The beam equation as a limit of a 1-D nonlinear von Kármán model

Applied Mathematics Letters

Volumn 12, Issue 1, 1999, Pages 47-52

  Menzala, G Perla ^b   Zuazua, E ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b NONE

Author keywords

Nonlocal beam of Timoshenko's type; Von K rm n system; Weak convergence

Indexed keywords

EID: 0002132414     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0893-9659(98)00125-6     Document Type: Article

References (7)

1. J. Lagnese and D. Leugering, Uniform stabilization of a nonlinear beam by nonlinear boundary feedback, J. Diff. Equations 91, 355-388 (1991).
2. A. Favini, M.A. Horn, I. Lasiecka and D. Tataru, Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation, Differential and Integral Equations 9 (2), 267-294 (1996).
3. G. Perla Menzala and E. Zuazua, Explicit exponential decay rates for solutions of von Kármán's system of thermoelastic plates, C. R. Acad. Sci. Paris 324 (Série 1), 49-54 (1997).
4. J.M. Ball, Initial-boundary value problems for an extensible beam, J. Math. Anal. Appl. 42, 61-90 (1973).
5. M. Tucsnak, Semi-internal stabilization for a nonlinear Bernoulli-Euler equation, Math. Meth. Appl. Sciences 19, 897-907 (1996).
6. A.H. Nayfeh and D.T. Mook, Nonlinear Oscillations, Wiley-Interscience, New York, (1979).
7. J.-L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Gauthier-Villars, Paris, (1969).