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

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-03-23 DOI:10.1016/j.physd.2025.134636

Renato Colucci

引用次数: 0

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.

查看原文本刊更多论文

求助全文

约1分钟内获得全文求助全文

来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.