메뉴 건너뛰기




Volumn 97, Issue 3, 1999, Pages 4085-4108

Junctions of singularly degenerating domains with different limit dimensions. II

(1)  Nazarov, S A a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33746518828     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02366142     Document Type: Article
Times cited : (14)

References (48)
  • 1
    • 0001793850 scopus 로고    scopus 로고
    • Junctions of singularly degenerating domains with different limit dimensions. I
    • S. A. Nazarov, "Junctions of singularly degenerating domains with different limit dimensions. I," Trudy Seminara imeni I. G. Petrovskogo, No. 18, 3-78 (1996).
    • (1996) Trudy Seminara Imeni I. G. Petrovskogo , Issue.18 , pp. 3-78
    • Nazarov, S.A.1
  • 5
    • 3242811827 scopus 로고
    • Modelisation de la jonction enter un corps élastique tridimensionnel et une plaque
    • Ser. 1
    • P. G. Ciarlet, H. Le Dret, and R. Nzengwa, "Modelisation de la jonction enter un corps élastique tridimensionnel et une plaque," C. R. Acad. Sci. Paris, Ser. 1, 305, 55-58 (1987).
    • (1987) C. R. Acad. Sci. Paris , vol.305 , pp. 55-58
    • Ciarlet, P.G.1    Le Dret, H.2    Nzengwa, R.3
  • 6
    • 0024734369 scopus 로고
    • Numerical study of a junction between a three-dimensional elastic structure and a plate
    • M. Aufrans, "Numerical study of a junction between a three-dimensional elastic structure and a plate," Computer Methods Appl Mech. Eng., 74, 207-222 (1989).
    • (1989) Computer Methods Appl Mech. Eng. , vol.74 , pp. 207-222
    • Aufrans, M.1
  • 7
    • 0025594754 scopus 로고
    • Approximation of a two-dimensional problem of junction
    • D. Leguillon and E. Sanchez-Palencia, "Approximation of a two-dimensional problem of junction," Computational Mech., 6, 435-455 (1990).
    • (1990) Computational Mech. , vol.6 , pp. 435-455
    • Leguillon, D.1    Sanchez-Palencia, E.2
  • 8
    • 0013405766 scopus 로고
    • Structures très minces en élasticité linearisée: Tours et grillages
    • Ser. 1
    • D. Cioranescu and J. S. Jean Paulin, "Structures très minces en élasticité linearisée: tours et grillages," C. R. Acad. Sci. Paris, Ser. 1, 308, 41-48 (1989).
    • (1989) C. R. Acad. Sci. Paris , vol.308 , pp. 41-48
    • Cioranescu, D.1    Paulin, J.S.J.2
  • 9
    • 27844579086 scopus 로고
    • The homogenization of fields in composite materials with high-modulus armature
    • G. P. Panasenko, "The homogenization of fields in composite materials with high-modulus armature," Vestn. Mosk. Univ., Vychisl. Mat. Kibern., No. 2, 20-27 (1983).
    • (1983) Vestn. Mosk. Univ., Vychisl. Mat. Kibern. , Issue.2 , pp. 20-27
    • Panasenko, G.P.1
  • 10
    • 0000079062 scopus 로고
    • Un type de jonction bidimensionelle d'une tige et d'un massif élastiques
    • Ser. 11
    • B. Mampassi, "Un type de jonction bidimensionelle d'une tige et d'un massif élastiques," C. R. Acad. Sci. Paris, Ser. 11, 315, 261-266 (1992).
    • (1992) C. R. Acad. Sci. Paris , vol.315 , pp. 261-266
    • Mampassi, B.1
  • 11
    • 0004834541 scopus 로고
    • Junction problem of shashlik (skewer) type
    • Ser. 1
    • I. I. Argatov and S. A. Nazarov, "Junction problem of shashlik (skewer) type," C. R. Acad. Sci. Paris, Ser. 1 316, 1329-1334 (1993).
