Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit
We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit α→0+, especially for the mixed boundary conditions; we prove that the thickness of layer is of the...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/2581953 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552886904553472 |
|---|---|
| author | Linrui Li Shu Wang |
| author_facet | Linrui Li Shu Wang |
| author_sort | Linrui Li |
| collection | DOAJ |
| description | We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit α→0+, especially for the mixed boundary conditions; we prove that the thickness of layer is of the order O(α). Furthermore, the corresponding convergence rates are also obtained. |
| format | Article |
| id | doaj-art-ec1dc7824d874e65839aec9f7a5f1d85 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ec1dc7824d874e65839aec9f7a5f1d852025-02-03T05:57:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/25819532581953Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion LimitLinrui Li0Shu Wang1Basic Courses Department, Institute of Disaster Prevention, 465 Xueyuan Street, Sanhe, Hebei 065201, ChinaCollege of Applied Sciences, Beijing University of Technology, Pingleyuan 100, Chaoyang District, Beijing 100124, ChinaWe study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit α→0+, especially for the mixed boundary conditions; we prove that the thickness of layer is of the order O(α). Furthermore, the corresponding convergence rates are also obtained.http://dx.doi.org/10.1155/2018/2581953 |
| spellingShingle | Linrui Li Shu Wang Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit Discrete Dynamics in Nature and Society |
| title | Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit |
| title_full | Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit |
| title_fullStr | Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit |
| title_full_unstemmed | Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit |
| title_short | Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit |
| title_sort | boundary layer effects for the nonlinear evolution equations with the vanishing diffusion limit |
| url | http://dx.doi.org/10.1155/2018/2581953 |
| work_keys_str_mv | AT linruili boundarylayereffectsforthenonlinearevolutionequationswiththevanishingdiffusionlimit AT shuwang boundarylayereffectsforthenonlinearevolutionequationswiththevanishingdiffusionlimit |