Global existence of a classical solution for the isentropic nozzle flow
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911773455548416 |
|---|---|
| author | Chou, Shih-Wei Huang, Bo-Chih Lu, Yun-guang Tsuge, Naoki |
| author_facet | Chou, Shih-Wei Huang, Bo-Chih Lu, Yun-guang Tsuge, Naoki |
| contents | Our goal in this paper is to prove the global existence of a classical solution for the isentropic nozzle flow. Regarding this problem, there exist some global existence theorems of weak solutions. However, that of classical solutions does not have much attention until now. When we consider the present problem, the main difficulty is to obtain the uniform bound of solutions and their derivatives. To solve this, we introduce an invariant region depending on the space variable and a functional satisfying the Riccati equation along the characteristic lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05268 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global existence of a classical solution for the isentropic nozzle flow Chou, Shih-Wei Huang, Bo-Chih Lu, Yun-guang Tsuge, Naoki Analysis of PDEs Our goal in this paper is to prove the global existence of a classical solution for the isentropic nozzle flow. Regarding this problem, there exist some global existence theorems of weak solutions. However, that of classical solutions does not have much attention until now. When we consider the present problem, the main difficulty is to obtain the uniform bound of solutions and their derivatives. To solve this, we introduce an invariant region depending on the space variable and a functional satisfying the Riccati equation along the characteristic lines. |
| title | Global existence of a classical solution for the isentropic nozzle flow |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.05268 |