    • (1993) C. R. Acad. Sci. Paris , vol.316 , pp. 1329-1334
    • Argatov, I.I.1    Nazarov, S.A.2
  • 12
    • 0000992219 scopus 로고
    • The construction of an approximate theory of plate bending by the method for approximate integration of the equations of elasticity theory
    • A. L. Goldenveiser, "The construction of an approximate theory of plate bending by the method for approximate integration of the equations of elasticity theory," Prikl. Mat. Mekh., 26, No. 4, 668-686 (1962).
    • (1962) Prikl. Mat. Mekh. , vol.26 , Issue.4 , pp. 668-686
    • Goldenveiser, A.L.1
  • 13
    • 3843137541 scopus 로고
    • Asymptotics for solutions to the boundary-value problem for elliptic equations in thin domains
    • M. G. Dzhavadov, "Asymptotics for solutions to the boundary-value problem for elliptic equations in thin domains," Differents. Uravn., 4, No. 10, 1901-1909 (1968).
    • (1968) Differents. Uravn. , vol.4 , Issue.10 , pp. 1901-1909
    • Dzhavadov, M.G.1
  • 14
    • 0343877078 scopus 로고
    • The structure of solutions of elliptic boundary-value problems in thin domains
    • S. A. Nazarov, "The structure of solutions of elliptic boundary-value problems in thin domains," Vestn. LGU, No. 7, 65-68 (1982).
    • (1982) Vestn. LGU , Issue.7 , pp. 65-68
    • Nazarov, S.A.1
  • 15
    • 0010013207 scopus 로고
    • Asymptotics for solutions to problems of elasticity theory in thin domains
    • V. V. Kucherenko and V. A. Popov, "Asymptotics for solutions to problems of elasticity theory in thin domains," Dokl. Akad. Nauk SSSR, 274, No. 1, 58-61 (1984).
    • (1984) Dokl. Akad. Nauk SSSR , vol.274 , Issue.1 , pp. 58-61
    • Kucherenko, V.V.1    Popov, V.A.2
  • 17
    • 0021398742 scopus 로고
    • Decaying states of plane in a semi-infinite strip and boundary conditions for plate theory
    • R. D. Gregory and F. V. Wan, "Decaying states of plane in a semi-infinite strip and boundary conditions for plate theory," J. Elast., 14, No. 1, 27-64 (1984).
    • (1984) J. Elast. , vol.14 , Issue.1 , pp. 27-64
    • Gregory, R.D.1    Wan, F.V.2
  • 18
    • 0001824379 scopus 로고
    • The homogenization of boundary value problems in a domain containing a thin cavity with a periodically varying cross-section
    • S. A. Nazarov, "The homogenization of boundary value problems in a domain containing a thin cavity with a periodically varying cross-section," Tr. Mosk. Mat. Obshch., 53, 98-128 (1990).
    • (1990) Tr. Mosk. Mat. Obshch. , vol.53 , pp. 98-128
    • Nazarov, S.A.1
  • 19
    • 0010011840 scopus 로고
    • Asymptotics of the spectrum of Neumann problem in a degenerated thin domain
    • S. A. Nazarov and B. A. Plamenevskij, "Asymptotics of the spectrum of Neumann problem in a degenerated thin domain," Algebra Anal., 2, No. 2, 85-111 (1990).
    • (1990) Algebra Anal. , vol.2 , Issue.2 , pp. 85-111
    • Nazarov, S.A.1    Plamenevskij, B.A.2
  • 20
    • 0343441369 scopus 로고
    • The asymptotics for the solution to a boundary-value problem in a thin cylinder with nonsmooth lateral area
    • S. A. Nazarov, "The asymptotics for the solution to a boundary-value problem in a thin cylinder with nonsmooth lateral area," Izv. Ross. Akad. Nauk, Ser. Mat., 53, No. 1, 202-239 (1993).
    • (1993) Izv. Ross. Akad. Nauk, Ser. Mat. , vol.53 , Issue.1 , pp. 202-239
    • Nazarov, S.A.1
  • 23
    • 0003099132 scopus 로고
    • The boundary-value problem for a second-order elliptic equation in a domain with a slot. 2
    • A. M. Il'in, "The boundary-value problem for a second-order elliptic equation in a domain with a slot. 2," Mat. Sb., 103, No. 2, 265-284 (1977).
