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Volumn 79, Issue 1, 2000, Pages 73-94

Timoshenko's plate equation as a singular limit of the dynamical von Kármán system

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EID: 0033636238     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0021-7824(00)00149-5     Document Type: Article
Times cited : (35)

References (20)
  • 1
    • 49549163375 scopus 로고
    • Initial-boundary value problems for an extensible beam
    • J.M. Ball, Initial-boundary value problems for an extensible beam, J. Math. Anal. Appl. 41 (1973) 69-90.
    • (1973) J. Math. Anal. Appl. , vol.41 , pp. 69-90
    • Ball, J.M.1
  • 2
    • 84930776505 scopus 로고
    • A new approach to the analysis of large deflections of plates
    • H.M. Berger, A new approach to the analysis of large deflections of plates, J. Appl. Mech. 22 (1955) 465-472.
    • (1955) J. Appl. Mech. , vol.22 , pp. 465-472
    • Berger, H.M.1
  • 3
    • 0001709423 scopus 로고
    • The damped elastic stretched string equation generalized: Existence, uniqueness, regularity and stability
    • E.H. Brito, The damped elastic stretched string equation generalized: Existence, uniqueness, regularity and stability, Appl. Anal. 13 (1982) 219-233.
    • (1982) Appl. Anal. , vol.13 , pp. 219-233
    • Brito, E.H.1
  • 5
  • 6
    • 0014741183 scopus 로고
    • Free vibrations and dynamic buckling of the extensible beam
    • R.W. Dickey, Free vibrations and dynamic buckling of the extensible beam, J. Math. Anal. Appl. 29 (1970) 443-454.
    • (1970) J. Math. Anal. Appl. , vol.29 , pp. 443-454
    • Dickey, R.W.1
  • 7
    • 0001652946 scopus 로고    scopus 로고
    • Global existence, uniqueness and regularity of solutions to a von Kármán equation
    • A. Favini, M.A. Horn, I. Lasiecka and D. Tataru, Global existence, uniqueness and regularity of solutions to a von Kármán equation, Differential Integral Equations 9 (2) (1996) 267-294.
    • (1996) Differential Integral Equations , vol.9 , Issue.2 , pp. 267-294
    • Favini, A.1    Horn, M.A.2    Lasiecka, I.3    Tataru, D.4
  • 8
    • 0003280914 scopus 로고
    • Boundary stabilization of thin plates
    • Philadelphia
    • J. Lagnese, Boundary stabilization of thin plates, SIAM Studies in Appl. Math., Philadelphia, 1989.
    • (1989) SIAM Studies in Appl. Math.
    • Lagnese, J.1
  • 9
    • 0001040417 scopus 로고
    • Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
    • J. Lagnese and G. Leugering, Uniform stabilization of a nonlinear beam by nonlinear boundary feedback, J. Differential Equations 91 (1991) 355-388.
    • (1991) J. Differential Equations , vol.91 , pp. 355-388
    • Lagnese, J.1    Leugering, G.2
  • 10
    • 85065350024 scopus 로고    scopus 로고
    • Weak, classical and intermediate solutions to full von Kármán system of dynamic nonlinear elasticity
    • I. Lasiecka, Weak, classical and intermediate solutions to full von Kármán system of dynamic nonlinear elasticity, Appl. Anal. 68 (1998) 121-145.
    • (1998) Appl. Anal. , vol.68 , pp. 121-145
    • Lasiecka, I.1
  • 12
    • 0002610105 scopus 로고
    • Sur une équation nonlinéaire de la physique mathématique
    • L.A. Medeiros, Sur une équation nonlinéaire de la physique mathématique, C. R. Acad. Sci. Paris 286 (1978) 277-278.
    • (1978) C. R. Acad. Sci. Paris , vol.286 , pp. 277-278
    • Medeiros, L.A.1
  • 14
    • 0030639992 scopus 로고    scopus 로고
    • Explicit exponential decay rates for solutions of von Kármán system of thermoelastic plates
    • G. Perla Menzala and E. Zuazua, Explicit exponential decay rates for solutions of von Kármán system of thermoelastic plates, C. R. Acad. Sci. Paris Série I 324 (1997) 49-54.
    • (1997) C. R. Acad. Sci. Paris Série I , vol.324 , pp. 49-54
    • Menzala, G.P.1    Zuazua, E.2
  • 15
    • 0002132414 scopus 로고    scopus 로고
    • The beam equation as a limit of a 1-D nonlinear von Kármán model
    • G. Perla Menzala and E. Zuazua, The beam equation as a limit of a 1-D nonlinear von Kármán model, Appl. Math. Letters 12 (1999) 47-52.
    • (1999) Appl. Math. Letters , vol.12 , pp. 47-52
    • Menzala, G.P.1    Zuazua, E.2
  • 17
    • 0030243564 scopus 로고    scopus 로고
    • Global existence for the full von Kármán system
    • J. Puel and M. Tuscnak, Global existence for the full von Kármán system, Appl. Math. Optim. 34 (1996) 139-160.
    • (1996) Appl. Math. Optim. , vol.34 , pp. 139-160
    • Puel, J.1    Tuscnak, M.2
  • 18
    • 4243692995 scopus 로고
    • The uniqueness of generalized solutions of initial boundary value problem for Marguerre-Vlasov equation in the nonlinear oscillation theory of shallow shells
    • V.I. Sedenko, The uniqueness of generalized solutions of initial boundary value problem for Marguerre-Vlasov equation in the nonlinear oscillation theory of shallow shells, Izv. Severo-kavkaz. Nauchn. Tsentra Vyssh. Shkoly Estestv. Nauk 1-2 (1994).
    • (1994) Izv. Severo-Kavkaz. Nauchn. Tsentra Vyssh. Shkoly Estestv. Nauk , vol.1-2
    • Sedenko, V.I.1
  • 19


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.