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arXiv · 2401.09564

Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows

Diego Alonso-Orán·Rafael Granero-Belinchón
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Abstract

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.

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Diego Alonso-Orán, Rafael Granero-Belinchón. 2024-01-17. Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows. https://arxiv.org/abs/2401.09564

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