数学杂志2024，Vol.44Issue(1)：84-94,11.
二维线性化Navier-Stokes-Poisson方程解的逐点估计
POINTWISE ESTIMATE OF SOLUTION TO LINEARIZED NAVIER-STOKES-POISSON SYSTEM IN TWO SPACE DIMENSION
摘要
Abstract
Cauchy problem of linearized Navier-Stokes-Poisson system in two dimensional space is considered.Through changing the system into several equations for single function,we solved the function and got the Green function for the system.Using detailed analysis of the Green function,we got pointwise estimation of the solution.The result shows electron fluid density decays as fast as heat kernel,but momentum decays slower,even though its L2 norm does not decay.关键词
Navier-Stokes-Poisson方程/二维空间/格林函数/逐点估计Key words
Navier-Stokes-Poisson system/two-dimensional space/Green function/point-wise estimate分类
数理科学引用本文复制引用
徐红梅,肖连慧..二维线性化Navier-Stokes-Poisson方程解的逐点估计[J].数学杂志,2024,44(1):84-94,11.基金项目
国家自然科学基金资助(12271141). （12271141）
