English

Convective Viscous Cahn-Hilliard/Allen-Cahn Equation: Exact Solutions

Computational Physics 2020-02-21 v1 Materials Science Statistical Mechanics

Abstract

Recently the combination of the well-known Cahn-Hilliard and Allen-Cahn equations was used to describe surface processes, such as simultaneous adsorption/desorption and surface diffusion. In the present paper we have considered the one-dimensional version of the Cahn-Hilliard/Allen-Cahn equation complemented with convective and viscous terms. Exact solutions are obtained and the conditions of their existence as well as the influence of applied field and additional dissipation are discussed.

Keywords

Cite

@article{arxiv.2002.08747,
  title  = {Convective Viscous Cahn-Hilliard/Allen-Cahn Equation: Exact Solutions},
  author = {P. O. Mchedlov-Petrosyan and L. N. Davydov},
  journal= {arXiv preprint arXiv:2002.08747},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2002.07597

R2 v1 2026-06-23T13:48:06.744Z