تقرير
Upscaled equations for the Fokker-Planck diffusion through arrays of permeable and of impermeable inclusions
| العنوان: | Upscaled equations for the Fokker-Planck diffusion through arrays of permeable and of impermeable inclusions |
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| المؤلفون: | Amar, M., Andreucci, D., Cirillo, E. N. M. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Condensed Matter - Statistical Mechanics, Mathematical Physics |
| الوصف: | We study the Fokker-Planck diffusion equation with diffusion coefficient depending periodically on the space variable. Inside a periodic array of inclusions the diffusion coefficient is reduced by a factor called the diffusion magnitude. We find the upscaled equations obtained by taking both the degeneration and the homogenization limits in which the diffusion magnitude and the scale of the periodicity tends, respectively, to zero. Different behaviors, classified as pure diffusion, diffusion with mass deposition, and absence of diffusion, are found depending on the order in which the two limits are taken and on the ratio between the size of the inclusions and the scale of the periodicity. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.20741 |
| رقم الأكسشن: | edsarx.2405.20741 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |