Global existence of a heavy ball model with a varying nonnegative friction
In this paper, we study a dissipative dynamical system non linear of second order $ \ddot{x}(t)+λ(t)\, \dot{x}(t)+\nabla Φ(x(t))=0,$ with the non-negative friction coefficient $λ\in \mathcal{C}([0,+\infty[)$ and the internal constraint $Φ\in \mathcal{C}^2$.
math.AP↗