Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows
Analysis of PDEs
2024-01-25 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2401.09564,
title = {Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows},
author = {Diego Alonso-Orán and Rafael Granero-Belinchón},
journal= {arXiv preprint arXiv:2401.09564},
year = {2024}
}