We discuss the zero-dispersion limit for the Benjamin-Onoequation on the torus given a bell-shaped initial data. We provethat the solutions admit a weak limit as the dispersion parametertends to zero which is explicit and constructed from the Burgersequation. The approach relies on the complete integrability forthe Benjamin-Ono equation from Gerard, Kappeler and Topalovand also on the spectral study of the Lax operator associated tothe initial data in the zero-dispersion limit.
© 2015 All Rights Reserved. 粤ICP备14051456号
地址：广东省深圳市南山区学苑大道1088号 电话：+86-755-8801 0000 邮编：518055