Wave propagation in dilatant granular materials

Article type: Research Article

Authors: Coclite, Giuseppe Maria^{a; *} | di Ruvo, Lorenzo^b

Affiliations: [a] Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy | [b] Dipartimento di Matematica, Università di Bari, via E. Orabona 4, 70125 Bari, Italy

Correspondence: [*] Corresponding author. E-mail: giuseppemaria.coclite@poliba.it.

Abstract: The wave propagation in dilatant granular materials is described by a nonlinear evolution equation of the fifth order deduced by Giovine–Oliveri in (Meccanica 30(4) (1995) 341–357). In this paper, we study the well-posedness of the classical solutions for the Cauchy problem, associated with this equation.

Keywords: Existence, Uniqueness, Stability, Wave propagation, Dilatant granular materials, Cauchy problem

DOI: 10.3233/ASY-241920

Journal: Asymptotic Analysis, vol. Pre-press, no. Pre-press, pp. 1-28, 2024