ON MONOTONE TRAVELING WAVES FOR NICHOLSON'S BLOWFLIES EQUATION WITH DEGENERATE p-LAPLACIAN DIFFUSION  

作　　者：Rui HUANG Yong WANG Zhuo YIN 黄锐;王勇;尹卓(School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China)

机构地区：[1]School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China

出　　处：《Acta Mathematica Scientia》2024年第4期1550-1571,共22页数学物理学报（B辑英文版）

基　　金：partially supported by the NSFC(11971179,12371205);partially supported by the National Key R&D Program of China(2021YFA1002900);the Guangdong Province Basic and Applied Basic Research Fund(2021A1515010235);the Guangzhou City Basic and Applied Basic Research Fund(2024A04J6336)。

摘　　要：We study the existence and stability of monotone traveling wave solutions of Nicholson's blowflies equation with degenerate p-Laplacian diffusion.We prove the existence and nonexistence of non-decreasing smooth traveling wave solutions by phase plane analysis methods.Moreover,we show the existence and regularity of an original solution via a compactness analysis.Finally,we prove the stability and exponential convergence rate of traveling waves by an approximated weighted energy method.

关 键 词：degenerate diffusion P-LAPLACIAN traveling waves stability 

分 类 号：O175[理学—数学]