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 i...

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Detalles Bibliográficos
Autores: Alonso Orán, Diego, Granero Belinchón, Rafael|||0000-0003-2752-8086
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/34296
Acceso en línea:https://hdl.handle.net/10902/34296
Access Level:acceso abierto
Palabra clave:Well-posedness
Decay
Pointwise estimate
Atmospheric flows
Descripción
Sumario: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.