セミナー

理研AIPセミナー

タイトル	Local well-posedness for third order Benjamin-Ono type equations on the torus
開催日時	2019年4月11日 13:00 - 14:00 + 30min.
主催者
講演者	Tomoyuki Tanaka氏
場所	Yagami campus, Keio Univ. Building 14, Room 631A/B
内容	In this talk, we consider the Cauchy problem of third order Benjamin-Ono type equations on the torus. The well-known (second order) Benjamin-Ono equation describes the behavior of long internal waves in deep stratified fluids. This equation also has infinitely many conservation laws, which generates a hierarchy of Hamiltonian equations of order j. Our equation with specific coefficients is known as the second equation in the Benjamin-Ono hierarchy. Nonlinear terms may yield derivative losses, which prevents us from using the classical energy method. In order to overcome that difficulty, we add a correction term into the energy. This talk is based on the preprint titled the same as above (arXiv:1812.03477) by the speaker.
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