Convective Viscous Cahn-Hilliard/Allen-Cahn Equation with memory effects
P.O.Mchedlov-Petrosyan, L.N.Davydov
TL;DR
This paper introduces a convective-viscous Cahn-Hilliard/Allen-Cahn equation with memory effects, providing exact solutions and analyzing the influence of applied fields, dissipation, and memory on surface processes.
Contribution
It presents a novel formulation of the combined convective-viscous Cahn-Hilliard/Allen-Cahn equation incorporating memory effects and derives exact solutions.
Findings
Exact solutions obtained for the equation.
Memory effects influence surface process dynamics.
Applied fields and dissipation impact the solutions.
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.
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Taxonomy
TopicsSolidification and crystal growth phenomena · Nonlinear Dynamics and Pattern Formation · Fluid Dynamics and Thin Films