ncku-talk2020-04-23

Colloquium

DATE 2020-04-23　15:10-16:00

PLACE 數學館3174教室

SPEAKER 方永富副教授（成功大學數學系）

TITLE On 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.

Colloquium

DATE	2020-04-23　15:10-16:00

PLACE	數學館3174教室

SPEAKER	方永富副教授（成功大學數學系）

TITLE	On 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.