Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory
Analysis of PDEs
2024-07-18 v1
Abstract
In this article, we study the long-time asymptotic properties of a non-linear and non-local equation of diffusive type which describes the rock-paper-scissors game in an interconnected population.We fully characterize the self-similar solution and then prove that the solution of the initial-boundary value problem converges to the self-similar profile with an algebraic rate.
Keywords
Cite
@article{arxiv.2407.12365,
title = {Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory},
author = {Marco Antonio Fontelos and Francesco Salvarani and Nastassia Pouradier Duteil},
journal= {arXiv preprint arXiv:2407.12365},
year = {2024}
}