Geodesic
Regularity result for the problem of vibrations of a nonlinear beam
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A model for the dynamics of the Gao nonlinear beam, which allows for buckling, is studied. Existence and uniqueness of the local weak solution was established in Andrews et al. (2008). In this work the further regularity in time of the weak solution is shown using recent results for evolution problems. Moreover, the weak solution is shown to be global, existing on each finite time interval.
Classification : 74H30, 35L75, 74K10, 74D10, 74H45
Keywords: nonlinear beam, existence and uniqueness, energy balance, pseudomonotone operators, regularity 
@article{EJDE_2008__2008__a30,
     author = {M'Bengue, M'Bagne F. and Shillor, Meir},
     title = {Regularity result for the problem of vibrations of a nonlinear beam},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a30/}
}
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M'Bengue, M'Bagne F.; Shillor, Meir. Regularity result for the problem of vibrations of a nonlinear beam. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a30/