2003 Colloquium on Differential Equations and Applications, Maracaibo, Venezuela.
Electron. J. Diff. Eqns., Conference 13, 2005, pp. 35-47.

A system of semilinear evolution equations with homogeneous boundary conditions for thin plates coupled with membranes

Jairo Hernandez

In this work we consider a semilinear initial boundary-value problem modelling an elastic thin plate (in the context of the so-called Kirchhoff-Love theory) coupled with an elastic membrane, regarding homogeneous boundary conditions. By means of the theory of strongly continuous semigroups of linear operators applied to abstract semilinear initial valued problems [16], we obtain existence and uniqueness of a weak solution which is defined in a suitable way.

Published May 30, 2005.
Math Subject Classifications: 74H20, 74H25, 74K15.
Key Words: Plates, membranes, coupled structures, transmission problems, semilinear evolution equations.

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Jairo Hernandez
Universidad del Norte
Km 5 via a Puerto Colombia
Barranquilla, Colombia
email: jahernan@uninorte.edu.co

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