完全可压缩磁流体动力系统的一致正则性  

Uniform regularity for the full compressible MHD system

作　　者：魏旭 唐童 王伟华 WEI Xu;TANG Tong;WANG Weihua(College of Science,Hohai University,Nanjing 210098,China;College of Mathematical Science,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]河海大学理学院,江苏南京210098 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《纯粹数学与应用数学》2024年第2期247-257,共11页Pure and Applied Mathematics

基　　金：国家自然科学基金(11801138);江苏省自然科学基金(BK20221369)。

摘　　要：众所周知,自然界的许多物体都会受到磁场的影响.本文构造了新的泛函关系并结合各种不等式证明了热传导率为零的完全可压缩磁流体动力系统的光滑解在T^(3)中的一致正则性,强解的一致正则性在粘性极限的消失和强解的存在性中有着重要的作用.As is well known,many objects in nature are affected by magnetic fields.In this paper,we construct new functional relationships and combine various inequalities to prove the uniform regularity of smooth solutions for completely compressible magnetohydrodynamic systems with zero thermal conductivity in T^(3).The uniform regularity of strong solutions plays an important role in the vanishing viscosity limit and existence of strong solution.

关 键 词：磁流体动力系统 可压缩 一致正则性 

分 类 号：O175.2[理学—数学]