Global existence of a heavy ball model with a varying nonnegative friction

Hassan Mcheik; Zaynab Salloum

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arXiv · 1804.09388

Global existence of a heavy ball model with a varying nonnegative friction

Hassan Mcheik·Zaynab Salloum

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Abstract

In this paper, we study a dissipative dynamical system non linear of second order $ \ddot{x}(t)+\lambda(t)\, \dot{x}(t)+\nabla \Phi (x(t))=0,$ with the non-negative friction coefficient $\lambda \in \mathcal{C}([0,+\infty[)$ and the internal constraint $\Phi \in \mathcal{C}^2$.

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Hassan Mcheik, Zaynab Salloum. 2018-04-25. Global existence of a heavy ball model with a varying nonnegative friction. https://arxiv.org/abs/1804.09388

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