| Abstract: |
| We deal with a new class of variational-hemivariational inequalities with history-dependent operators. An existence and uniqueness result is delivered, and its proof is based on a surjectivity theorem for abstract first order evolution inclusions with the Clarke generalized gradient. Two applications to inequality problems in Contact and Fluid Mechanics are discussed. First, a dynamic frictional viscoelastic contact problem with the friction described by a version of the Coulomb law of dry friction and the friction bound depending on the total slip is investigated. Second, an application to a nonstationary Oseen model for the incompressible fluid flow with a multivalued and nonmonotone slip boundary condition is provided. |
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