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

• Autorzy: Stanisław Migórski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hemivariational inequality; Subdifferential; Quasi-static; Multifunction; Nonconvex; Viscoelasticity

Kategorie tematyczne

• 35A15: Variational methods
• 74Axx: Generalities, axiomatics, foundations of continuum mechanics of solids
• 35L85: Linear hyperbolic unilateral problems and linear hyperbolic variational inequalities
• 49K40: Sensitivity, stability, well-posedness
• 35K90: Abstract parabolic equations
• 35K85: Linear parabolic unilateral problems and linear parabolic variational inequalities
• 34G20: Nonlinear equations
• 35K55: Nonlinear parabolic equations
• 49J40: Variational methods including variational inequalities

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 1953-1968

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Stanisław Migórski

• Institute of Computer Science, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348, Kraków, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0123-6