-Stokes Equations with Almost Bidimensional Data: Stability, Uniqueness, and Life Span
    • I. Gallagher, The tridimensional Navier-Stokes equations with almost bidimensional data: stability, uniqueness and life span, International Mathematical Research Notices, 18, 1997, pages 919-935. MR1481611 (98m:76049) (Pubitemid 127500578)
    • (1997) International Mathematics Research Notices , Issue.18 , pp. 918-935
    • Gallagher, I.1
  • 7
    • 1342347425 scopus 로고    scopus 로고
    • Stability and weak-strong uniqueness for axisymmetric solutions of the Navier-Stokes equations
    • I. Gallagher, D. Iftimie and F. Planchon, Asymptotics and stability for global solutions to the Navier-Stokes equations, Annales de l'Institut Fourier, 53, 2003, no.5, pages 1387-1424. MR2032938 (2005b:35219) (Pubitemid 36594522)
    • (2003) DIFFERENTIAL AND INTEGRAL EQUATIONS -ATHENS , vol.16 , Issue.5 , pp. 557-572
    • Gallagher, I.1
  • 8
    • 0021897767 scopus 로고
    • r OF THE NAVIER-STOKES INITIAL VALUE PROBLEM.
    • Y. Giga and T. Miyakawa, Solutions in Lr of the Navier-Stokes initial value problem, Archive for Rational Mechanics and Analysis, 89, 1985, no.3, pages 267-281. MR786550 (86m:35138) (Pubitemid 15567113)
    • (1985) Archive for Rational Mechanics and Analysis , vol.89 , Issue.3 , pp. 267-281
    • Giga Yoshikazu1    Miyakawa Tetsuro2
  • 9
    • 0031067804 scopus 로고    scopus 로고
    • Les équations de Navier-Stokes 3D vues comme une perturbation des équations de Navier-Stokes 2D
    • D. Iftimie, The 3D Navier-Stokes equations seen as a perturbation of the 2D Navier- Stokes equations, Bulletin de la Société Mathématique de France, 127, 1999, pages 473-517. MR1765551 (2001e:35139) (Pubitemid 127165904)
    • (1997) Comptes Rendus de l'Academie des Sciences - Series I: Mathematics , vol.324 , Issue.3 , pp. 271-274
    • Iftimie, D.1
  • 10
    • 34547452104 scopus 로고    scopus 로고
    • Navier-Stokes equations in thin 3D domains with Navier boundary conditions
    • MR2333468
    • D. Iftimie, G. Raugel and G.R. Sell, Navier-Stokes equations in thin 3D domains with Navier boundary conditions, Indiana University Mathematics Journal, 56, 2007, pages 1083-1156. MR2333468
    • (2007) Indiana University Mathematics Journal , vol.56 , pp. 1083-1156
    • Iftimie, D.1    Raugel, G.2    Sell, G.R.3
  • 11
    • 0035863969 scopus 로고    scopus 로고
    • Well-posedness for the Navier-Stokes equations
    • DOI 10.1006/aima.2000.1937
    • H. Koch and D. Tataru, Well-posedness for the Navier-Stokes equations, Advances in Mathematics, 157, 2001, pages 22-35. MR1808843 (2001m:35257) (Pubitemid 33382541)
    • (2001) Advances in Mathematics , vol.157 , Issue.1 , pp. 22-35
    • Koch, H.1    Tataru, D.2
  • 12
    • 17244378007 scopus 로고
    • The mathematical theory of viscous incompressible flow
    • Second English edition, revised and enlarged, Gordon and Breach Science Publishers, New York-London-Paris, MR0254401 (40:7610)
    • O. Ladyzhenskaya, The mathematical theory of viscous incompressible flow. Second English edition, revised and enlarged. Mathematics and its Applications, Vol.2. Gordon and Breach Science Publishers, New York-London-Paris, 1969, xviii+224 pp. MR0254401 (40:7610)
    • (1969) Mathematics and its Applications , vol.2
    • Ladyzhenskaya, O.1
  • 13
    • 0001684396 scopus 로고
    • Invariant helical subspaces for the Navier-Stokes equations
    • MR1076072 (91h:35252)
    • S. Leibovich, A. Mahalov and E. Titi, Invariant helical subspaces for the Navier-Stokes equations. Arch. Rational Mech. Anal., 112, 1990, no.3, pages 193-222. MR1076072 (91h:35252)
    • (1990) Arch. Rational Mech. Anal. , vol.112 , Issue.3 , pp. 193-222
    • Leibovich, S.1    Mahalov, A.2    Titi, E.3
  • 14
    • 51249193194 scopus 로고
    • Essai sur le mouvement d'un liquide visqueux emplissant l'espace
    • J. Leray, Essai sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Matematica, 63, 1933, pages 193-248.
    • (1933) Acta Matematica , vol.63 , pp. 193-248
    • Leray, J.1
  • 15
    • 0041653250 scopus 로고    scopus 로고
    • Global solvability of three-dimensional Navier-Stokes equations with uniformly high initial vorticity, (Russian. Russian summary)
    • translation in, Russian Math. Surveys, MR1992565 (2004h:35177)
    • A. Mahalov and B. Nicolaenko, Global solvability of three-dimensional Navier-Stokes equations with uniformly high initial vorticity, (Russian. Russian summary) Uspekhi Mat. Nauk, 58, 2003, pages 79-110; translation in Russian Math. Surveys, 58, 2003, pages 287-318. MR1992565 (2004h:35177)
    • (2003) Uspekhi Mat. Nauk , vol.58 , Issue.2003 , pp. 287-318
    • Mahalov, A.1    Nicolaenko, B.2
  • 16
    • 21344484568 scopus 로고
    • Global Stability of Large Solutions to the 3D Navier-Stokes Equations
    • G. Ponce, R. Racke, T. Sideris and E. Titi, Global stability of large solutions to the 3D Navier-Stokes equations, Comm. Math. Phys., 159, 1994, no.2, pages 329-341. MR1256992 (95a:35115) (Pubitemid 24759208)
    • (1994) Communications in Mathematical Physics , vol.159 , Issue.2 , pp. 329
    • Ponce, G.1    Racke, R.2    Sideris, T.C.3    Titi, E.S.4
  • 17
    • 84968467415 scopus 로고
    • Navier-Stokes equations on thin 3D domains. I. Global attractors and global regularity of solutions
    • MR1179539 (93j:35134)
    • G. Raugel and G.R. Sell, Navier-Stokes equations on thin 3D domains. I. Global attractors and global regularity of solutions, Journal of the American Mathematical Society, 6, 1993, pages 503-568. MR1179539 (93j:35134)
    • (1993) Journal of the American Mathematical Society , vol.6 , pp. 503-568
    • Raugel, G.1    Sell, G.R.2
  • 18
    • 0042096896 scopus 로고
    • Axially symmetric flows of ideal and viscous fluids filling the whole space
    • (Russian)
    • M. Ukhovskii and V. Iudovich, Axially symmetric flows of ideal and viscous fluids filling the whole space, Prikl. Mat. Meh., 32, 1968, pages 59-69 (Russian);
    • (1968) Prikl. Mat. Meh. , vol.32 , pp. 59-69
    • Ukhovskii, M.1    Iudovich, V.2
  • 19
    • 0042598003 scopus 로고
    • translated as, MR0239293 (39:650)
    • translated as J. Appl. Math. Mech., 32, 1968, pages 52-61. MR0239293 (39:650)
    • (1968) J. Appl. Math. Mech. , vol.32 , pp. 52-61


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.