Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows
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.
Authors
- Diego Alonso-Orán (ORCID: https://orcid.org/0000-0003-0809-856X)
- Rafael Granero-Belinchón (ORCID: https://orcid.org/0000-0003-2752-8086)
Institutions
- Universidad de Cantabria (ES)
- Universidad de La Laguna (ES)
Publication Details
- Journal
- Physica D Nonlinear Phenomena
- Published
- 2024-08-16
- DOI
- https://doi.org/10.1016/j.physd.2024.134323
- Citations
- 4
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.56
Funders
- Fundación Banco Santander
- Ministerio de Ciencia, Innovación y Universidades
- Ministerio de Economía y Competitividad
- Agencia Estatal de Investigación