English

Weak solutions for nonlinear waves in adhesive phenomena

Analysis of PDEs 2022-03-23 v3

Abstract

We discuss a notion of weak solution for a semilinear wave equation that models the interaction of an elastic body with a rigid substrate through an adhesive layer, relying on results in [2]. Our analysis embraces the vector-valued case in arbitrary dimension as well as the case of non-local operators (e.g. fractional Laplacian).

Keywords

Cite

@article{arxiv.2104.10437,
  title  = {Weak solutions for nonlinear waves in adhesive phenomena},
  author = {Mauro Bonafini and Van Phu Cuong Le},
  journal= {arXiv preprint arXiv:2104.10437},
  year   = {2022}
}

Comments

10 pages

R2 v1 2026-06-24T01:23:41.969Z