粘性波动方程解的逐点估计  

Pointwise estimate of solution for viscous wave equation

作　　者：徐红梅[1] 郭晓晓 XU Hongmei;GUO Xiaoxiao(College of Science,Hohai University,Nanjing 211100,China)

机构地区：[1]河海大学理学院,江苏南京211100

出　　处：《湖北大学学报（自然科学版）》2024年第2期211-216,共6页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(12271141)资助。

摘　　要：本文中研究二维空间带粘性项非线性波动方程解的逐点估计。在经典解整体存在的情况下,解可由格林函数表示,通过对格林函数的详细分析,以及它与非线性项的相互作用,得到解的逐点衰减。Pointwise estimate of solution of nonlinear wave equation with viscous term in two-dimensional space was studied.Based on the global existence of classical solution,the solution was firstly represented by Green’s function.Through the detailed analysis of Green’s function and its interaction with nonlinear term,pointwise estimation of the solution was obtained.

关 键 词：二维空间 粘性波动方程 逐点估计 

分 类 号：O175.28[理学—数学]