典型文献
POINTWISE SPACE-TIME BEHAVIOR OF A COMPRESSIBLE NAVIER-STOKES-KORTEWEG SYSTEM IN DIMENSION THREE
文献摘要：
The Cauchy problem of compressible Navier-Stokes-Korteweg system in R3 is considered here.Due to capillarity effect of material,we obtain the pointwise estimates of the solution in an H4-framework,which is different from the previous results for the compressible Navier-Stokes system in an H6-framework[24,25].Our result mainly relies on two different descriptions of the singularity in the short wave of Green's function for dealing initial propagation and nonlinear coupling respectively.Our pointwise results demonstrate the generalized Huygens'principle as the compressible Navier-Stokes system.As a corollary,we have an Lp estimate of the solution with p＞1,which is a generalization for p≥2 in[33].
文献关键词：
中图分类号：
作者姓名：
Xiaopan JIANG;Zhigang WU
作者机构：
Department of Mathematics,Donghua University,Shanghai 201620,China
文献出处：
引用格式：
[1]Xiaopan JIANG;Zhigang WU-.POINTWISE SPACE-TIME BEHAVIOR OF A COMPRESSIBLE NAVIER-STOKES-KORTEWEG SYSTEM IN DIMENSION THREE)[J].数学物理学报（英文版）,2022(05):2113-2130
A类：
POINTWISE,BEHAVIOR,KORTEWEG,DIMENSION,THREE
B类：
SPACE,TIME,OF,COMPRESSIBLE,NAVIER,STOKES,SYSTEM,Cauchy,problem,compressible,Navier,Stokes,Korteweg,system,R3,considered,here,Due,capillarity,effect,material,obtain,pointwise,estimates,solution,H4,framework,which,different,from,previous,results,H6,Our,mainly,relies,two,descriptions,singularity,short,wave,Green,function,dealing,initial,propagation,nonlinear,coupling,respectively,demonstrate,generalized,Huygens,principle,as,corollary,have,Lp,generalization
AB值：
0.574477
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