English

Convective Viscous Cahn-Hilliard/Allen-Cahn Equation with memory effects

Statistical Mechanics 2025-12-09 v1 Fluid Dynamics

Abstract

The combination of the well-known Cahn-Hilliard and Allen-Cahn equations is used to describe surface processes, such as simultaneous adsorption/desorption and surface diffusion. In the present paper we have considered the convective-viscous Cahn-Hilliard/Allen-Cahn equation complemented by memory effects. Exact solutions are obtained and the combined action of the applied field, dissipation and memory are discussed.

Cite

@article{arxiv.2512.06508,
  title  = {Convective Viscous Cahn-Hilliard/Allen-Cahn Equation with memory effects},
  author = {P. O. Mchedlov-Petrosyan and L. N. Davydov},
  journal= {arXiv preprint arXiv:2512.06508},
  year   = {2025}
}

Comments

7 pages, without figures

R2 v1 2026-07-01T08:13:07.702Z