Nonlinear von Kármán Beams

”Nonlinear von Kármán Beams” is a rigorous mathematical monograph dedicated to coupling by some von Kármán beam models with some different damping terms, which accounts for large deflections and geometric nonlinearities caused by this coupling. The book systematically presents the existence, uniqueness, and regularity of solutions for some boundary value problems. It extensively employs functional analysis and semigroup theory to prove well-posedness. The text also explores the asymptotic behavior of the models. Additionally, it covers controllability and stabilization problems, examining how these nonlinear systems can be controlled through various feedback mechanisms. The work is targeted at researchers and graduate students in applied mathematics and engineering.