Work

Non-local hyperbolic dynamics of clusters

Year: 2025

Type: article

Abstract: The formation, movement and gluing of clusters can be described through a system of nonlocal conservation laws. Here, the well-posedness of this system is obtained, as well as various stability estimates. Remarkably, qualitative properties of the solutions are proved, providing information on stationary solutions and on the propagation speed. In some cases, fragmentation leads to clusters developing independently. Moreover, these equations may serve as an encryption/decryption tool. This poses new analytical problems and asks for improved numerical methods.

Source: Springer Link (Chiba Institute of Technology)

DOI: 10.1051/mmnp/2025011/pdf

Authors: R. M. Colombo, M. Garavello

Institutions: Istituto Nazionale di Alta Matematica Francesco Severi, University of Brescia, University of Milano-Bicocca

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

Award: G972786147