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

作     者：Chen PENG Chen PENG

作者机构：College of MathematicsSichuan UniversityChengdu 610065China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2022年第38卷第2期

页      面：497-511页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0701[理学-数学] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.11771306 11901408)。 

主　　题：Ginzburg-Landau model liquid^(4)He existence uniqueness regularity semigroup of operator 

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.