NCKU Math Colloquium / RCTS Seminar



SPEAKERProf. Jun-ichi Segata°]Tohoku University°^

TITLEWell-Posedness for the Fourth Order Nonlinear Schrodinger Type Equation and Orbital Stability of Standing Waves

ABSTRACT Abstract: We consider the fourth order nonlinear Schr ̈odinger type equation (4NLS) which arises in context of the motion of vortex filament. The purposes of this talk are twofolds. We first consider the initial value problem for (4NLS) on the line and on the torus. Next, we study the stability property of periodic/non-periodic standing waves for (4NLS) by using the variational argument.