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math.AP2017★ 9 cited
An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider an abstract nonlinear second order evolution equation, inspired by some models for damped oscillations of a beam subject to external loads or magnetic fields, and shake…
math.AP2017
Quantization of energy and weakly turbulent profiles of the solutions to some damped second order evolution equations
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider a second order equation with a linear "elastic" part and a nonlinear damping term depending on a power of the norm of the velocity. We investigate the asymptotic behavi…