Random Homogenization in a Domain with Light Concentrated Masses
In the paper, we consider an elliptic problem in a domain with singular stochastic perturbation of the density located near the boundary, depending on a small parameter. Using the boundary homogenization methods, we prove the compactness theorem and study the behavior of eigenelements to the initial...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-05-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/5/788 |
| id |
doaj-2e93ed6095904cf09127f38c89ca86a6 |
|---|---|
| record_format |
Article |
| spelling |
doaj-2e93ed6095904cf09127f38c89ca86a62020-11-25T02:08:27ZengMDPI AGMathematics2227-73902020-05-01878878810.3390/math8050788Random Homogenization in a Domain with Light Concentrated MassesGregory A. Chechkin0Tatiana P. Chechkina1Department of Differential Equations, Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Leninskie Gory, 1, 119991 Moscow, RussiaDepartment of Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, RussiaIn the paper, we consider an elliptic problem in a domain with singular stochastic perturbation of the density located near the boundary, depending on a small parameter. Using the boundary homogenization methods, we prove the compactness theorem and study the behavior of eigenelements to the initial problem as the small parameter tends to zero.https://www.mdpi.com/2227-7390/8/5/788boundary homogenizationrandom mediumelliptic equationsmall parameter |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gregory A. Chechkin Tatiana P. Chechkina |
| spellingShingle |
Gregory A. Chechkin Tatiana P. Chechkina Random Homogenization in a Domain with Light Concentrated Masses Mathematics boundary homogenization random medium elliptic equation small parameter |
| author_facet |
Gregory A. Chechkin Tatiana P. Chechkina |
| author_sort |
Gregory A. Chechkin |
| title |
Random Homogenization in a Domain with Light Concentrated Masses |
| title_short |
Random Homogenization in a Domain with Light Concentrated Masses |
| title_full |
Random Homogenization in a Domain with Light Concentrated Masses |
| title_fullStr |
Random Homogenization in a Domain with Light Concentrated Masses |
| title_full_unstemmed |
Random Homogenization in a Domain with Light Concentrated Masses |
| title_sort |
random homogenization in a domain with light concentrated masses |
| publisher |
MDPI AG |
| series |
Mathematics |
| issn |
2227-7390 |
| publishDate |
2020-05-01 |
| description |
In the paper, we consider an elliptic problem in a domain with singular stochastic perturbation of the density located near the boundary, depending on a small parameter. Using the boundary homogenization methods, we prove the compactness theorem and study the behavior of eigenelements to the initial problem as the small parameter tends to zero. |
| topic |
boundary homogenization random medium elliptic equation small parameter |
| url |
https://www.mdpi.com/2227-7390/8/5/788 |
| work_keys_str_mv |
AT gregoryachechkin randomhomogenizationinadomainwithlightconcentratedmasses AT tatianapchechkina randomhomogenizationinadomainwithlightconcentratedmasses |
| _version_ |
1724927282323128320 |