Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy

Boundary Value Problems

Ying Yang¹  Canze Zhu¹  Yu Zhou¹ 

[1] College of Mathematics and Statistics, Shenzhen University;

关键词: Compressible quantum;    Magnetohydrodynamic model;    Small initial energy;    Global existence;   

DOI  :  10.1186/s13661-022-01600-6

来源: DOAJ

【 摘 要 】

Abstract In this paper, we investigate the three-dimensional Cauchy problem of the compressible quantum magnetohydrodynamic model. It is proved that the system admits a unique global solution, provided that the initial energy is suitably small. Furthermore, the large time behavior of the global solution is obtained.

【 授权许可】

Unknown