The third order Benjamin-Ono equation on the torus: Well-posedness, traveling waves and stability
نویسندگان
چکیده
Abstract We consider the third order Benjamin-Ono equation on torus ? t u = x ( ? 3 2 H ) + . prove that for any ? R , flow map continuously extends to r 0 s T if ? but does not admit a continuous extension 1 Moreover, we show is weakly sequentially in > L then classify traveling wave solutions and study their orbital stability.
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2021
ISSN: ['0294-1449', '1873-1430']
DOI: https://doi.org/10.1016/j.anihpc.2020.09.004