GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR GENERALIZED QUANTUM MHD EQUATION

• 作者: Binqiang Xie Boling Guo
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 年，卷（期）: 2017,（2）
• 页码范围: 111-129
• 页数: 19页
• 分类号: O1

摘要

We prove the existence of a weak solution for a generalized quantum MHD equation in a 2-dimensional periodic box for large initial data. The existence of a global weak solution is established through a three-level approximation,energy estimates, and weak convergence for the adiabatic exponent γ > 1.