    • (1977) Mat. Sb. , vol.103 , Issue.2 , pp. 265-284
    • Il'in, A.M.1
  • 25
    • 0000369741 scopus 로고
    • Asymptotic expansions of eigenvalues of boundary-value problems for the Laplace operator in domains with small apertures
    • V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, "Asymptotic expansions of eigenvalues of boundary-value problems for the Laplace operator in domains with small apertures," Izv. Akad. Nauk SSSR, Ser. Mat., 48, No. 2, 347-371 (1984).
    • (1984) Izv. Akad. Nauk SSSR, Ser. Mat. , vol.48 , Issue.2 , pp. 347-371
    • Maz'ya, V.G.1    Nazarov, S.A.2    Plamenevskii, B.A.3
  • 26
    • 0040136320 scopus 로고
    • The asymptotics for the eigenvalue of a singularly perturbed self-adjoint problem elliptic problem with a small parameter in the boundary conditions
    • P. P. Gadyl'shin, "The asymptotics for the eigenvalue of a singularly perturbed self-adjoint problem elliptic problem with a small parameter in the boundary conditions," Differents. Uravn., 22, No. 4, 640-652 (1986).
    • (1986) Differents. Uravn. , vol.22 , Issue.4 , pp. 640-652
    • Gadyl'shin, P.P.1
  • 28
    • 0013049648 scopus 로고
    • On singularities of solutions to the Dirichlet problem in the exterior of a thin cone
    • V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, "On singularities of solutions to the Dirichlet problem in the exterior of a thin cone," Mat. Sb., 122, No. 4, 435-456 (1983).
    • (1983) Mat. Sb. , vol.122 , Issue.4 , pp. 435-456
    • Maz'ya, V.G.1    Nazarov, S.A.2    Plamenevskii, B.A.3
  • 29
    • 10344256294 scopus 로고
    • Asymptotic expansion of eigenvalues and eigenfunctions of problems of oscillations of a medium with concentrated perturbations
    • Yu. D. Golovatyi, S. A. Nazarov, and O. A. Oleinik, "Asymptotic expansion of eigenvalues and eigenfunctions of problems of oscillations of a medium with concentrated perturbations," Tr. Mat. Inst. im. V. A. Steklova Akad. Nauk SSSR, 192, 42-60 (1990).
    • (1990) Tr. Mat. Inst. Im. V. A. Steklova Akad. Nauk SSSR , vol.192 , pp. 42-60
    • Golovatyi, Yu.D.1    Nazarov, S.A.2    Oleinik, O.A.3
  • 30
    • 0013094091 scopus 로고
    • Two-term asymptotics for solutions to problems with singular perturbations
    • S. A. Nazarov, "Two-term asymptotics for solutions to problems with singular perturbations," Mat. Sb., 181, No. 3, 291-320 (1990).
    • (1990) Mat. Sb. , vol.181 , Issue.3 , pp. 291-320
    • Nazarov, S.A.1
  • 34
    • 0001449960 scopus 로고
    • The Dirichlet problem for the Laplace operator in the exterior of a thin body of revolution
    • M. V. Fedoryuk, "The Dirichlet problem for the Laplace operator in the exterior of a thin body of revolution," Tr. Sem. Soboleva, No. 1, 113-131 (1980).
    • (1980) Tr. Sem. Soboleva , Issue.1 , pp. 113-131
    • Fedoryuk, M.V.1
  • 35
    • 0003039431 scopus 로고
    • The asymptotics of the solutions to the Dirichlet problem for the Laplace and Helmholtz equations in the exterior of a thin cylinder
    • M. V. Fedoryuk, "The asymptotics of the solutions to the Dirichlet problem for the Laplace and Helmholtz equations in the exterior of a thin cylinder," Izv. Akad. Nauk SSSR, Ser. Mat., 45, No. 1, 167-186 (1981).
