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典型文献
GLOBAL WELL-POSEDNESS OF A PRANDTL MODEL FROM MHD IN GEVREY FUNCTION SPACES
文献摘要:
We consider a Prandtl model derived from MHD in the Prandtl-Hartmann regime that has a damping term due to the effect of the Hartmann boundary layer.A global-in-time well-posedness is obtained in the Gevrey function space with the optimal index 2.The proof is based on a cancellation mechanism through some auxiliary functions from the study of the Prandtl equation and an observation about the structure of the loss of one order tangential derivatives through twice operations of the Prandtl operator.
文献关键词:
作者姓名:
Weixi LI;Rui XU;Tong YANG
作者机构:
School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China;Hubei Key Laboratory of Computational Science,Wuhan University,Wuhan 430072,China;Department of Mathematics,City University of Hong Kong,Hong Kong,China
引用格式:
[1]Weixi LI;Rui XU;Tong YANG-.GLOBAL WELL-POSEDNESS OF A PRANDTL MODEL FROM MHD IN GEVREY FUNCTION SPACES)[J].数学物理学报(英文版),2022(06):2343-2366
A类:
GLOBAL,POSEDNESS,PRANDTL,GEVREY,SPACES
B类:
WELL,OF,MODEL,FROM,MHD,IN,FUNCTION,We,consider,Prandtl,model,derived,from,Hartmann,regime,that,has,damping,term,due,effect,boundary,layer,global,well,posedness,obtained,Gevrey,space,optimal,proof,cancellation,mechanism,through,some,auxiliary,functions,study,equation,observation,about,structure,loss,one,order,tangential,derivatives,twice,operations,operator
AB值:
0.608048
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