A MIXED PROBLEM FOR A ONE-DIMENSIONAL VISCOELASTICITY EQUATION WITH NON-STATIONARY CONJUGATION CONDITIONS

Authors:  A. B. ALIEV, G. A. ALIYEV, A. N. HUSEYNOVA

Abstract. The problem of a longitudinal impact on a piecewise homogeneous semi-infinite rod consisting of viscoelastic parts is studied. Introducing non-stationary dynamic regularization under conjugation conditions, we prove the well-posedness of the problem under consideration

Keywords: nonstationary regularization, composite linear visco-elastic bar, mixed problem,weak solution, strong solution

DOI:  https://doi.org/10.32010/j.bmj.2022.07