Existence and Regularity of Solution of the Liquid 4He Model Coupling with an Applied Magnetic Field

• 作者: Chen PENG
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2022,（2）
• 页码范围: 497-511
• 页数: 15页
• 语种: 英文

摘要

In this paper,we derive a time-dependent Ginzburg-Landau model for liquid 4 He coupling with an applied magnetic field basing on the Le Chatlier principle.We also obtain the existence and uniqueness of global weak solution for this model.In addition,by utilizing the regularity estimates for linear semigroup,we prove that the model possesses a global classical solution.