@article{a5a40e8b27494244b5979854a78a052a,

title = "Nondispersive solutions to the mass critical half-wave equation in two dimensions",

abstract = "We consider the half-wave equation with mass critical in two dimensions (Formula presented.) First, we prove the existence of a family of traveling solitary waves. We then show the existence of finite-time blowup solutions with ground state mass (Formula presented.) where Q is the ground state solution of equation (Formula presented.).",

keywords = "Finite-time blowup solution, Ground state mass, Half-wave equation, Traveling waves solution",

author = "Vladimir Georgiev and Yuan Li",

note = "Funding Information: V.G. is partially supported by Project 2017 “Problemi stazionari e di evoluzione nelle equazioni di campo nonlineari” of INDAM, GNAMPA—Gruppo Nazionale per l{\textquoteright}Analisi Matematica, la Probabilita e le loro Applicazioni, by Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, by Top Global University Project, Waseda University and the Project PRA 2018 49 of University of Pisa. Y.L. is supported by the National Natural Science Foundation of China (No. 12075102) and the China Scholarship Council (201906180041). Publisher Copyright: {\textcopyright} 2021 Taylor & Francis Group, LLC.",

year = "2022",

doi = "10.1080/03605302.2021.1950763",

language = "English",

volume = "47",

pages = "39--88",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

publisher = "Taylor and Francis Ltd.",

number = "1",

}