@article{5432b5ff51c943eda73ef90a9b7497cf,

title = "Well-posedness of the two-dimensional generalized Benjamin-bona-mahony equation on the upper half plane",

abstract = "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.",

keywords = "Benjamin-BonaMahony-Burgers equation, Buckley-Leverett equation, Generalized Benjamin-Bona-Mahony equation, Global wellposedness, Initial-boundary value problem",

author = "{Arthur Cheng}, {C. H.} and Hong, {John M.} and Lin, {Ying Chieh} and Jiahong Wu and Yuan, {Juan Ming}",

note = "Funding Information: AC was supported by the Ministry of Science and Technology (MOST) of Taiwan under grant 100-2115-M-008-009-MY3, MH was supported by MOST under grant 101-2115-M-008-005, YL was supported by MOST under grant 103-2115-M-390-005, JW was supported by NSF under grant DMS 1209153, and JY was supported by MOST under grant 101-2115-M-126-002.",

year = "2016",

month = may,

doi = "10.3934/dcdsb.2016.21.763",

language = "???core.languages.en_GB???",

volume = "21",

pages = "763--779",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

number = "3",

}