Convective Viscous Cahn-Hilliard/Allen-Cahn Equation with memory effects
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914185075490816 |
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| author | Mchedlov-Petrosyan, P. O. Davydov, L. N. |
| author_facet | Mchedlov-Petrosyan, P. O. Davydov, L. N. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convective Viscous Cahn-Hilliard/Allen-Cahn Equation with memory effects Mchedlov-Petrosyan, P. O. Davydov, L. N. Statistical Mechanics Fluid Dynamics 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. |
| title | Convective Viscous Cahn-Hilliard/Allen-Cahn Equation with memory effects |
| topic | Statistical Mechanics Fluid Dynamics |
| url | https://arxiv.org/abs/2512.06508 |