Work

An equation related to the derivative Cahn–Hilliard equation with convection

Year: 2025

Type: article

Abstract: We consider a nonlinear fourth order evolution equation related to the Convective Cahn–Hilliard equation. We study the asymptotic behaviour of the solutions and find the values of the parameters for which solutions converges to the zero steady state and no patterns are observed in the asymptotic behaviour. In other parameter’s regime we obtain the existence of a global attractor. Moreover we prove the existence of periodic travelling waves. • Convergence to the equilibria. • Existence of a Global Attractor. • Existence of periodic travelling waves.

Source: Physica D Nonlinear Phenomena

DOI: 10.1016/j.physd.2025.134636

Author: Renato Colucci

Institution: Marche Polytechnic University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,640

Funder: Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni