Large Time Existence for Thin Vibrating Plates

Details Large Time Existence for Thin Vibrating Plates Large Time Existence for Thin Vibrating Plates

2009-09-15

arxiv.org/abs/0909.2796v2

Mathematics

Analysis of PDEs

Scientific paper

We construct strong solutions for a nonlinear wave equation for a thin vibrating plate described by nonlinear elastodynamics. For sufficiently small thickness we obtain existence of strong solutions for large times under appropriate scaling of the initial values such that the limit system as $h\to 0$ is either the nonlinear von K\'arm\'an plate equation or the linear fourth order Germain-Lagrange equation. In the case of the linear Germain-Lagrange equation we even obtain a convergence rate of the three-dimensional solution to the solution of the two-dimensional linear plate equation.

Affiliated with

Also associated with

No associations

Rating

Large Time Existence for Thin Vibrating Plates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Large Time Existence for Thin Vibrating Plates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large Time Existence for Thin Vibrating Plates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-555915