二维不可压Navier-Stokes-Landau-Lifshitz-Bloch方程的整体弱解的存在性  

Global existence of the weak solution to the incompressible Navier-Stokes-Landau-Lifshitz-Bloch equations in 2-dimension

作　　者：申会玲 SHEN Hui-ling(School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2022年第1期47-52,共6页Journal of Guangzhou University:Natural Science Edition

摘　　要：运用Faedo-Galerkin方法构造二维不可压Navier-Stokes-Landau-Lifshitz-Bloch方程的近似解,再对近似解做一致有界估计,最后根据Aubin-Lions引理等紧性理论证明弱解的存在性。The Faedo-Galerkin method is used to construct the approximate solution of the two-dimensional incompressible Navier-Stokes-Landau-Lifshitz-Bloch equation,and the uniformly bounded estimation of the approximate solution is made.Finally,the existence of the weak solution is proved according to the Aubin-Lions lemma isocompactness theory.

关 键 词：不可压Navier-Stokes-Landau-Lifshitz-Bloch方程 弱解 存在性 

分 类 号：O175.29[理学—数学]