三维磁粘弹性流数学模型的Cauchy问题  

The Cauchy problem for a mathematical model of 3D magneto-viscoelastic flows

作　　者：张梓楸 赵晓朋 ZHANG Ziqiu;ZHAO Xiaopeng(College of Sciences,Northeastern University,Shenyang 110004,China)

机构地区：[1]东北大学理学院,辽宁沈阳110004

出　　处：《渤海大学学报(自然科学版)》2024年第3期205-211,共7页Journal of Bohai University:Natural Science Edition

基　　金：国家自然科学基金项目(No:11401258)。

摘　　要：主要考虑一类三维磁粘弹性流方程组的Cauchy问题.利用能量估计结合负Sobolev模范数估计证得了方程组Cauchy问题强解的小初值整体存在性,并给出了整体强解高阶导数的衰减估计.In this paper,we consider the Cauchy problem of a class of magneto viscoelastic flow equations.By combining energy estimation with negative Sobolev norm estimation,we prove the global existence of small initial values for strong solutions to the Cauchy problem of the system of equations,and provide decay estimates for the high-order derivatives of the global strong solutions.

关 键 词：磁粘弹性流 能量估计 负Sobolev模范数估计 

分 类 号：O175.2[理学—数学]