ncku-talk2024-02-22

Colloquium

DATE 2024-02-22　16:10-17:00

PLACE 數學系館 1F3174教室

SPEAKER Koichi Komada 助理教授（中京大學 (Chukyo University)）

TITLE Existence of Blow-Up Solutions for the Quantum Zakharov System

ABSTRACT We consider the quantum Zakharov system in $d$ dimensions.
The quantum Zakharov system describes the propagation of Langmuir waves in an ionized plasma.
In this talk, we prove that all radially symmetric solutions with negative energy blow up in finite time or in infinite time when $6 \le d \le 9$.

Colloquium

DATE	2024-02-22　16:10-17:00

PLACE	數學系館 1F3174教室

SPEAKER	Koichi Komada 助理教授（中京大學 (Chukyo University)）

TITLE	Existence of Blow-Up Solutions for the Quantum Zakharov System

ABSTRACT	We consider the quantum Zakharov system in $d$ dimensions. The quantum Zakharov system describes the propagation of Langmuir waves in an ionized plasma. In this talk, we prove that all radially symmetric solutions with negative energy blow up in finite time or in infinite time when $6 \le d \le 9$.