Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equation on the upper half plane
Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equation on the upper half plane
This paper focuses on the two-dimensional Benjamin-Bona-Mahony andBenjamin-Bona-Mahony-Burgers equations with a general flux function.The aim is at the global (in time)well-posedness of the initial-and boundary-value problem for these equationsdefined in the upper half-plane. Under suitable growth conditions on theflux function, we are able to establish the global well-posedness in a …