Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Applied Mathematics
On The Well-Posedness And Global Boundary Controllability Of A Nonlinear Beam Model, Jessie Jamieson
On The Well-Posedness And Global Boundary Controllability Of A Nonlinear Beam Model, Jessie Jamieson
Department of Mathematics: Dissertations, Theses, and Student Research
The theory of beams and plates has been long established due to works spanning many fields, and has been explored through many investigations of beam and plate mechanics, controls, stability, and the well-posedness of systems of equations governing the motions of plates and beams. Additionally, recent investigations of flutter phenomena by Dowell, Webster et al. have reignited interest into the mechanics and stability of nonlinear beams. In this thesis, we wish to revisit the seminal well-posedness results of Lagnese and Leugering for the one dimensional, nonlinear beam from their 1991 paper, "Uniform stabilization of a nonlinear beam by nonlinear boundary …