Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911763734200320 |
|---|---|
| author | Alonso-Orán, Diego Granero-Belinchón, Rafael |
| author_facet | Alonso-Orán, Diego Granero-Belinchón, Rafael |
| contents | In this note, we provide two results concerning the global well-posedness and decay of solutions to an asymptotic model describing the nonlinear wave propagation in the troposphere, namely, the morning glory phenomenon. The proof of the first result combines a pointwise estimate together with some interpolation inequalities to close the energy estimates in Sobolev spaces. The second proof relies on suitable Wiener-like functional spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09564 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows Alonso-Orán, Diego Granero-Belinchón, Rafael Analysis of PDEs Mathematical Physics 35D35 In this note, we provide two results concerning the global well-posedness and decay of solutions to an asymptotic model describing the nonlinear wave propagation in the troposphere, namely, the morning glory phenomenon. The proof of the first result combines a pointwise estimate together with some interpolation inequalities to close the energy estimates in Sobolev spaces. The second proof relies on suitable Wiener-like functional spaces. |
| title | Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows |
| topic | Analysis of PDEs Mathematical Physics 35D35 |
| url | https://arxiv.org/abs/2401.09564 |