This paper focuses on the two-dimensional Benjamin-Bona-Mahony and Benjamin-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 equations defined in the upper half-plane. Under suitable growth conditions on the flux function, we are able to establish the global well-posedness in a Sobolev class. When the initial-and boundarydata become more regular, the corresponding solutions are shown to be classical. In addition, the continuous dependence on the data is also obtained.
|頁（從 - 到）||763-779|
|期刊||Discrete and Continuous Dynamical Systems - Series B|
|出版狀態||已出版 - 5月 2016|