Dynamics of extensible beams with nonlinear non-compact energy-level damping

Long-time behavior of second order evolution equations with nonlinear damping

Igor Čhuešhov, Irena Lasiecka · Memoirs of the American Mathematical Society · 2008 · 471 citations

Natural Sciences, Mathematics, Physics +16

Attractors and their properties for a class of nonlocal extensible beams

Marcio A. Jorge Silva, Vando Narciso · Discrete and Continuous Dynamical Systems · 2014 · 80 citations

Engineering, Mathematics, Mechanical Engineering +16

Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping<sup>*</sup>

Marcio A. Jorge Silva, Vando Narciso · Evolution equations and control theory · 2017 · 61 citations · Full text

Engineering, Mathematics, Mechanical Engineering +17

Global attractors for nonlinear wave equations with nonlinear dissipative terms

Mitsuhiro Nakao · Journal of Differential Equations · 2005 · 44 citations

Natural Sciences, Mathematics, Physics +16

Exponential stability for the wave equation with degenerate nonlocal weak damping

Marcelo M. Cavalcanti, V. N. Domingos Cavalcanti, Marcio A. Jorge Silva et al. · Israel Journal of Mathematics · 2017 · 38 citations

Natural Sciences, Mathematics, Differential Equations +11