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典型文献
LARGE TIME BEHAVIOR OF GLOBAL STRONG SOLUTIONS TO A TWO-PHASE MODEL WITH A MAGNETIC FIELD
文献摘要:
In this paper,the Cauchy problem for a two-phase model with a magnetic field in three dimensions is considered.Based on a new linearized system with respect to(c-c∞,P-P∞,u,H)for constants c∞≥0 and P∞>0,the existence theory of global strong solution is established when the initial data is close to its equilibrium in three dimensions for the small H2 initial data.We improve the existence results obtained by Wen and Zhu in[40]where an additional assumption that the initial perturbations are bounded in L1-norm was needed.The energy method combined with the low-frequency and high-frequency decomposition is used to derive the decay of the solution and hence the global existence.As a by-product,the time decay estimates of the solution and its derivatives in the L2-norm are obtained.
文献关键词:
作者姓名:
Wenjun WANG;Zhen CHENG
作者机构:
College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China
引用格式:
[1]Wenjun WANG;Zhen CHENG-.LARGE TIME BEHAVIOR OF GLOBAL STRONG SOLUTIONS TO A TWO-PHASE MODEL WITH A MAGNETIC FIELD)[J].数学物理学报(英文版),2022(05):1921-1946
A类:
LARGE,BEHAVIOR,GLOBAL,MAGNETIC
B类:
TIME,OF,STRONG,SOLUTIONS,TO,TWO,PHASE,MODEL,WITH,FIELD,In,this,paper,Cauchy,problem,two,phase,model,magnetic,field,three,dimensions,considered,Based,new,linearized,system,respect,constants,existence,theory,global,strong,solution,established,when,initial,data,close,its,equilibrium,small,H2,improve,results,obtained,by,Wen,Zhu,where,additional,assumption,that,perturbations,are,bounded,L1,norm,was,needed,energy,method,combined,low,frequency,high,decomposition,used,derive,decay,hence,product,estimates,derivatives,L2
AB值:
0.616036
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