# An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities

@article{Adly2018AnIS, title={An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities}, author={Samir Adly and Tahar Haddad}, journal={SIAM J. Math. Anal.}, year={2018}, volume={50}, pages={761-778} }

In this paper, we study a new variant of Moreau's sweeping process with velocity constraint. Based on an adapted version of Moreau's catching-up algorithm, we show the well-posedness (in the sense existence and uniqueness) of this problem in a general framework. We show the equivalence between this implicit sweeping process and a quasistatic evolution variational inequality. It is well known that the variational formulations of many mechanical problems with unilateral contact and friction lead… Expand

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