典型文献
Global Well-posedness for the Non-viscous MHD Equations with Magnetic Diffusion in Critical Besov Spaces
文献摘要：
In this paper,we mainly investigate the Cauchy problem of the non-viscous MHD equa-tions with magnetic diffusion.We first establish the local well-posedness(existence,uniqueness and continuous dependence)with initial data(u0,b0)in critical Besov spaces Bd/p+1p,1×Bd/pp,1 with 1≤p≤∞,and give a lifespan T of the solution which depends on the norm of the Littlewood-Paley decomposition(profile)of the initial data.Then,we prove the global existence in critical Besov spaces.In particular,the results of global existence also hold in Sobolev space C([0,∞);Hs(S2))×(C([0,∞);Hs-1(S2))∩ L2([0,∞);Hs(S2)))with s＞2,when the initial data satisfies ∫S2 b0dx = 0 and‖u0‖B1∞,1(S2)+‖b0‖B0∞,1(S2)≤ε.It's worth noting that our results imply some large and low regularity initial data for the global existence.
文献关键词：
中图分类号：
作者姓名：
Wei Kui YE;Zhao Yang YIN
作者机构：
Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing 100088,P.R.China;Department of Mathematics,Sun Yat-sen University,Guangzhou 510275,P.R.China
文献出处：
引用格式：
[1]Wei Kui YE;Zhao Yang YIN-.Global Well-posedness for the Non-viscous MHD Equations with Magnetic Diffusion in Critical Besov Spaces)[J].数学学报（英文版）,2022(09):1493-1511
A类：
p+1p,b0dx
B类：
Global,Well,posedness,Non,viscous,MHD,Equations,Magnetic,Diffusion,Critical,Besov,Spaces,In,this,paper,mainly,investigate,Cauchy,problem,equa,magnetic,diffusion,first,establish,local,well,existence,uniqueness,continuous,dependence,initial,data,u0,critical,spaces,Bd,pp,give,lifespan,solution,which,depends,norm,Littlewood,Paley,decomposition,profile,Then,prove,global,particular,results,also,hold,Sobolev,Hs,S2,L2,when,satisfies,B1,B0,It,worth,noting,that,our,imply,some,large,low,regularity
AB值：
0.573664
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