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math.AP2022
The Majda-Biello system on the half-line
A. Alexandrou Himonas, Fangchi Yan
The Majda-Biello system models the interaction of Rossby waves. It consists of two coupled KdV equations one of which has a parameter as coefficient of its dispersion. This wor…
math.AP2022★ 26 cited
A higher dispersion KdV equation on the half-line
A. Alexanddrou Himonas, Fangchi Yan
The initial-boundary value problem (ibvp) for the -th order dispersion Korteweg-de Vries (KdV) equation on the half-line with rough data and solution in restricted Bourgain spac…
math.AP2022
Global solutions of quasi-geostrophic shallow-water fronts
Fangchi Yan, Qingtian Zhang
In this paper, we consider a family of piecewise constant solutions of the quasi-geostrophic shallow-water (QGSW) equation. We derive the contour dynamics equation of the QGSW fron…