DATE2020-04-23 15:10-16:00


SPEAKER方永富 副教授(成功大學數學系

TITLEOn the Quantum Zakharov System

ABSTRACT First we discuss some of our recent works for Quantum Zakharov system (QZ) and Zakharov system(Z): We discuss Local Well-Posedness, Global Well-Posedness, blowup, and Scattering for (QZ). Next, we discuss semi-classical limit of (QZ) to (Z) as quantum parameter goes to zero in 1D, 2D, 3D. We also discuss the Existence and Stability of ground States of (QZ) and Schro\"odinger limit of (QZ). Also we discuss the Ill-posedness problem for (QZ) in 1D, including norm inflation of wave and data-to-solution map is not C2. Finally, we discuss Global Dynamics of (QZ) in 6D.