    • (1981) Izv. Akad. Nauk SSSR, Ser. Mat. , vol.45 , Issue.1 , pp. 167-186
    • Fedoryuk, M.V.1
  • 36
    • 0002675455 scopus 로고
    • On the asymptotics for solutions to the Dirichlet problem in a three-dimensional domain with a thin cavity
    • V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, "On the asymptotics for solutions to the Dirichlet problem in a three-dimensional domain with a thin cavity," Dokl. Akad. Nauk SSSR, 256, No. 1, 37-39 (1981).
    • (1981) Dokl. Akad. Nauk SSSR , vol.256 , Issue.1 , pp. 37-39
    • Maz'ya, V.G.1    Nazarov, S.A.2    Plamenevskii, B.A.3
  • 37
    • 0000860590 scopus 로고
    • Asymptotics for solutions to the Dirichlet problem in a domain with a thin hollow tube
    • V. G. Maz'ya, S. A. Nazarov, and B. A. Plamenevskii, "Asymptotics for solutions to the Dirichlet problem in a domain with a thin hollow tube," Mat. Sb., 116, No. 2, 187-217 (1981).
    • (1981) Mat. Sb. , vol.116 , Issue.2 , pp. 187-217
    • Maz'ya, V.G.1    Nazarov, S.A.2    Plamenevskii, B.A.3
  • 38
    • 0018983571 scopus 로고
    • Electromagnetic scattering by a slender body of revolution: Axially insider plane wave
    • J. Geer, "Electromagnetic scattering by a slender body of revolution: axially insider plane wave," SIAM J. Appl. Math., 38, No. 1, 93-102 (1980).
    • (1980) SIAM J. Appl. Math. , vol.38 , Issue.1 , pp. 93-102
    • Geer, J.1
  • 39
    • 0010137312 scopus 로고
    • The stress-deformed state of an elastic space with a thin toroidal enclosure
    • I. S. Zorin and S. A. Nazarov, "The stress-deformed state of an elastic space with a thin toroidal enclosure," Mekh. Tverd. Tela, No. 3, 79-86 (1980).
    • (1980) Mekh. Tverd. Tela , Issue.3 , pp. 79-86
    • Zorin, I.S.1    Nazarov, S.A.2
  • 40
    • 53149139538 scopus 로고
    • A thin toroidal cavity in a half-bounded elastic body
    • LGU, Leningrad
    • I. S. Zorin, "A thin toroidal cavity in a half-bounded elastic body," in: Issled. po Uprugosti i Plastichn., No. 15, LGU, Leningrad, 32-39 (1986).
    • (1986) Issled. Po Uprugosti I Plastichn. , Issue.15 , pp. 32-39
    • Zorin, I.S.1
  • 41
    • 53149138780 scopus 로고
    • Scattering of plane length-wise elastic waves by a thin cavity of revolution. Case of the axial fall
    • G. V. Zhdanova, "Scattering of plane length-wise elastic waves by a thin cavity of revolution. Case of the axial fall," Mat. Sb., 121, No. 3, 310-326 (1983).
    • (1983) Mat. Sb. , vol.121 , Issue.3 , pp. 310-326
    • Zhdanova, G.V.1
  • 42
    • 53149142971 scopus 로고
    • The asymptotics for the solution of the Dirichlet problem for the equations elasticity theory in the exterior of a thin body of revolution
    • G. V. Zhdanova, "The asymptotics for the solution of the Dirichlet problem for the equations elasticity theory in the exterior of a thin body of revolution," Mat. Sb., 134, No. 1, 3-27 (1987).
    • (1987) Mat. Sb. , vol.134 , Issue.1 , pp. 3-27
    • Zhdanova, G.V.1
  • 43
    • 53149106111 scopus 로고
    • The asymptotic solution to three-dimensional problems of elasticity theory concerning elongated plane breakaway fissures
    • R. V. Goldshtein, A. V. Kaptsov, and L. B. Korel'shtein, "The asymptotic solution to three-dimensional problems of elasticity theory concerning elongated plane breakaway fissures," Prikl. Mat. Mekh., 48, No. 5, 854-863 (1984).
    • (1984) Prikl. Mat. Mekh. , vol.48 , Issue.5 , pp. 854-863
    • Goldshtein, R.V.1    Kaptsov, A.V.2    Korel'shtein, L.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.