quantum zakharov system
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Local well-posedness for the quantum Zakharov system in three and higher dimensions

2021 ◽  
Vol 18 (02) ◽  
pp. 257-270
Author(s):  
Isao Kato
Keyword(s):  
Cauchy Problem ◽  
Type System ◽  
Higher Dimensions ◽  
Well Posedness ◽  
Zakharov System ◽  
Quantum Parameter ◽  
Fourier Restriction ◽  
The Cauchy Problem ◽  
The One ◽  
Quantum Zakharov System

We study the Cauchy problem associated with a quantum Zakharov-type system in three and higher spatial dimensions.Taking the quantum parameter to unit and developing Fourier restriction norm arguments, we establish local well-posedness property for wider range than the one known for the Zakharov system.

Scattering for 3D quantum Zakharov system in $L^2$

2021 ◽  
Vol 19 (2) ◽  
pp. 383-404
Author(s):  
Chunyan Huang ◽  
Boling Guo ◽  
Yi Heng
Keyword(s):  
Zakharov System ◽  
Quantum Zakharov System

Local well-posedness for the quantum Zakharov system

2020 ◽  
Vol 18 (5) ◽  
pp. 1383-1411
Author(s):  
Yung-Fu Fang ◽  
Kuan-Hsiang Wang
Keyword(s):  
Well Posedness ◽  
Zakharov System ◽  
Quantum Zakharov System

scholarly journals Semi-classical Limit for the Quantum Zakharov System

2019 ◽  
Vol 23 (4) ◽  
pp. 925-949
Author(s):  
Yung-Fu Fang ◽  
Hung-Wen Kuo ◽  
Hsi-Wei Shih ◽  
Kuan-Hsiang Wang
Keyword(s):  
Classical Limit ◽  
Zakharov System ◽  
Quantum Zakharov System
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