典型文献
THE GLOBAL EXISTENCE AND A DECAY ESTIMATE OF SOLUTIONS TO THE PHAN-THEIN-TANNER MODEL
文献摘要:
In this paper,we study the global existence and decay rates of strong solutions to the three dimensional compressible Phan-Thein-Tanner model.By a refined energy method,we prove the global existence under the assumption that the H3 norm of the initial data is small,but that the higher order derivatives can be large.If the initial data belong to homogeneous Sobolev spaces or homogeneous Besov spaces,we obtain the time decay rates of the solution and its higher order spatial derivatives.Moreover,we also obtain the usual Lp-L2(l≤p≤2)type of the decay rate without requiring that the Lp norm of initial data is small.
文献关键词:
中图分类号:
作者姓名:
Ruiying WEI;Yin LI;Zheng-an YAO
作者机构:
School of Mathematics and Statistics,Shaoguan University,Shaoguan 512005,China;Faculty of Education,Shaoguan University,Shaoguan 512005,China;Department of Mathematics,Sun Yat-sen University,Guangzhou 510275,China
文献出处:
引用格式:
[1]Ruiying WEI;Yin LI;Zheng-an YAO-.THE GLOBAL EXISTENCE AND A DECAY ESTIMATE OF SOLUTIONS TO THE PHAN-THEIN-TANNER MODEL)[J].数学物理学报(英文版),2022(03):1058-1080
A类:
GLOBAL,EXISTENCE,DECAY,PHAN,THEIN,TANNER,Thein
B类:
AND,ESTIMATE,OF,SOLUTIONS,TO,MODEL,In,this,paper,we,study,global,existence,decay,rates,strong,solutions,three,dimensional,compressible,Phan,Tanner,model,By,refined,energy,method,prove,under,assumption,that,H3,norm,initial,data,small,but,higher,order,derivatives,can,large,If,belong,homogeneous,Sobolev,spaces,Besov,obtain,its,spatial,Moreover,also,usual,Lp,L2,type,without,requiring
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0.526558
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