Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary
The combined quasineutral and zero-viscosity limits of the bipolar Navier-Stokes-Poisson system with boundary are rigorously proved by establishing the nonlinear stability of the approximate solutions. Based on the conormal energy estimates, we showed that the solutions for the original system conve...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2023/2461834 |
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| author | Tiantian Yu Yong Li |
| author_facet | Tiantian Yu Yong Li |
| author_sort | Tiantian Yu |
| collection | DOAJ |
| description | The combined quasineutral and zero-viscosity limits of the bipolar Navier-Stokes-Poisson system with boundary are rigorously proved by establishing the nonlinear stability of the approximate solutions. Based on the conormal energy estimates, we showed that the solutions for the original system converge strongly in H3 space towards the solutions of the one-fluid compressible Euler system as long as the amplitude of the boundary layers is small enough. |
| format | Article |
| id | doaj-art-9549508eb78f42b58073ae1140cf917a |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9549508eb78f42b58073ae1140cf917a2025-02-03T06:04:51ZengWileyAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/2461834Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with BoundaryTiantian Yu0Yong Li1Faculty of SciencesFaculty of SciencesThe combined quasineutral and zero-viscosity limits of the bipolar Navier-Stokes-Poisson system with boundary are rigorously proved by establishing the nonlinear stability of the approximate solutions. Based on the conormal energy estimates, we showed that the solutions for the original system converge strongly in H3 space towards the solutions of the one-fluid compressible Euler system as long as the amplitude of the boundary layers is small enough.http://dx.doi.org/10.1155/2023/2461834 |
| spellingShingle | Tiantian Yu Yong Li Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary Advances in Mathematical Physics |
| title | Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary |
| title_full | Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary |
| title_fullStr | Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary |
| title_full_unstemmed | Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary |
| title_short | Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary |
| title_sort | nonlinear stability of the bipolar navier stokes poisson system with boundary |
| url | http://dx.doi.org/10.1155/2023/2461834 |
| work_keys_str_mv | AT tiantianyu nonlinearstabilityofthebipolarnavierstokespoissonsystemwithboundary AT yongli nonlinearstabilityofthebipolarnavierstokespoissonsystemwithboundary |