کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7375008 | 1480068 | 2018 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A stochastic p-adic model of the capillary flow in porous random medium
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A stochastic p-adic model of the capillary flow in porous random medium A stochastic p-adic model of the capillary flow in porous random medium](/preview/png/7375008.png)
چکیده انگلیسی
We develop the p-adic model of propagation of fluids (e.g., oil or water) in capillary networks in a porous random medium. The hierarchic structure of a system of capillaries is mathematically modeled by endowing trees of capillaries with the structure of an ultrametric space. Considerations are restricted to the case of idealized networks represented by homogeneous p-trees with p branches leaving each vertex, where p >1 is a prime number. Such trees are realized as the fields of p-adic numbers. We introduce and study an inhomogeneous Markov process describing the penetration of fluid into a porous random medium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 505, 1 September 2018, Pages 763-777
Journal: Physica A: Statistical Mechanics and its Applications - Volume 505, 1 September 2018, Pages 763-777
نویسندگان
Alexandra V. Antoniouk, Klaudia Oleschko, Anatoly N. Kochubei, Andrei Yu. Khrennikov,