Dominique Blanchard, Georges Griso
Published 2011-07-26Version 1
This paper is devoted to describe the asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a way that the level of the total elastic energy leads to the Von-K\'arm\'an's equations (or the linear model for smaller forces) in the plate and to a one dimensional rod-model at the limit. The junction conditions include in particular the continuity of the bending in the plate and the stretching in the rod at the junction.
Asymptotic behavior of global solutions of the $u_t=Δu + u^{p}$
Determining nodes for semilinear parabolic equations
Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$
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