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

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外文摘要：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 analy-sis 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.

外文关键词：

degenerate diffusionp-Laplaciantraveling wavesstability

作者：

黄锐、王勇、尹卓

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作者单位：

School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China

基金：

NSFCNSFCNational Key R&D Program of ChinaGuangdong Province Basic and Applied Basic Research FundGuangzhou City Basic and Applied Basic Research Fund

项目编号：

11971179123712052021YFA10029002021A15150102352024A04J6336

出版年：

2024

DOI：

10.1007/s10473-024-0420-8

数学物理学报(英文版)

中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD

影响因子：0.256

ISSN：0252-9602

年,卷(期)：2024.44(4)