Author(s)

Guiyu Yang^1,2

¹College of Mathematical Science, Zhejiang Normal University, Jinhua, China.
²College of Data Science, Jiaxing University, Jiaxing, China.

In this paper, we study the global existence of the smooth solution for a reduced quantum Zakharov system in two spatial dimensions. Using energy estimates and the logarithmic type Sobolev inequality, we show the global existence of the solution to this system without any small condition on the initial data.

Quantum Zakharov System, Global Existence, Logarithmic Sobolev Inequality

Yang, G. (2024) Global Existence of the Solution for a Reduced Model of the Vectorial Quantum Zakharov System. Journal of Applied Mathematics and Physics, 12, 533-542. doi: 10.4236/jamp.2024.122035.