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Volumn 1, Issue 4, 1996, Pages 499-546

Navier-stokes equations in three-dimensional thin domains with various boundary conditions

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EID: 0000502277     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (117)

References (35)
  • 2
    • 0028495521 scopus 로고
    • Inertial effects in the asymptotic behavior of a thin film flow
    • A. Assemien, G. Byada and M. Chambat, Inertial effects in the asymptotic behavior of a thin film flow,, Asymptotic Analysis 9 (1994), 177-208.
    • (1994) Asymptotic Analysis , vol.9 , pp. 177-208
    • Assemien, A.1    Byada, G.2    Chambat, M.3
  • 4
    • 0001663212 scopus 로고
    • Su un problema al contorno relativo al sistema di equazioni di Stokes
    • L. Cattabriga, Su un problema al contorno relativo al sistema di equazioni di Stokes,, Rend. Mat. Sem. Univ. Padova 31 (1961), 308-340.
    • (1961) Rend. Mat. Sem. Univ. Padova , vol.31 , pp. 308-340
    • Cattabriga, L.1
  • 8
    • 0002307515 scopus 로고
    • Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. Part I: Linearized equations
    • M. Dauge, Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. Part I: Linearized equations, SIAM J. Math. Anal 20 (1984), 74-97.
    • (1984) SIAM J. Math. Anal , vol.20 , pp. 74-97
    • Dauge, M.1
  • 9
    • 84963487888 scopus 로고
    • New and a priori estimates for Navier-Stokes equations in dimension 3
    • C. Foias, C. Guillopé and R. Temam, New and a priori estimates for Navier-Stokes equations in dimension 3, Comm. Partial Differential Equations 6 (1981), 329-359.
    • (1981) Comm. Partial Differential Equations , vol.6 , pp. 329-359
    • Foias, C.1    Guillopé, C.2    Temam, R.3
  • 10
    • 33845231586 scopus 로고
    • Régularité des solutions de certains problèmes aux limites linéaires liés aux équations d'Euler
    • J.M. Ghidaglia, Régularité des solutions de certains problèmes aux limites linéaires liés aux équations d'Euler, Comm. Partial Differential Equations 9 (1984), 1265-1298.
    • (1984) Comm. Partial Differential Equations , vol.9 , pp. 1265-1298
    • Ghidaglia, J.M.1
  • 13
    • 0002081870 scopus 로고
    • Reaction diffusion equations on thin domains
    • J.K. Hale and G. Raugel, Reaction diffusion equations on thin domains, J. Math. Pures Appl. 71 (1992a), 33-95.
    • (1992) J. Math. Pures Appl. , vol.71 , pp. 33-95
    • Hale, J.K.1    Raugel, G.2
  • 14
    • 0001512085 scopus 로고
    • A damped hyperbolic equation on thin domains
    • J.K. Hale, A damped hyperbolic equation on thin domains, Tran. Amer. Math. Soc. 329 (1992b), 185-219.
    • (1992) Tran. Amer. Math. Soc. , vol.329 , pp. 185-219
    • Hale, J.K.1
  • 15
    • 0009349139 scopus 로고
    • On the existence and uniqueness of the solution of the nonstationary problem for a viscous incompressible fluid
    • A. Kiselev and O.A. Ladyzhenskaya, On the existence and uniqueness of the solution of the nonstationary problem for a viscous incompressible fluid, Izv. Akad. Nauk SSSR Ser. Mat. 21 (1957), 655-680.
    • (1957) Izv. Akad. Nauk SSSR Ser. Mat. , vol.21 , pp. 655-680
    • Kiselev, A.1    Ladyzhenskaya, O.A.2
  • 18
    • 0000221349 scopus 로고
    • Essai sur les mouvements plans d'un liquide visqueux que limitent des parois
    • J. Leray, Essai sur les mouvements plans d'un liquide visqueux que limitent des parois, J. Math. Pures Appl. 13 (1934a), 331-418.
    • (1934) J. Math. Pures Appl. , vol.13 , pp. 331-418
    • Leray, J.1
  • 19
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math. 63 (1934b), 193-248.
    • (1934) Acta Math. , vol.63 , pp. 193-248
    • Leray, J.1
  • 22
    • 0040411673 scopus 로고
    • Equations de Navier-Stokes dans des domaines minces en dimension trois: régularité globale
    • G. Raugel and G. Sell, Equations de Navier-Stokes dans des domaines minces en dimension trois: régularité globale, C.R. Acad. Sci. Paris Sér. I Math 309 (1989), 299-303.
    • (1989) C.R. Acad. Sci. Paris Sér. I Math , vol.309 , pp. 299-303
    • Raugel, G.1    Sell, G.2
  • 24
    • 84968467415 scopus 로고
    • Navier-Stokes equations on thin 3D domains. I: Global attractors and global regularity of solutions
    • G. Raugel, Navier-Stokes equations on thin 3D domains. I: Global attractors and global regularity of solutions, J. Amer. Math. Society 6 (1993), 503-568.
    • (1993) J. Amer. Math. Society , vol.6 , pp. 503-568
    • Raugel, G.1
  • 25
    • 84894544509 scopus 로고
    • 3rd Revised Edition, Studies in Mathematics and its Applications, North-Holland
    • R. Temam, Navier-Stokes Equations, 3rd Revised Edition, Studies in Mathematics and its Applications 2, North-Holland, 1984.
    • (1984) Navier-Stokes Equations , vol.2
    • Temam, R.1
  • 26
    • 0003300957 scopus 로고
    • Navier-Stokes Equations and nonlinear functional analysis
    • SIAM, Philadelphia
    • R. Temam, Navier-Stokes Equations and nonlinear functional analysis, CBMS Regional Conference Series, No. 41, SIAM, Philadelphia, 1983.
    • (1983) CBMS Regional Conference Series , vol.41
    • Temam, R.1
  • 35
    • 33749650379 scopus 로고
    • Inequalities for functions of the class !Wp(Rn)
    • J. of Soviet Math. 549-564
    • V.A. Solonnikov, Inequalities for functions of the class !Wp(Rn), Ziap. Nauen. Sem. Leningrad, otdel. mat. Inst. Steklov, 27 (1972), 194-210. J. of Soviet Math. (4) Vol. 3 (1975), 549-564.
    • (1972) Ziap. Nauen. Sem. Leningrad, otdel. mat. Inst. Steklov , vol.3-27 , Issue.4 , pp. 194-210
    • Solonnikov, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.