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Subdifferential inclusions and quasi-static hemivariational inequalities for frictional viscoelastic contact problems

100%

Migórski S.

Open Mathematics

2012

tom 10

nr 6

1953-1968

We survey recent results on the mathematical modeling of nonconvex and nonsmooth contact problems arising in mechanics and engineering. The approach to such problems is based on the notions of an operator subdifferential inclusion and a hemivariational inequality, and focuses on three aspects. First we report on results on the existence and uniqueness of solutions to subdifferential inclusions. Then we discuss two classes of quasi-static hemivariational ineqaulities, and finally, we present ideas leading to inequality problems with multivalued and nonmonotone boundary conditions encountered in mechanics.

On the use of semi-closed sets and functions in convex analysis

100%

Zălinescu C.

Open Mathematics

2015

tom 13

nr 1

The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding known results using Moreau-Rockafellar type conditions.

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2 Open Mathematics

1 Migórski S.

1 Zălinescu C.

1 2015

1 2012

Wyniki wyszukiwania

Subdifferential inclusions and quasi-static hemivariational inequalities for frictional viscoelastic contact problems

On the use of semi-closed sets and functions in convex analysis