慶應義塾大学 理工学部 矢上キャンパス 14棟 631A/B室
〒223-8522 横浜市港北区日吉3-14-1
Speaker: Tomoyuki Tanaka
Title: Local well-posedness for third order Benjamin-Ono type equations on the torus
Abstract:
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.
If you are interested, please feel free to join.
